{"id":6834,"date":"2022-03-27T13:27:09","date_gmt":"2022-03-27T07:57:09","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=6834"},"modified":"2022-04-07T12:41:38","modified_gmt":"2022-04-07T07:11:38","slug":"go-math-grade-8-answer-key-chapter-14-scatter-plots","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/go-math-grade-8-answer-key-chapter-14-scatter-plots\/","title":{"rendered":"Go Math Grade 8 Answer Key Chapter 14 Scatter Plots"},"content":{"rendered":"<p>Students can grab the complete knowledge on Divide Fractions on Go Math Grade 8 Answer Key Chapter 14 Scatter Plots. This article consists of the solutions to practice problems, review tests along with answers and explanations for students to have more practice. So, the students who are in search of Go Math 8th Grade Answer Key Chapter 14 Scatter Plots can Download pdf from here. It is difficult for parents and teachers to deal with the students &amp; give explanations for their questions. Therefore, start practicing the maths with the help of <a href=\"https:\/\/ccssmathanswers.com\/go-math-grade-8-answer-key\/\" target=\"_blank\" rel=\"noopener noreferrer\">Go Math Grade 8 Answer Key<\/a>.<\/p>\n<h2>Go Math Grade 8 Answer Key Chapter 14 Scatter Plots<\/h2>\n<p>We the team of ccss math answers offer the pdf of Go Math Grade 8 Answer Key Chapter 14 Scatter Plots. Get step by step solution for Go Math Grade 8 Answer Key Chapter 14 Scatter Plots here. With the help of the HMH Go Math 8th Grade Solution Key you can score good marks in the exams. If you learn the concepts you can make the question on your own and test your knowledge. Hence make use of the below links and practice the given problems from now.<\/p>\n<p><strong>Lesson 1: Scatter Plots and Association<\/strong><\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li><a href=\"#Scatter_Plots_and_Association_-_Page_No._436\">Scatter Plots and Association &#8211; Page No. 436<\/a><\/li>\n<li><a href=\"#Scatter_Plots_and_Association_-_Page_No._437\">Scatter Plots and Association &#8211; Page No. 437<\/a><\/li>\n<li><a href=\"#Scatter_Plots_and_Association_-_Page_No._438\">Scatter Plots and Association &#8211; Page No. 438<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><strong>Lesson 2: Trend Lines and Predictions<\/strong><\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li><a href=\"#Trend_Lines_and_Predictions_-_Page_No._442\">Trend Lines and Predictions &#8211; Page No. 442<\/a><\/li>\n<li><a href=\"#Trend_Lines_and_Predictions_-_Page_No._443\">Trend Lines and Predictions &#8211; Page No. 443<\/a><\/li>\n<li><a href=\"#Trend_Lines_and_Predictions_-_Page_No._444\">Trend Lines and Predictions &#8211; Page No. 444<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><strong>Model Quiz<\/strong><\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li><a href=\"#Model_Quiz_-_Page_No._445\">Model Quiz &#8211; Page No. 445<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><strong>Mixed Review<\/strong><\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li><a href=\"#Mixed_Review_-_Page_No._446\">Mixed Review &#8211; Page No. 446<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<ul>\n<li style=\"list-style-type: none;\"><\/li>\n<\/ul>\n<h3><a id=\"Scatter_Plots_and_Association_-_Page_No._436\"><\/a>Guided Practice &#8211; Scatter Plots and Association &#8211; Page No. 436<\/h3>\n<p><strong>Bob recorded his height at different ages. The table below shows his data.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-14-Scatter-Plots-img-1.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 14 Scatter Plots Lesson 1: Scatter Plots and Association img 1\" width=\"381\" height=\"75\" \/><\/p>\n<p>Question 1.<br \/>\nMake a scatter plot of Bob\u2019s data.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-14-Scatter-Plots-img-2.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 14 Scatter Plots Lesson 1: Scatter Plots and Association img 2\" width=\"355\" height=\"228\" \/><br \/>\nType below:<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-8251\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-14-image-1.jpg\" alt=\"grade 8 chapter 14 image 1\" width=\"221\" height=\"171\" \/><\/p>\n<p>Explanation:<br \/>\nAs Bob gets older, his height increases along with the straight line on the<br \/>\ngraph. So, the association is positive and linear.<\/p>\n<p>Question 2.<br \/>\nDescribe the association between Bob\u2019s age and his height. Explain the association.<br \/>\nType below:<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\nThe association is positive and linear. Bob&#8217;s height increases as he gets older. We would see that Bob&#8217;s height eventually stops increasing if the data continued.<\/p>\n<p>Question 3.<br \/>\nThe scatter plot shows the basketball shooting results for 14 players. Describe any clusters you see in the scatter plot. Identify any outliers.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-14-Scatter-Plots-img-3.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 14 Scatter Plots Lesson 1: Scatter Plots and Association img 3\" width=\"221\" height=\"181\" \/><br \/>\nType below:<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\nThere is an outlier at (35,18)<\/p>\n<p>Explanation:<br \/>\nThere is a cluster in the &#8220;20 &#8211; 25&#8221; shots attempted range and a smaller cluster in the &#8220;5 &#8211; 14&#8221; shots attempted range.<br \/>\nThere is an outlier at (35,18)<\/p>\n<p><strong>ESSENTIAL QUESTION CHECK-IN<\/strong><\/p>\n<p>Question 4.<br \/>\nExplain how you can make a scatter plot from a set of bivariate data.<br \/>\nType below:<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\nBivariate data &#8211; data that has two variables per observation,<br \/>\nAn x variable and y variable.<br \/>\nScatterplot &#8211; The graph displaying categorical data, with an x and y-axis.<br \/>\nResponse Variable &#8211; the variable that is explained by the other.<br \/>\nExplanatory Variable &#8211; the variable which explains the other.<\/p>\n<h3><a id=\"Scatter_Plots_and_Association_-_Page_No._437\"><\/a>14.1 Independent Practice &#8211; Scatter Plots and Association &#8211; Page No. 437<\/h3>\n<p><strong>Sports Use the scatter plot for 5\u20138.<\/strong><\/p>\n<p><strong>Olympic Men\u2019s Long Jump Winning Distances<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-14-Scatter-Plots-img-4.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 14 Scatter Plots Lesson 1: Scatter Plots and Association img 4\" width=\"362\" height=\"278\" \/><\/p>\n<p>Question 5.<br \/>\nDescribe the association between the year and the distance jumped for the years 1960 to 1988.<br \/>\nType below:<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\nThe data shows a positive linear association. If the year increases, the winning distance increases.<\/p>\n<p>Question 6.<br \/>\nDescribe the association between the year and the distance jumped for the years after 1988.<br \/>\nType below:<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\nBetween 1996 and 2004, there was a slight increase in distance over time. The data from 1988 to 2012 will show a negative association.<\/p>\n<p>Question 7.<br \/>\nFor the entire scatter plot, is the association between the year and the distance jumped linear or nonlinear?<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\nThe data show a rise between 1960 and 1988. The data also show a fall between 1988 and 2012. Therefore, overall, there is no linear pattern.<\/p>\n<p>Question 8.<br \/>\nIdentify the outlier and interpret its meaning.<br \/>\nType below:<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\nThe outlier is at (1968, 8.9). It represents a long jump of 8.9 meters in 1968 that exceeds the other jumps made in the surrounding years.<\/p>\n<p>Question 9.<br \/>\nCommunicate Mathematical Ideas Compare a scatter plot that shows no association to one that shows negative association.<br \/>\nType below:<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\nRandomly scattered data points with no apparent pattern define a scatter plot with no association. Data points that fall from left to right and has data set values that increases as the other decreases define a scatter plot with a negative association.<\/p>\n<h3><a id=\"Scatter_Plots_and_Association_-_Page_No._438\"><\/a>Scatter Plots and Association &#8211; Page No. 438<\/h3>\n<p><strong>For 10\u201311, describe a set of real-world bivariate data that the given scatter plot could represent. Define the variable represented on each axis.<\/strong><\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-14-Scatter-Plots-img-5.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 14 Scatter Plots Lesson 1: Scatter Plots and Association img 5\" width=\"242\" height=\"245\" \/><br \/>\n_____________<\/p>\n<p>Answer:<br \/>\nThe x-axis represents the number of containers. The y-&amp;is represents the price per container.<\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-14-Scatter-Plots-img-6.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 14 Scatter Plots Lesson 1: Scatter Plots and Association img 6\" width=\"244\" height=\"249\" \/><br \/>\n_____________<\/p>\n<p>Answer:<br \/>\nThe x-axis represents the number of hours spent watching tv. The y-axis represents the number of TVs owned.<\/p>\n<p><strong>FOCUS ON HIGHER ORDER THINKING<\/strong><\/p>\n<p>Question 12.<br \/>\nMultiple Representations Describe what you might see in a table of bivariate data that would lead you to conclude that the scatter plot of the data would show a cluster.<br \/>\nType below:<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\nA cluster in a scatter plot is when there are a lot of points all grouped around the same location.<br \/>\nLook for points that have the same input and output values. If there are a lot of points together, you must have a cluster in your scatter plot.<\/p>\n<p>Question 13.<br \/>\nJustify Reasoning Is it possible for a scatter plot to have a positive or negative association that is not linear? Explain.<br \/>\nType below:<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\nYes<\/p>\n<p>Explanation:<br \/>\nYes; it is possible for a scatter plot to have a positive or negative association that is not linear. The data points may have a falling or rising curve that will exhibit a nonlinear association.<\/p>\n<p>Question 14.<br \/>\nCritical Thinking To try to increase profits, a theater owner increases the price of a ticket by $25 every month. Describe what a scatter plot might look like if x represents the number of months and y represents the profits. Explain your reasoning.<br \/>\nType below:<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\nInitially, the number of tickets sold might decline a little, but the price increase would offset the loss in sales. That means that profits would increase, showing a positive association.<br \/>\nWhen the price would get too high, ticket sales would decline rapidly, so profits would fall giving a negative association.<\/p>\n<h3><a id=\"Trend_Lines_and_Predictions_-_Page_No._442\"><\/a>Guided Practice &#8211; Trend Lines and Predictions &#8211; Page No. 442<\/h3>\n<p><strong>Angela recorded the price of different weights of several bulk grains. She made a scatter plot of her data. Use the scatter plot for 1\u20134.<\/strong><\/p>\n<p>Question 1.<br \/>\nDraw a trend line for the scatter plot.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-14-Scatter-Plots-img-7.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 14 Scatter Plots Lesson 2: Trend Lines and Predictions img 7\" width=\"271\" height=\"266\" \/><br \/>\nType below:<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-8266\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-14-image-2.jpg\" alt=\"grade 8 chapter 14 image 2\" width=\"288\" height=\"285\" \/><\/p>\n<p>Question 2.<br \/>\nHow do you know whether your trend line is a good fit for the data?<br \/>\nType below:<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\nMost of the data points are close to the trend line. The trend line has about the same number of points above and below it.<\/p>\n<p>Question 3.<br \/>\nWrite an equation for your trend line.<br \/>\nType below:<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\ny = 0.09x<\/p>\n<p>Explanation:<br \/>\nThe trend line passes through (0, 0) and (19, 1.80).<br \/>\nFind the slope by using the slope formula.<br \/>\nslope = m = (y2 &#8211; y1)\/(x2 &#8211; x1) = 1.80\/19 = 0.09<br \/>\nThe line passes through the origin. So, the y-intercept is 0.<br \/>\nFrom an equation for the trend line by substituting the slope value for m and the value of the y-intercept b in the slope-intercept formula.<br \/>\ny = mx + b<br \/>\ny = 0.09x + 0<br \/>\ny = 0.09x<\/p>\n<p>Question 4.<br \/>\nUse the equation for your trend line to interpolate the price of 7 ounces and extrapolate the price of 50 ounces.<br \/>\nType below:<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\nThe price for 7 and 50 ounces is $0.63 and $4.50<\/p>\n<p>Explanation:<br \/>\nUse the equation for the trend line (y = 0.09x) to interpolate the price of 7 ounces by substituting 7 for x (y= 0.09 \u2022 7) and solving for y.<br \/>\nUse the equation for the trend line (y = 0.09x) to interpolate the price of 50 ounces by substituting 50 for x (y= 0.09 \u2022 50) and solving for y.<\/p>\n<p><strong>ESSENTIAL QUESTION CHECK-IN<\/strong><\/p>\n<p>Question 5.<br \/>\nA trend line passes through two points on a scatter plot. How can you use the trend line to make a prediction between or outside the given data points?<br \/>\nType below:<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\nUse two points on the line. rind the slope and y-intercept. Substitute the values of the slope (m) and y-intercept (b) to form an equation using y = mx + b. Substitute the value of x for which you want to make a prediction and solve for y OR substitute your prediction for y and solve to find its value.<\/p>\n<h3><a id=\"Trend_Lines_and_Predictions_-_Page_No._443\"><\/a>14.2 Independent Practice &#8211; Trend Lines and Predictions &#8211; Page No. 443<\/h3>\n<p><strong>Use the data in the table for Exercises 6\u201310.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-14-Scatter-Plots-img-8.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 14 Scatter Plots Lesson 2: Trend Lines and Predictions img 8\" width=\"461\" height=\"132\" \/><\/p>\n<p>Question 6.<br \/>\nMake a scatter plot of the data and draw a trend line.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-14-Scatter-Plots-img-9.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 14 Scatter Plots Lesson 2: Trend Lines and Predictions img 9\" width=\"240\" height=\"268\" \/><br \/>\nType below:<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-8267\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-14-image-3.jpg\" alt=\"grade 8 chapter 14 image 3\" width=\"265\" height=\"288\" \/><\/p>\n<p>Question 7.<br \/>\nWhat type of association does the trend line show?<br \/>\nType below:<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\nNegative Association<\/p>\n<p>Explanation:<br \/>\nOne data set increases &#8211; Wind Speed and the other &#8211; Wind Chill decreases. So, the trend line shows a Negative Association.<\/p>\n<p>Question 8.<br \/>\nWrite an equation for your trend line.<br \/>\nType below:<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\ny = -0.25x + 2.5<\/p>\n<p>Explanation:<br \/>\nFind the slope using the Slope Formula<br \/>\nm = (y2 &#8211; y1)\/(x2 &#8211; x1) = ((-10) &#8211; 5)\/(50 &#8211; 30) = -5\/20 = -0.25<br \/>\nFind the y-intercept using the Slope-Intercept Formula<br \/>\ny = mx + b<br \/>\n-5 = -0.25(30) + b<br \/>\n-5 = -7.5 + b<br \/>\n2.5 = b<br \/>\nSubstitute the value of m and b into the Slope-Intercept Formula to form an equation for the trend line.<br \/>\ny = -0.25x + 2.5<\/p>\n<p>Question 9.<br \/>\nMake a Prediction Use the trend line to predict the wind chill at these wind speeds.<br \/>\na. 36 mi\/h<br \/>\n_________ \u00b0F<\/p>\n<p>Answer:<br \/>\n-6.5\u00b0F<\/p>\n<p>Explanation:<br \/>\nUse the trend line to predict the wind chill at 36mi\/h<br \/>\ny = -0.25x + 2.5<br \/>\ny = -0.25(36) + 2.5<br \/>\ny = -9 + 2.5<br \/>\ny = -6.5<br \/>\nThe wind chill at 36mi\/h is -6.5\u00baF<\/p>\n<p>Question 9.<br \/>\nb. 100 mi\/h<br \/>\n_________ \u00b0F<\/p>\n<p>Answer:<br \/>\n-22.5\u00b0F<\/p>\n<p>Explanation:<br \/>\nUse the trend line to predict the wind chill at 100mi\/h<br \/>\ny = -0.25x + 2.5<br \/>\ny = -0.25(100) + 2.5<br \/>\ny = -25 + 2.5<br \/>\ny = -22.5<br \/>\nThe wind chill at 100mi\/h is -22.5\u00baF<\/p>\n<p>Question 10.<br \/>\nWhat is the meaning of the slope of the line?<br \/>\nType below:<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\nThe slope means that the wind chill falls about 1\u00b0F for every 4 mph increase in wind speed.<\/p>\n<p><strong>Use the data in the table for Exercises 11\u201314.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-14-Scatter-Plots-img-10.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 14 Scatter Plots Lesson 2: Trend Lines and Predictions img 10\" width=\"443\" height=\"139\" \/><\/p>\n<p>Question 11.<br \/>\nMake a scatter plot of the data and draw a trend line.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-14-Scatter-Plots-img-11.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 14 Scatter Plots Lesson 2: Trend Lines and Predictions img 11\" width=\"265\" height=\"290\" \/><br \/>\nType below:<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-8268\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-14-image-4-278x300.jpg\" alt=\"grade 8 chapter 14 image 4\" width=\"278\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-14-image-4-278x300.jpg 278w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-14-image-4.jpg 283w\" sizes=\"(max-width: 278px) 100vw, 278px\" \/><\/p>\n<p>Question 12.<br \/>\nWrite an equation for your trend line.<br \/>\nType below:<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\ny = -(2\/15)x + 64<\/p>\n<p>Explanation:<br \/>\nFind the slope using the Slope Formula<br \/>\nm = (y2 &#8211; y1)\/(x2 &#8211; x1) = (72 &#8211; 64)\/(60 &#8211; 0) = 8\/60 = -2\/15<br \/>\nFind the y-intercept using the Slope-Intercept Formula at (0, 64)<br \/>\ny = mx + b<br \/>\nb = 64<br \/>\nSubstitute the value of m and b into the Slope-Intercept Formula to form an equation for the trend line.<br \/>\ny = -2\/15x + 64<\/p>\n<p>Question 13.<br \/>\nMake a Prediction Use the trend line to predict the apparent temperature at 70% humidity.<br \/>\nType below:<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\n73.3\u00ba F<\/p>\n<p>Explanation:<br \/>\nUse the equation of the trend line. Substitute 70(for 70%) into the equation for x.<br \/>\ny = -(2\/15)x + 64<br \/>\ny = -(2\/15)(70) + 64<br \/>\ny = -140\/15 + 64<br \/>\ny = -9.3 + 64<br \/>\ny = 73.3<br \/>\nThe apparent temperature is 73.3\u00ba F<\/p>\n<p>Question 14.<br \/>\nWhat is the meaning of the y-intercept of the line?<br \/>\nType below:<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\nThe y-intercept explains that at 0% humidity, the apparent temperature is 64\u00baF<\/p>\n<h3><a id=\"Trend_Lines_and_Predictions_-_Page_No._444\"><\/a>FOCUS ON HIGHER ORDER THINKING &#8211; Trend Lines and Predictions &#8211; Page No. 444<\/h3>\n<p>Question 15.<br \/>\nCommunicate Mathematical Ideas Is it possible to draw a trend line on a scatter plot that shows no association? Explain.<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\nNo<\/p>\n<p>Explanation:<br \/>\nIt is not possible to draw a trend line on a scatter plot that shows no association. If the scatter plot shows no association, the data points have no relationships with one another. You can draw a trend line if a linear association is available.<\/p>\n<p>Question 16.<br \/>\nCritique Reasoning Sam drew a trend line that had about the same number of data points above it as below it, but did not pass through any data points. He then picked two data points to write the equation for the line. Is this a correct way to write the equation? Explain.<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\nNo<\/p>\n<p>Explanation:<br \/>\nSam did not use the correct way to write an equation.<br \/>\nSam may have drawn a correct trend line but using the data points that are not on the trend line may have an incorrect equation for the line. He should use two points on that trend line to write the equation.<\/p>\n<p>Question 17.<br \/>\nMarlene wanted to find a relationship between the areas and populations of counties in Texas. She plotted x (area in square miles) and y (population) for two counties on a scatter plot:<br \/>\nKent County (903, 808)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Edwards County (2118, 2002)<br \/>\nShe concluded that the population of Texas counties is approximately equal to their area in square miles and drew a trend line through her points.<br \/>\na. Critique Reasoning Do you agree with Marlene\u2019s method of creating a scatter plot and a trend line? Explain why or why not.<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\nI do not agree with Marlene&#8217;s method of creating a scatter plot and a trend line. She did not have enough data. Marlene should have collected and plotted data for many more counties.<\/p>\n<p>Question 17.<br \/>\nb. Counterexamples Harris County has an area of 1778 square miles and a population of about 4.3 million people. Dallas County has an area of 908 square miles and a population of about 2.5 million people. What does this data show about Marlene\u2019s conjecture that the population of Texas counties is approximately equal to their area?<br \/>\nType below:<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\nThe data collected are only of two counties whose populations are nearly equal to their area. The fact that the populations of Harris and Dallas counties are in the millions, Marlene&#8217;s conjecture about the population of Texas counties being equivalent to their area is invalid.<\/p>\n<h3><a id=\"Model_Quiz_-_Page_No._445\"><\/a>Ready to Go On? &#8211; Model Quiz &#8211; Page No. 445<\/h3>\n<p><strong>14.1 Scatter Plots and Association<\/strong><\/p>\n<p><strong>An auto store is having a sale on motor oil. The chart shows the price per quart as the number of quarts purchased increases. Use the data for Exs. 1\u20132.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-14-Scatter-Plots-img-12.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 14 Scatter Plots Model Quiz img 12\" width=\"464\" height=\"89\" \/><\/p>\n<p>Question 1.<br \/>\nUse the given data to make a scatter plot.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-14-Scatter-Plots-img-13.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 14 Scatter Plots Model Quiz img 13\" width=\"190\" height=\"192\" \/><br \/>\nType below:<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-8269\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-14-image-5.jpg\" alt=\"grade 8 chapter 14 image 5\" width=\"205\" height=\"201\" \/><\/p>\n<p>Question 2.<br \/>\nDescribe the association you see between the number of quarts purchased and the price per quart. Explain.<br \/>\nType below:<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\nNegative nonlinear association<\/p>\n<p>Explanation:<br \/>\nThe association seen between the number of quarts purchased and the price per quart is negative and nonlinear. As the number of quarts rises, the price per quart decreases but you can see a data curve.<\/p>\n<p><strong>14.2 Trend Lines and Predictions<\/strong><\/p>\n<p><strong>The scatter plot below shows data comparing wind speed and wind chill for an air temperature of 20 \u00b0F. Use the scatter plot for Exs. 3\u20135.<\/strong><\/p>\n<p>Question 3.<br \/>\nDraw a trend line for the scatter plot.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-14-Scatter-Plots-img-14.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 14 Scatter Plots Model Quiz img 14\" width=\"321\" height=\"297\" \/><br \/>\nType below:<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-8270\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-14-image-6-300x265.jpg\" alt=\"grade 8 chapter 14 image 6\" width=\"300\" height=\"265\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-14-image-6-300x265.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-14-image-6.jpg 346w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 4.<br \/>\nWrite an equation for your trend line.<br \/>\nType below:<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\ny = -0.35x + 12.25<\/p>\n<p>Explanation:<br \/>\nThe line passes through (10, 8.75) and (35, 0) so we can use these points to find the slope.<br \/>\nThe slope of the line is :<br \/>\nSlope = m = (y2 &#8211; y1)\/(x2 &#8211; x1) = (0 &#8211; 8.75)\/(35 &#8211; 10) = -8.75\/25 = -0.35<br \/>\nFind the y-intercept using the slope-intercept formula :<br \/>\ny = mx + b<br \/>\n0 = -0.35 . 35 + b<br \/>\n0 = -12.25 + b<br \/>\nb = 12.25<br \/>\nSubstitute the slope m and the y-intercept b in the slope-intercept formula.<br \/>\nThe equation for the trend line is :<br \/>\ny = mx + b<br \/>\ny = -0.35x + 12.25<\/p>\n<p>Question 5.<br \/>\nUse your equation to predict the wind chill to the nearest degree for a wind speed of 60 mi\/h.<br \/>\n________ \u00b0F<\/p>\n<p>Answer:<br \/>\n9\u00b0F<\/p>\n<p>Explanation:<br \/>\ny = \u22120.35x + 12.25<br \/>\ny = -0.35(60) + 12.25<br \/>\ny = -21 + 12.25<br \/>\ny = -8.75<br \/>\nThe wind chill to the nearest degree for a wind speed of 60 mi\/h is 9\u00b0F.<\/p>\n<p><strong>ESSENTIAL QUESTION<\/strong><\/p>\n<p>Question 6.<br \/>\nHow can you use scatter plots to solve real-world problems?<br \/>\nType below:<br \/>\n_____________<\/p>\n<p>Answer:<br \/>\nUsing a scatter plot, you can see positive and negative trends such as prices over time. You can also make predictions such as height at a certain age.<\/p>\n<h3><a id=\"Mixed_Review_-_Page_No._446\"><\/a>Selected Response &#8211; Mixed Review &#8211; Page No. 446<\/h3>\n<p>Question 1.<br \/>\nWhich scatter plot could have a trend line whose equation is y = 3x + 10?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-14-Scatter-Plots-img-15.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 14 Scatter Plots Mixed Review img 15\" width=\"336\" height=\"361\" \/><br \/>\nOptions:<br \/>\na. A<br \/>\nb. B<br \/>\nc. C<br \/>\nd. D<\/p>\n<p>Answer:<br \/>\nb. B<\/p>\n<p>Question 2.<br \/>\nWhat type of association would you expect between a person\u2019s age and hair length?<br \/>\nOptions:<br \/>\na. linear<br \/>\nb. negative<br \/>\nc. none<br \/>\nd. positive<\/p>\n<p>Answer:<br \/>\nc. none<\/p>\n<p>Explanation:<br \/>\nThe length of their hair reduces. This is because the length of hair changes with the growth phase of the hair follicles. When one is young, the cells of the papilla divide more rapidly, and hence the length of the hair to be long before reaching the transitional phase and then shed off in the telogen phase. The older one gets, the papilla cells do not divide as rapidly and the length of the hair shortens with age.<\/p>\n<p>Question 3.<br \/>\nWhich is not shown on the scatter plot?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-14-Scatter-Plots-img-16.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 14 Scatter Plots Mixed Review img 16\" width=\"139\" height=\"203\" \/><br \/>\nOptions:<br \/>\na. cluster<br \/>\nb. negative association<br \/>\nc. outlier<br \/>\nd. positive association<\/p>\n<p>Answer:<br \/>\nd. positive association<\/p>\n<p>Explanation:<br \/>\nThe scatter plot shows a cluster, some outliers, and a negative association.<br \/>\nIt does not show a positive association.<\/p>\n<p>Question 4.<br \/>\nA restaurant claims to have served 352,000,000 hamburgers. What is this number in scientific notation?<br \/>\nOptions:<br \/>\na. 3.52 \u00d7 10<sup>6<\/sup><br \/>\nb. 3.52 \u00d7 10<sup>8<\/sup><br \/>\nc. 35.2 \u00d7 10<sup>7<\/sup><br \/>\nd. 352 \u00d7 10<sup>6<\/sup><\/p>\n<p>Answer:<br \/>\nb. 3.52 \u00d7 10<sup>8<\/sup><\/p>\n<p>Explanation:<br \/>\n100,000,000<br \/>\nSo, 3.52 \u00d7 10<sup>8<\/sup><\/p>\n<p>Question 5.<br \/>\nWhich equation describes the relationship between x and y in the table?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-14-Scatter-Plots-img-17.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 14 Scatter Plots Mixed Review img 17\" width=\"328\" height=\"82\" \/><br \/>\nOptions:<br \/>\na. y = \u22124x<br \/>\nb. y = \u2212\\(\\frac{1}{4}\\)x<br \/>\nc. y = 4x<br \/>\nd. y = \\(\\frac{1}{4}\\)x<\/p>\n<p>Answer:<br \/>\nb. y = \u2212\\(\\frac{1}{4}\\)x<\/p>\n<p>Explanation:<br \/>\nIn order to find out the relationship between x and y, we have to use the values in the question and substitute them into the solution options.<br \/>\nSo, y = -1\/4x<\/p>\n<p><strong>Mini-Task<\/strong><\/p>\n<p>Question 6.<br \/>\nUse the data in the table.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-14-Scatter-Plots-img-18.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 14 Scatter Plots Mixed Review img 18\" width=\"346\" height=\"105\" \/><br \/>\na. Make a scatterplot of the data.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-14-Scatter-Plots-img-19.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 14 Scatter Plots Mixed Review img 19\" width=\"213\" height=\"246\" \/><br \/>\nType below:<br \/>\n______________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-8318\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-14-image-7.jpg\" alt=\"grade 8 chapter 14 image 7\" width=\"188\" height=\"247\" \/><\/p>\n<p>Question 6.<br \/>\nb. Which data point is an outlier?<br \/>\nType below:<br \/>\n______________<\/p>\n<p>Answer:<br \/>\nThe outlier is the point (92, 135).<\/p>\n<p>Question 6.<br \/>\nc. Predict the number of visitors on a day when the high temperature is 102 \u00b0F.<br \/>\nType below:<br \/>\n______________<\/p>\n<p>Answer:<br \/>\nBased on the cluster around 100\u00b0F, I would expect that on a day with a temperature of 102 \u00b0F, the pool would have between 350 and 400 visitors.<\/p>\n<h3>Conclusion:<\/h3>\n<p>Hope our Go Math Grade 8 Answer Key Chapter 14 Scatter Plots helped you a lot. Stick to our page to get chapter-wise Answer Keys of Go Math Grade 8. You can get step by step explanations for all the questions in an easy manner.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Students can grab the complete knowledge on Divide Fractions on Go Math Grade 8 Answer Key Chapter 14 Scatter Plots. This article consists of the solutions to practice problems, review tests along with answers and explanations for students to have more practice. So, the students who are in search of Go Math 8th Grade Answer &#8230; <a title=\"Go Math Grade 8 Answer Key Chapter 14 Scatter Plots\" class=\"read-more\" href=\"https:\/\/bigideasmathanswers.com\/go-math-grade-8-answer-key-chapter-14-scatter-plots\/\" aria-label=\"More on Go Math Grade 8 Answer Key Chapter 14 Scatter Plots\">Read more<\/a><\/p>\n","protected":false},"author":5,"featured_media":8787,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[2],"tags":[],"jetpack_featured_media_url":"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/go-math-grade-8-chapter-14-scatter-plots-answer-key.jpeg","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/6834"}],"collection":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=6834"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/6834\/revisions"}],"predecessor-version":[{"id":92788,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/6834\/revisions\/92788"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media\/8787"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=6834"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=6834"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=6834"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}