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A popular, nationwide standardized test taken by high-school juniors and seniors may or may not measure academic potential, but we can nonetheless examine the relationship between scores on this test and performance in college. We have chosen a random sample of fifteen students just finishing their first year of college, and for each student we've recorded her score on this standardized test (from 400 to 1600) and her grade point average (from 0 to 4) for her first year in college. The data are shown below, with x denoting the score on the standardized test and y denoting the first-year college grade point average. A scatter plot of the data is shown in Figure 1. Also given is the product of the standardized test score and the grade point average for each of the fifteen students. (These products, written in the column labelled "xy", may aid in calculations.) Standardized test score, X 1250 1350 1080 1200 940 1090 1500 800 1010 1280 990 860 890 Grade point average, y 3.37 3.74 2.75 2.91 2.16 2.06 3.38 2.33 2.97 3.06 2.42 2.32 2.77 3.17 2.95 1480 1410 Send data to calculator V ху 4212.5 5049 2970 3492 2030.4 2245.4 5070 1864 2999.7 3916.8 2395.8 1995.2 2465.3 4691.6 4159.5 Send data to Excel Grade point average Figure 1 3.8- 3.6+ 3.4- 3.2- 3+ 28- 2.6 24+ 2.2. 2. x x 800 900 1000 1100 1200 1300 1400 1500 Standardized test score What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least three decimal places. (If necessary, consult a list of formulas.)

A popular, nationwide standardized test taken by high-school juniors and seniors may or may not measure academic potential, but we can nonetheless examine the relationship between scores on this test and performance in college. We have chosen a random sample of fifteen students just finishing their first year of college, and for each student we've recorded her score on this standardized test (from 400 to 1600) and her grade point average (from 0 to 4) for her first year in college. The data are shown below, with x denoting the score on the standardized test and y denoting the first-year college grade point average. A scatter plot of the data is shown in Figure 1. Also given is the product of the standardized test score and the grade point average for each of the fifteen students. (These products, written in the column labelled "xy", may aid in calculations.) Standardized test score, X 1250 1350 1080 1200 940 1090 1500 800 1010 1280 990 860 890 Grade point average, y 3.37 3.74 2.75 2.91 2.16 2.06 3.38 2.33 2.97 3.06 2.42 2.32 2.77 3.17 2.95 1480 1410 Send data to calculator V ху 4212.5 5049 2970 3492 2030.4 2245.4 5070 1864 2999.7 3916.8 2395.8 1995.2 2465.3 4691.6 4159.5 Send data to Excel Grade point average Figure 1 3.8- 3.6+ 3.4- 3.2- 3+ 28- 2.6 24+ 2.2. 2. x x 800 900 1000 1100 1200 1300 1400 1500 Standardized test score What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least three decimal places. (If necessary, consult a list of formulas.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 42PFA
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A popular, nationwide standardized test taken by high-school juniors and seniors may or may not measure academic potential, but we can nonetheless examine the relationship between scores on this test and performance in college. We have chosen a random sample of fifteen students just finishing their first year of college, and for each student we've recorded her score on this standardized test (from 400 to 1600) and her grade point average (from 0 to 4) for her first year in college. The data are shown below, with x denoting the score on the standardized test and y denoting the first-year college grade point average. A scatter plot of the data is shown in Figure 1. Also given is the product of the standardized test score and the grade point average for each of the fifteen students. (These products, written in the column labelled "xy", may aid in calculations.) Standardized test score, x 1250 1350 1080 1200 940 1090 1500 Grade point average, y 3.37 3.74 2.75 2.91 2.16 2.06 3.38 800 2.33 1010 2.97 1280 3.06 990 2.42 860 2.32 890 2.77 1480 3.17 1410 2.95 Send data to calculator V xy 4212.5 5049 2970 3492 2030.4 2245.4 5070 1864 2999.7 3916.8 2395.8 1995.2 2465.3 4691.6 4159.5 Send data to Excel Grade point average Figure 1 3.8- 3.6- 3.4- 3.2- 3- 2.8 X X 800 900 1000 1100 1200 1300 1400 1500 Standardized test score What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least three decimal places. (If necessary, consult a list of formulas.)
Transcribed Image Text:A popular, nationwide standardized test taken by high-school juniors and seniors may or may not measure academic potential, but we can nonetheless examine the relationship between scores on this test and performance in college. We have chosen a random sample of fifteen students just finishing their first year of college, and for each student we've recorded her score on this standardized test (from 400 to 1600) and her grade point average (from 0 to 4) for her first year in college. The data are shown below, with x denoting the score on the standardized test and y denoting the first-year college grade point average. A scatter plot of the data is shown in Figure 1. Also given is the product of the standardized test score and the grade point average for each of the fifteen students. (These products, written in the column labelled "xy", may aid in calculations.) Standardized test score, x 1250 1350 1080 1200 940 1090 1500 Grade point average, y 3.37 3.74 2.75 2.91 2.16 2.06 3.38 800 2.33 1010 2.97 1280 3.06 990 2.42 860 2.32 890 2.77 1480 3.17 1410 2.95 Send data to calculator V xy 4212.5 5049 2970 3492 2030.4 2245.4 5070 1864 2999.7 3916.8 2395.8 1995.2 2465.3 4691.6 4159.5 Send data to Excel Grade point average Figure 1 3.8- 3.6- 3.4- 3.2- 3- 2.8 X X 800 900 1000 1100 1200 1300 1400 1500 Standardized test score What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least three decimal places. (If necessary, consult a list of formulas.)
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