Your sample correlation coefficient is not correct. 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 Grade point average, 1000 2.47 2470 1200 2.83 3396 790 2.40 1896 1250 3.26 4075 1000 3.15 3150 1290 3.05 3934.5 860 2.03 1745.8 1390 3.04 4225.6 1090 2.33 2539.7 Grade point average 1360 3.62 4923.2 1500 3.33 4995 1000 1100 1200 1300 1400 1500 1060 2.95 3127 Standardized test score 900 2.82 2538 Figure 1 940 2.20 2068 1510 3.21 4847.1 Send data to calculator A 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.) 0
Your sample correlation coefficient is not correct. 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 Grade point average, 1000 2.47 2470 1200 2.83 3396 790 2.40 1896 1250 3.26 4075 1000 3.15 3150 1290 3.05 3934.5 860 2.03 1745.8 1390 3.04 4225.6 1090 2.33 2539.7 Grade point average 1360 3.62 4923.2 1500 3.33 4995 1000 1100 1200 1300 1400 1500 1060 2.95 3127 Standardized test score 900 2.82 2538 Figure 1 940 2.20 2068 1510 3.21 4847.1 Send data to calculator A 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.) 0
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Question
Transcribed Image Text:Your sample correlation coefficient is not correct.
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
Grade point
average,
1000
2.47
2470
1200
2.83
3396
790
2.40
1896
1250
3.26
4075
1000
3.15
3150
1290
3.05
3934.5
860
2.03
1745.8
1390
3.04
4225.6
1090
2.33
2539.7
Grade point average
1360
3.62
4923.2
1500
3.33
4995
1000 1100 1200 1300 1400 1500
1060
2.95
3127
Standardized test score
900
2.82
2538
Figure 1
940
2.20
2068
1510
3.21
4847.1
Send data to calculator
A
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.)
0
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