What is the value of the yintercent of the least-squares regression line for these data? Round your answer to at least four decimal places. What is the value of the sample correlation.coefficient for these n data? Round your answer to at least three decimal places.

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O REGRESSION AND CORRELATION
Computing the sample correlation.
OD OOD
Shasia
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 9
standardized test (from 400 to 1600) and her grade point average (from o 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.
Standardized
Grade point
average, y
test score, x
840
2.26
910
2.81
1310
3.24
34
1070
2.92
12
1490
3.08
1110
2.19
2
1480
3.56
2
1260
3.13
24
990
2.30
22
1340
3.54
1190
2.75
1010
3.08
1410
3.05
800
2.45
Figure 1
940
2.31
Send data to Excel
The least-squares regression line for these data has a slope of
approximately 0.0015.
Answer the following. Carry your intermediate computations to at least four
decimal places, and round your answers as specified below. (If necessary,
consult a list of formulas.)
What is the value of the y-intercept of the least-squares
regression line for these data? Round your answer to at least O
four decimal places.
What is the value of the sample correlation.coefficient for these
data? Round your answer to at least three decimal places.
Explanation
Check
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I Accessibi
Transcribed Image Text:2:31 AA www-awn.aleks.com O REGRESSION AND CORRELATION Computing the sample correlation. OD OOD Shasia 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 9 standardized test (from 400 to 1600) and her grade point average (from o 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. Standardized Grade point average, y test score, x 840 2.26 910 2.81 1310 3.24 34 1070 2.92 12 1490 3.08 1110 2.19 2 1480 3.56 2 1260 3.13 24 990 2.30 22 1340 3.54 1190 2.75 1010 3.08 1410 3.05 800 2.45 Figure 1 940 2.31 Send data to Excel The least-squares regression line for these data has a slope of approximately 0.0015. Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below. (If necessary, consult a list of formulas.) What is the value of the y-intercept of the least-squares regression line for these data? Round your answer to at least O four decimal places. What is the value of the sample correlation.coefficient for these data? Round your answer to at least three decimal places. Explanation Check O 2021 McGraw-HI Education. All Rights Reserved. Terms of Use Privacy I Accessibi
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