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. Standardized test Grade point average, y Score, x 1180 2.92 1060 2.87 1250 3.16 3.8- 36 990 3.06 3.4 1280 2.86 324 790 2.30 2.8 1110 2.23 264 1520 3.41 2.4+ 990 2.43 22 24 1480 3.17 930 2.21 s00 900 1000 1100 1200 1300 1400 1s00 1360 3.70 Standardized test score 850 2.43 Figure 1 890 2.73 1400 2.94 Grade point average

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Question #28
1480
3.17
930
2.21
1360
800 900 1000 1100 1200 13ỏo 1400 1500
3.70
850
2.43
Standardized test score
Figure 1
890
2.73
1400
2.94
Send data to calculator
Send data to Excel
The value of the sample correlation coefficient r for these data is approximately 0.752.
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.)
(a) What is the value of the slope of the least-squares regression line for these data?
Round your answer to at least four decimal places.
(b) What is the value of the y-intercept of the least-squares regression line for these data?
Round your answer to at least four decimal places.
Transcribed Image Text:1480 3.17 930 2.21 1360 800 900 1000 1100 1200 13ỏo 1400 1500 3.70 850 2.43 Standardized test score Figure 1 890 2.73 1400 2.94 Send data to calculator Send data to Excel The value of the sample correlation coefficient r for these data is approximately 0.752. 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.) (a) What is the value of the slope of the least-squares regression line for these data? Round your answer to at least four decimal places. (b) What is the value of the y-intercept of the least-squares regression line for these data? Round your answer to at least four decimal places.
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
00
standardized test and y denoting the first-year college grade point average. A scatter plot of the data is shown in Figure 1.
國
Standardized test
Grade point average, y
score, x
1180
2.92
1060
2.87
1250
3.16
3.8-
3.64
990
3.06
3.4
1280
2.86
3.24
790
2.30
2.8
1110
2.23
2.6
1520
3.41
2.4
990
2.43
22
1480
3.17
1.8-
930
2.21
800 900 1000 1100 1200 1300 1400 1500
1360
3.70
Standardized test score
850
2.43
Figure 1
890
2.73
2.94
1400
Send data to calculator
Send data to Excel
thoco data is approximately 0 752.
Grade point average
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 00 standardized test and y denoting the first-year college grade point average. A scatter plot of the data is shown in Figure 1. 國 Standardized test Grade point average, y score, x 1180 2.92 1060 2.87 1250 3.16 3.8- 3.64 990 3.06 3.4 1280 2.86 3.24 790 2.30 2.8 1110 2.23 2.6 1520 3.41 2.4 990 2.43 22 1480 3.17 1.8- 930 2.21 800 900 1000 1100 1200 1300 1400 1500 1360 3.70 Standardized test score 850 2.43 Figure 1 890 2.73 2.94 1400 Send data to calculator Send data to Excel thoco data is approximately 0 752. Grade point average
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