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.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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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