3. Show manual computation. Refer to the table below. x2 y2 Statistics (x) Calculus (y) xy 30 28 22 32 27 30 27 33 29 30 27 28 27 32 27 32 22 25 28 32 21 25 21 30 28 32 20 26 29 30 a) What is the correlation coefficient? Interpret the result. b.) What is the best fit line that best describes the above data? c.) Using the regression line at (b), what would be the score of a student in calculus if the student got 19 in statistics?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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3. Show manual computation. Refer to the table below.
Calculus (y)
y2
Statistics (x)
ху
30
28
22
32
27
30
27
33
29
30
27
28
27
32
27
32
22
25
28
32
21
25
21
30
28
32
20
26
29
30
a) What is the correlation coefficient? Interpret the result.
b.) What is the best fit line that
best describes the above data?
c.) Using the regression line at
(b), what would be the score of a
student in calculus if the student
got 19 in statistics?
d.) Using the regression line at
(b), what would be the score of a
student in statistics if the score
in calculus is 23?
Transcribed Image Text:3. Show manual computation. Refer to the table below. Calculus (y) y2 Statistics (x) ху 30 28 22 32 27 30 27 33 29 30 27 28 27 32 27 32 22 25 28 32 21 25 21 30 28 32 20 26 29 30 a) What is the correlation coefficient? Interpret the result. b.) What is the best fit line that best describes the above data? c.) Using the regression line at (b), what would be the score of a student in calculus if the student got 19 in statistics? d.) Using the regression line at (b), what would be the score of a student in statistics if the score in calculus is 23?
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