Consider data on heights of husbands and wives for a sample of 199 married couples in the UK collected by the Great Britain Office of Population Census and Surveys.[1] The scatter plot below shows wife height plotted against husband height and the least-squares regression line is shown in red. The equation of the regression line is: WÊin = 40.49 +0.33H Hin where WHin is the wife's height and HHin is the husband's height. Both are measured in inches. 7 65 Wife's Height (inches) 60 55 60 65 70 Husband's Height (inches) 75 Now consider a new variable for husband height measured in centimeters called HHcm. Because there are 2.54 cm per inch, this variable is defined as HHcm = 2.54* HHin. Suppose we use the exact same sample, but instead estimate a regression line with husband height in centimeters while wife height is still measured in inches: WHin = a + bHHcm What is the value of a in the new regressio line equation? (round to 2 decimal places)
Consider data on heights of husbands and wives for a sample of 199 married couples in the UK collected by the Great Britain Office of Population Census and Surveys.[1] The scatter plot below shows wife height plotted against husband height and the least-squares regression line is shown in red. The equation of the regression line is: WÊin = 40.49 +0.33H Hin where WHin is the wife's height and HHin is the husband's height. Both are measured in inches. 7 65 Wife's Height (inches) 60 55 60 65 70 Husband's Height (inches) 75 Now consider a new variable for husband height measured in centimeters called HHcm. Because there are 2.54 cm per inch, this variable is defined as HHcm = 2.54* HHin. Suppose we use the exact same sample, but instead estimate a regression line with husband height in centimeters while wife height is still measured in inches: WHin = a + bHHcm What is the value of a in the new regressio line equation? (round to 2 decimal places)
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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![Consider data on heights of husbands and wives for a sample of 199 married couples in the UK
collected by the Great Britain Office of Population Census and Surveys.[1] The scatter plot below
shows wife height plotted against husband height and the least-squares regression line is shown in
red. The equation of the regression line is:
WÊin = 40.49 +0.33H Hin
where W Hin is the wife's height and HHin is the husband's height. Both are measured in
inches.
ta
65
Wife's Height (inches)
60
55
60
65
70
Husband's Height (inches)
-
75
Now consider a new variable for husband height measured in centimeters called HHcm. Because
there are 2.54 cm per inch, this variable is defined as HHcm = 2.54* HHin. Suppose we use
the exact same sample, but instead estimate a regression line with husband height in centimeters
while wife height is still measured in inches:
WHin = a + bHHcm
What is the value of a in the new regression
line equation? (round to 2 decimal places)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f08d3cb-03f2-44ac-afec-90ed33ecc605%2Faf07a984-9322-4c27-a71b-a01a5c81eb49%2Fch7ad9l_processed.png&w=3840&q=75)
Transcribed Image Text:Consider data on heights of husbands and wives for a sample of 199 married couples in the UK
collected by the Great Britain Office of Population Census and Surveys.[1] The scatter plot below
shows wife height plotted against husband height and the least-squares regression line is shown in
red. The equation of the regression line is:
WÊin = 40.49 +0.33H Hin
where W Hin is the wife's height and HHin is the husband's height. Both are measured in
inches.
ta
65
Wife's Height (inches)
60
55
60
65
70
Husband's Height (inches)
-
75
Now consider a new variable for husband height measured in centimeters called HHcm. Because
there are 2.54 cm per inch, this variable is defined as HHcm = 2.54* HHin. Suppose we use
the exact same sample, but instead estimate a regression line with husband height in centimeters
while wife height is still measured in inches:
WHin = a + bHHcm
What is the value of a in the new regression
line equation? (round to 2 decimal places)
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