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 Wife's Height (inches) 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 How tall does a husband have to be in inches? Use the original regression equation provided for the regressi to predict that his wife will be the same height. (Round to the nearest whole number)
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 Wife's Height (inches) 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 How tall does a husband have to be in inches? Use the original regression equation provided for the regressi to predict that his wife will be the same height. (Round to the nearest whole number)
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 2ECP
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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.
R
65
Wife's Height (inches)
60
65
70
Husband's Height (inches)
75
O
Now consider a new variable for husband height measured 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
How tall does a husband have to be in inches? Use the
original regression equation provided for the regression
to predict that his wife will be the same height.
(Round to the nearest whole number)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f08d3cb-03f2-44ac-afec-90ed33ecc605%2Ffbc93b0c-91c7-44cc-b12c-4ef24511e987%2Fd5voojg_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.
R
65
Wife's Height (inches)
60
65
70
Husband's Height (inches)
75
O
Now consider a new variable for husband height measured 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
How tall does a husband have to be in inches? Use the
original regression equation provided for the regression
to predict that his wife will be the same height.
(Round to the nearest whole number)
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