2. The scatterplot below summarizes husbands' and wives' heights in a random sample of 170 married couples in Britain, where both partners' ages are below 65 years. Summary output of the least squares fit for predicting wife's height from husband's height is also provided in the table. Wife's height (in inches) 70- 8 55 60 65 70 Husband's height (in inches) 75 (Intercept) height.husband Estimate Std. Error 43.5755 0.2863 4.6842 0.0686 t value Pr>D 0.0000 9.30 4.17 0.0000 a) Is there strong evidence that taller men marry taller women? State the hypotheses and include any information used to conduct the test. b) Given that R² = 0.09, what is the correlation of heights in this data set? c) You meet a married man from Britain who is 5'9" (69 inches). What would you predict his wife's height to he? How reliable is this prediction? d) You meet another married Brit who is 6'7" (79 inches). Would it be wise to use the same linear model to predict his wife's height? Why or why not?

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2. The scatterplot below summarizes husbands' and wives' heights in a random sample
of 170 married couples in Britain, where both partners' ages are below 65 years.
Summary output of the least squares fit for predicting wife's height from husband's
height is also provided in the table.
Wife's height (in inches)
70
65
60
55
60
65
70
Husband's height (in inches)
75
(Intercept)
height husband
Estimate Std. Error
43.5755
4.6842
0.2863
0.0686
t value
9.30
4.17
Pr>t)
0.0000
0.0000
Is there strong evidence that taller men marry taller women? State the hypotheses and
include any information used to conduct the test...
b) Given that R² = 0.09, what is the correlation of heights in this data set?
c)
You meet a married man from Britain who is 5'9" (69 inches). What would you
predict his wife's height to he? How reliable is this prediction?
d) You meet another married Brit who is 6'7" (79 inches). Would it be wise to use the
same linear model to predict his wife's height? Why or why not?
Transcribed Image Text:2. The scatterplot below summarizes husbands' and wives' heights in a random sample of 170 married couples in Britain, where both partners' ages are below 65 years. Summary output of the least squares fit for predicting wife's height from husband's height is also provided in the table. Wife's height (in inches) 70 65 60 55 60 65 70 Husband's height (in inches) 75 (Intercept) height husband Estimate Std. Error 43.5755 4.6842 0.2863 0.0686 t value 9.30 4.17 Pr>t) 0.0000 0.0000 Is there strong evidence that taller men marry taller women? State the hypotheses and include any information used to conduct the test... b) Given that R² = 0.09, what is the correlation of heights in this data set? c) You meet a married man from Britain who is 5'9" (69 inches). What would you predict his wife's height to he? How reliable is this prediction? d) You meet another married Brit who is 6'7" (79 inches). Would it be wise to use the same linear model to predict his wife's height? Why or why not?
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