Question
Researchers pose the question: Can pant size be predicted from a man's height? A random sample of 20 males and their pant size versus height
Researchers pose the question: Can pant size be predicted from a man's height? A random sample of 20 males and their pant size versus height (in inches) gives the regression results shown in the table.
Predictor Coeff SE Coeff t Ratio p-Value
Constant 1.593 1.422 1.12 0.285
Height 0.035881 0.0048896 7.33 0.077
S = 1.27515 R-Sq. = 81.7% R-Sq. (adj) = 80.2%
Is there statistical evidence of a linear relationship between pant size and height? (4 points)
Yes, there is evidence at the 10% significance level, but not at the 5% level
No, because r2, the coefficient of determination, is too small
No, because 0.285 is above any reasonable significance level
Yes, because, by any reasonable observation, taller women tend to have a larger shoe size
Yes, because the slope is positive
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