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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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