The regression equation is Weight 212 194 Height Predictor

The regression equation is: Weight = 21.2 + 1.94 Height Predictor Coef SE Coef T P Constant 21.19 22.05 0.96 0.338 Height 1.9419 0.3247 5.98 0.000 S = 28.6963 R-Sq = 13.8% From the regression output, what is the value of the correlation between Height and Weight?

Solution

The regression equation is: Weight = 21.2 + 1.94Height

Predictor Coef SE Coef T P

Constant 21.19 22.05 0.96 0.338

Height 1.9419 0.3247 5.98 0.000

S = 28.6963 R-Sq = 13.8%

From the regression output, what is the value of the correlation between Height and Weight?

Regression coefficient 1.94 is positive, therefore correlation is positive.

R-Sq = 13.8%    or R² = 0.138

r=sqrt(0.138) =0.3715

Answer: r = 0.3715