Regression Analysis: Y versus A The regression equation is Y= 67.2-0.0565 X Pred

Question

Regression Analysis: Y versus A The regression equation is Y= 67.2-0.0565 X Predictor Coef Constant 67.231 5.046 13.32 0.000 SE Coef -0.05650 0.01027-5.50 0.000 S= 10.32 R-Sq 62.7% R-Sq (adj) = 60.64 = Analysis of Variance Source Regression Residual Error 18 1918.0 106.6 Total DE SS MS 1 3222.9 3222.9 30.25 0.000 19 5141.0 0.10, why is the t ratio 1.What is the result of the test of the slope of the regression model? alpha negative? 2. The correlation coefficient for these two variables is -.7918. Is this result surprising to you? Why or why not?

Explanation / Answer

a)

p - value of the slope is 0.000 < 0.10. So slope is significant at 0.10 significance level. T ratio is negative because slope coeeficient is negative.

b)

Correlation should be negative as the slope coefficient is negative and it absolute value should be equal to sqrt(R-sqre) = sqrt(0.627) = 0.7918.

So the result is not surprising.

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