2. Below you are given a partial computer output based on a sample of 14 observa

Question

2. Below you are given a partial computer output based on a sample of 14 observations, relating an independent variable (x) and a dependent variable (y).

Predictor Coefficient Standard Error
Constant 6.428 1.202
X 0.470 0.035

Analysis of Variance

SOURCE SS
Regression 958.584
Error (Residual)
Total 1021.429

a. Develop the estimated regression line.
b. At ? = 0.05, test for the significance of the slope.
c. At ? = 0.05, perform an F test.
d. Determine the coefficient of determination.
e. Determine the coefficient of correlation.

Explanation / Answer

Answers: a. Y = 6.428 + 0.47x b. t = 13.529; p-value < .01 so we reject Ho (critical t = 2.179) c. F = 183.04; p-value < .01, reject Ho (critical F = 4.75) d. 0.938 e. sqrt(d)=0.968

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