Question

Below you are given a partial computer output based on a sample of 21 observations, relating an independent variable (x) and a dependent variable (y). Coefficient Standard Error 1.181 Intercept 30.139 0.022 X -0.252 Analysis of Variance SOURCE SS Regression 1,759.481 259.186 Error Develop the estimated regression line At a 0.05, perform an F test. Determine the coefficient of determination. a. b. c. d. Determine the coefficient of correlation.

Answer 1

a)Y^ = 30.139 - 0.252*x

b) df1 = 1

df2 = N-k = 21-2 = 19

F stat = (MSR/MSE) = (1759.481/1)/(259.186/19)= 128.98

p value=0.0000

p value <α=0.05

reject Ho

there is evidence that model is significant

c)

R²=SSR/SST = 1759.481/(1759.481+259.186)=0.8716

d) r = √R²=√0.8716 = 0.9336