The following regression equation was computed from a sample of 25 observations:

Question

The following regression equation was computed from a sample of 25 observations:

y= 18 -6x, SSE = 200, SS Total = 600

Determine the standard error of estimate.

Determine the coefficient of determination and interpret it.

Determine the coefficient of correlation and interpret it.

Test whether there is a significant relationship between the two variables, using a level of significance of 0.05 and an F-test. Make sure to state the null and alternate hypotheses and the decision rule. Present the ANOVA table.

Explanation / Answer

Answer to question# 1)

The formula of standard error of estimate in Multiple regression is:

SEE = sqrt( SSE / (n-2))

SEE = sqrt(200 / (25-2))

SEE = 2.9488

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