A statistics class has assignments, two term tests and a final exam. The instruc

Question

A statistics class has assignments, two term tests and a final exam. The instructor wished to see how well the final exam mark was related to the assignment and term test marks so used least squares to fit a linear regre parameter estimates table ssion model to the marks for 20 students in the class. Here is the resulting Standard Parameter Estimate Variable DF Error t Value P > Itl Intercept test1 test2 assn -11.87286 0.50015 0.55284 0.20775 8.17407 0.08800 0.13449 0.12309 5.68 4.11 1.69 0.1657

Explanation / Answer

Here the ANOVA table is

Here the hypothesis testing.

H0 : 0 = 1 = 2 =3 = 0

Ha : any one of the is not equal to zero.

so here F - value = 66.01426

and F(critical) = F0.05,3,16 = 3.2388

p - value = 3.1446 x 10-6

so here F > F(critical) so we shall reject the null hypothesis and can conclude that the model is significant overall.

ANOVA df SS MS F Significance F Regression 3 2314.13 771.3767 66.01426 3.14463E-09 Residual 16 186.96 11.685 Total 19 2501.09

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