Question

14.3.14 Partial ANOVA Consider the following set of ordered pairs, 3 1 4 1 -1 4 6 d.f. MS F 1 Calculate the coefficient of determination and test its significance using a = 0.05. Click the icon to view a partial ANOVA table. Click the icon to view a partial table of critical F-scores with 0.05 in the right tail of the distribution. Regression Error Total ANOVA SS 42.613 2.587 45.2 4 Calculate the coefficient of determination. Print Done R2 = .943 (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: p²zo Hp2 <0 Hop so H:p20 B. He:p2 <0 H:p220 OD. Ho:p>0 Hy:p250 Determine the critical F-score, Fa- Fa- (Round to three decimal places as needed.)

Answer 1

Solution :

Analysis of variance table for regression model:

Source	DF	SS	MS	F-stat	P-value
Model	1	42.613043	42.613043	49.416807	0.0059
Error	3	2.5869565	0.86231884
Total	4	45.2

F_0.05,1,3 = 10.128

Critical F value = 10.128