The following is the ANOVA summary table for a multiple regression model with tw

Question

The following is the ANOVA summary table for a multiple regression model with two independent variables Xl and X2: Source Degof
Freedom Sum of
Square Mean
Squares F Regression
Error 2
18 60 Total 20 180 If SSR(Xl) = 45 and SSR(X2) = 25 Determine whether there is a significant relationship between Y and each of the independent variables. At a 0.05 level of significance. The following is the ANOVA summary table for a multiple regression model with two independent variables Xl and X2: Source Degof
Freedom Sum of
Square Mean
Squares F Regression
Error 2
18 60 Total 20 180 If SSR(Xl) = 45 and SSR(X2) = 25 Determine whether there is a significant relationship between Y and each of the independent variables. At a 0.05 level of significance.

Explanation / Answer

Solution.

Source                  Degree of freedom            SS                       MS                       F

Regression                         2                             60                        30                      4.50

Error                                   18                           120                       6.667

Total                                    20                           180

Since the degree of freedom in numerator df(N)=2    and df(D)=18,

              p-value=P(F>4.50)=0.026

Since the p-value is less than alpha=0.05, the null hypothesis Ho was rejected. So, we conclude that there is a significant linear relationship between the variables..

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.