State the names of the dependent (response) variable and the independent (explan

Question

State the names of the dependent (response) variable and the independent (explanatory) variables. b) Fill in the missing entries A, B, C, D, E, F and G. c) State the multiple regression equation. d) State the value of the coefficient of determination, R^2. e) Use the overall F test at the level of significance alpha = 0.01 to determine whether the model contributes significant information for the prediction of y. f) Using parameter estimates, also at alpha = 0.01, what predictor(s) are useful or not useful in the model?

Explanation / Answer

a) Independent variable : x1, x2 and dependent variable = y

b)

For A: 355.22/177.61 = 2

For B: 76.38 / 7 = 10.9114

For C: 355.22 + 76.38 = 431.6

For D: 177.61 / 10.9114 =16.2775

For E: -1.947 * 4.206 = -8.189

For F: 0.2921 / 0.1357 = 2.1525

For G: 4.4343 / 5.54 = 0.8004

c) The multiple regression equation is Y = -8.189 + 0.2921 X1 + 4.4343X2

d) R2 = 0.823

e) F= 16.2775

F-criitcal value 9.546578

Here F value > F critical value, so we reject H0

f)

The p-value of x1 = 0.068 > alpha 0.01, we accept H0 i.e. no significant

The p-value of x1 = 0.001 < alpha 0.01, we reject H0 i.e. significant

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

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