3. (20 points total, 5 points each) Com predictors XI and *2. There are 25 subj

Question

3. (20 points total, 5 points each) Com predictors XI and *2. There are 25 subj Consider a study with response variable y and quantitative This means that the degrees of freedom are: Total: 24 Regression: 3 Term Constant x1 x2 x1+x2 Error: 21 Coef SE Coef T-Value p-value - 2441 1327 -1.840 0. OBO 41.53 21.94 1,893 0.072 30.BB 12.66 2.440 0.024 -0.46 0.21 - 2.195 0.040 a. Give the regression model, including an interaction term. Estimate the change in the mean of y, as xy increases by one unit, when x2 = 2. c. Create a 95% confidence interval for $2. d. Perform a hypothesis test at 5% significance level to determine if there is significant interaction between the two predictors. Ho: H.: Test statistic: P-value: Circle the correct conclusion: Do not reject Ho; the interaction is significant Reject Ho: the interaction is significant Do not reject Ho; the interaction is not significant Reject Ho: the interaction is not significant

Explanation / Answer

a) The regression model is Y = -2441 + 41.53x1 + 30.88x2 -0.46x1*x2

b) Given x1 =1 and x2 = 2
The predicted regression model is Y =-2441 + 41.53(1) + 30.88(2) -0.46(1)(2) = -2338.63

c) The 95% confdience interval for beta2 is
(30.88 +/- 2.0796*12.66) = (4.552264,57.20774)

d) H0: There is no interaction between the two predictors
H1: There is interaction between the two predictors
Let the los be alpha 5%
Test statistic = -2.195
P-value =0.040
correct answer: Option (B) Reject H0. the interaction is significant

Related Questions

Navigate

• Browse (All)
• Browse 3
• Subjects

---

---

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