Question

36 196 36 676 576 1520 3.6 110 120 0.6 60.36 5.76 12.96 2.56 11.56 33.2 7 100 2.4 21.6 41.6 81.6 182 13 1203.6 11 140 .6 26 24 6 90 -3.4 47 570 0 Sum Average 9.4 114 1. What is the slope for the linear regression equation? 2. What are the assumptions about the error term e in the regression model? P-value t Stat CoefficientsError 8.266666667 0.969014912 8.53100047 2.74E-05 1.060606061 0.156170894 Intercept X Variable 1 3. Manually find the T-test statistic for testing Ha: Bi#0 in the above table. At α-0.05, find the critical value (the Table value) for testing Ha: ßlto above. 4. Find the p-value for testing Ha: ß:#0 above. 5. What is the conclusion on testing Ha: β1t0 above? Explain why or no credit will be given. 6. 7. What is the F-test about in the ANOVA table for a multiple regression model y β1X1 + β2X2 + β3x3 + ε?(Hint: įs it about Ha: β:#0?) Bo+

Answer 1

Q1) The slope for linear regression equation is 1.060606061.

Q2) The assumption of linear regression are given below

a) The error term is a random real number.

b) The mean value of error term is zero.

c) The variance of error term is constant.

d) Error term follows normal distribution with mean zero and standard deviation $\sigma$.

e) The error term of different observation are independent E(Xi,Xj)=0.

Q3) Since t.test is calculated as fellow.

31 S.E B1)

1.060606061 0.156170894

に679 1317

Q4) The tabulated value for t = 1.96.

Q5) The P.Value = 0.000.

Q6) Since calculated P.Value = 0.000 which is less then 0.05 hence we will reject our null hypothesis and concludes that
31メ0
.

Q7) The F.test is used to test whether the over all multiple regression model is valid or not.