In: Statistics and Probability
Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations. Coefficients Standard Error Constant 12.924 4.425 x1 -3.682 2.630 x2 45.216 12.560 Analysis of Variance Source of Variation Degrees of Freedom Sum of Squares Mean Square F Regression 4853 2426.5 Error 485.3 Carry out the test of significance for the variable x1 at the 1% level. The null hypothesis should be options: be tested for β₃ instead. be rejected. be revised to test using F statistic. not be rejected.
For F-test:
Hypothesis:
The p-value for the F-test is 0.000 and less than 0.01 level of significance. Hence, we can conclude that at least one predictor has a significant effect on the model.