When Estimating a Multiple Regression Model Based on 30 Observations,the

question 40

Essay

When estimating a multiple regression model based on 30 observations,the following results were obtained. a.Specify the hypotheses to determine whether x₁ is linearly related to y.At the 5% significance level,use the p-value approach to complete the test.Are x₁ andy linearly related?
b.Construct the 95% confidence interval for β₂.Using this confidence interval,is x₂ significant in explaining y? Explain.
c.At the 5% significance level,can you conclude that β₁ differs from −1? Show the relevant steps of the appropriate hypothesis test.