When estimating a multiple linear 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 and y linearly related?
b. What is 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 is less than 20? Show the relevant steps of the appropriate hypothesistest.

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Lower Upper Coefficients Error tStatp-value 95% 95% Intercept2.27119.70 .270.2142 93.34 397.87 2.68 4.81 5.06E-05 7.40 18.41 2.15 1.28 0.21281.67 7.14 Standard 12.91 x2 2.74