When estimating a multiple linear regression model based on 30 observations, the

Question

When estimating a multiple linear regression model based on 30 observations, the following results were obtained. Use Table 2. Choose the hypotheses to determine whether x_1 and y_1 are linearly related. H_0: beta_1 lessthanorequalto 0; H_A; beta_1 > 0 H_0: beta_0 lessthanorequalto 0; H_A: beta_0 > 0 H_0: beta_1 = 0; H_A: beta_1 notequalto 0 H_0: beta_0 = 0; H_A: beta_0 notequalto 0 At the 5% significance level, use the p-value approach to determine if x and y linearly related. Reject H_0: x_1 and y are linearly related. Reject H_0: x_1 and y are not linearly related. Do not reject H_0; we cannot conclude x_1 and y are linearly related. What is the 95% confidence interval for beta_2? (Negative values should be indicated by a minus sign. Round value to 3 decimal places, and final answers to 2 decimal places.) Confidence interval _____________ to ___________ Using this confidence interval, is x_2 significant in explaining y? No, since the interval contains zero. No, since the interval does not contain zero. Yes, since the interval does not contain zero. Yes, since the interval contains zero. At the 5% significance level, choose the hypotheses to determine if beta_1 is less than 20. H_0: beta_1 lessthanorequalto 20; H_A: beta_1 > 20 H_0:beta_1 = 20; H_A: beta_1 notequalto 20 H_0: beta_1 greaterthanorequalto 20; H_A: beta_1

Explanation / Answer

a-1) c) ho: beta1 = 0; ha: beta1 =/= 0 a-2) a) reject ho; x and y are linearly related b-1) lower =2.35-ABS(T.INV.2T(0.05,30-2))*2.96 -3.71329 upper =2.35+ABS(T.INV.2T(0.05,30-2))*2.96 8.413285 b-2) d) yes since, interval contains zero

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