Answer Happy

When estimating a multiple linear regression model based on 30 observations, the following results were obtained. [You may find it useful to reference the t table.) Standard Error 127.28 Intercept X1 X2 Coefficients 151.39 11.21 2.39 2.12 2.46 t Stat 1.189 5.288 0.972 p-value 0.245 0.000 0.339 a-1. Choose the hypotheses to determine whether x1 and y are linearly related. OHO: 61 = 0; HA: 81 + 0 О Ho: во : 0; Нд: во > 0 OHO: B = 0; HA: BO + 0 OHO: B1 3 0; HA: 81 > 0 a-2. At the 5% significance level, when determining whether x1 and y are linearly related the decision is to: O Reject Ho Picture x1 and y are linearly related. O Reject Ho Picture x1 and y are not linearly related. O Do not reject Hom Picture we cannot conclude X1 and y are linearly related. b-1. What is the 95% confidence interval for B2? (Negative values should be indicated by a minus sign. Round "ta/2, df" value to 3 decimal places, and final answers to 2 decimal places.) Confidence interval to

b-2. Using this confidence interval, is x2 significant in explaining y? O No, since the interval does not contain zero. O No, since the interval contains zero. O Yes, since the interval does not contain zero. O Yes, since the interval contains zero. C-1. At the 5% significance level, choose the hypotheses to determine if 81 is less than 20. OHO: B1 > 20; HA: 61 < 20 OHO: B1 3 20; HA: B1 > 20 HO: 61 = 20; HA: 61 + 20 C-2. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.) Test statistic C-3. At the 5% significance level, can you conclude that is less than 20? Yes, since the null hypothesis is rejected. Yes, since the null hypothesis is not rejected. O No, since the null hypothesis is not rejected.

C-3. At the 5% significance level, can you conclude that B1 is less than 20? O Yes, since the null hypothesis is rejected. Yes, since the null hypothesis is not rejected. O No, since the null hypothesis is not rejected. O No, since the null hypothesis is rejected.