Question

Consider the following regression results based on 20 observations. [You may find it useful to reference the t table.] Coefficients Standard Error t Stat p-value Intercept 33.1308 4.4008 7.528 0.000 x1 0.2906 0.1944 1.495 0.152 a-1. Choose the hypotheses to determine if the intercept differs from zero. H0: β0 = 0; HA: β0 ≠ 0 H0: β0 ≥ 0; HA: β0 < 0 H0: β0 ≤ 0; HA: β0 > 0 a-2. At the 5% significance level, what is the conclusion to the hypothesis test? Does the intercept differ from zero? Reject H0; the intercept is greater than zero. Reject H0; the intercept differs from zero. Do not reject H0; the intercept is greater than zero. Do not reject H0; the intercept differs from zero. b-1. Construct the 95% confidence interval for the slope coefficient. (Negative values should be indicated by a minus sign. Round "tα/2,df" value to 3 decimal places and final answers to 2 decimal places.) b-2. At the 5% significance level, can we conclude the slope differs from zero? Yes, since the interval contains zero. Yes, since the interval does not contain zero. No, since the interval contains zero. No, since the interval does not contain zero.

Answer 1