The doctor plans to run a left-tailed t - test for no linear relationship, set at a significance level of α = 0.05 . the standard error of the slope, se b 1 , is 0.81814. she performs model diagnostics and observes that the normal probability plot is linear and the residual plot has a random pattern.

compute the t - statistic for the test. provide your answer with precision to three decimal places. avoid rounding until the final step. compute the degrees of freedom for the t - statistic. select the appropriate null hypothesis statement, h 0 , and alternative hypothesis statement, h 1 , for the doctor's hypothesis test for no linear relationship.