Astudy was conducted to monitor the emissions of a noxious substance from a chemical plant and the concentration of the chemical at a location in close proximity to the plant at various times throughout the year.
a total of 14 measurements were made. computer output for the simple linear regression least-squares fit is provided. (some entries have been omitted and replaced with **.)linear fitconcentration = 1.5429211 + 1.8247687 emissionssummary of fitrsquare 0.793919rsquare adj 0.776745root mean square error 1.513979mean of response 8.810714observations (or sum wgts) 14analysis of variancesource df sum of squares mean square fratiomodel 1 105.96390 105.9639 46.2294error 12 27.50559 2.29 prob > fc. total 13 133.46949 < .0001parameter estimatesterm estimate std error t ratio prob> |t|intercept 1.5429211 1.142937 0.2019emissions 1.8247687 0.268379 < .0001

a) calculate the 95% confidence interval for slope coefficient b1b) do the hypothesis test h0: b1 =0 against ha: b1 ? 0. (state the null and alternative hypothesis, test statistics, p-value and conclusion, also provide the meaning of this conclusion.)