Consider the model output below. use it to answer questions 14 – 16.e. regression analysis: avg. tot. score versus avg. salary, %takersmodel summary s r-sq r-sq(adj) r-sq(pred)33.6877 80.56% 79.73% 78.08%coefficientsterm coef se coef t-value p-value vifconstant 987.9 31.9 30.99 0.000avg. salary 2.18 1.03 2.12 0.039 1.61%takers -2.779 0.228 -12.16 0.000 1.61prediction for avg. tot. scorevariable settingavg. salary 40%takers 50 fit se fit 95% ci 95% pi936.181 6.34430 (923.418, 948.945) (867.219, 1005.14)14. under what conditions are the confidence and prediction intervals computed above valid? 15. assuming that the conditions of question 14 are satisfied, which of the following statements is accurate? a. we are 95% confident that a state with an average teacher salary of $40,000 and 50% of eligible students taking the sat will have an ats between 867.219 and 1005.14.b. we are 95% confident that the average ats of all states with an average teacher salary of $40,000 and 50% of eligible students taking the sat will be between 923.418 and 948.945.c. both of the above. d. none of the above