Please answer all.......6

A prospective MBA student would like to examine the factors that impact starting salary upon graduation and decides to develop a model that uses program per-year tuition as a predictor of starting salary. Data were collected for 37 full-time MBA programs offered at private universities. The data are stored in the accompanying table. The least-squares regression equation for these data is Y, = - 15,373.269 + 2.460X, and the standard error of the estimate is Syx = 16,234.588. Assume that the straight-line model is appropriate and there are no serious violations the assumptions of the least-squares regression model. Complete parts (a) and (b) below. Click the icon to view the data on program per-year tuition and mean starting salary. Tuition vs. Salary a. At the 0.05 level of significance, is there evidence of a linear relationship between the starting salary upon graduation and program per-year tuition? Determine the hypotheses for the test. Program Per-Fear mean biarung salary Tuition ($) Upon Graduation ($) 64,165 156.524 68,730 154,067 65,522 146,295 (Type integers or decimals. Do not round.) 66,812 145,699 66,168 144,534 Compute the test statistic. 67,617 154,850 67,308 146.547 The test statistic is tSTAT = 67,972 151,160 64,296 137,037 (Round to two decimal places as needed.) 63,291 143,266 66,119 147,903 Find the p-value. 61,597 145,422 The p-value is 62.922 138,967 67,290 136,016 (Round to three decimal places as needed.) 56.075 127,325 56,878 117,070 Reach a decision. 54,559 128,630 61,608 128,145 Ho. There is evidence to conclude that there is a linear relationship between the starting salary upon graduation and program per-year tuition 52.656 132,856 50,283 125.277 b. Construct a 95% confidence interval estimate of the population slope, Py 45,142 112,656 47,177 107,228 The confidence interval is SP, s ]. 49,429 113.851 47,311 110,160 (Round to three decimal places as needed.) 37,151 80.273 47,336 81,892 47,562 104,081 Enter your answer in each of the answer boxes. 51,319 77,459 MacBook Air