see images

Consider the following data for a dependent variable y and two independent variables, @1 and 2. C1 C2 y 30 13 95 46 10 108 24 18 112 50 16 178 41 6 94 51 19 175 74 8 170 37 12 118 59 14 143 76 16 212 The estimated regression equation for these data is y = -26.33 + 2.051 + 5.0612 Here SST = 15,192.5, SSR = 13,986.2, s = 0.2558, and shy = 1.0316. a. Test for a significant relationship among 1, 2, and y. Use a = 0.05. F = (to 2 decimals) The p-value is - Select your answer - At o = 0.05, the overall model is - Select your answer - V b. Is 81 significant? Use a = 0.05 (to 2 decimals). Use t table.The estimated regression equation for these data is g = -26.33 + 2.05x1 + 5.06:2 Here SST = 15,192.5, SSR = 13,986.2, so = 0.2558, and Sby = 1.0316. a. Test for a significant relationship among @1, 2, and y. Use a = 0.05. F = (to 2 decimals) The p-value is - Select your answer - v At o = 0.05, the overall model is - Select your answer - V b. Is 81 significant? Use a = 0.05 (to 2 decimals). Use t table. to The p-value is - Select your answer - At a = 0.05, 81 - Select your answer - v significant. c. Is 82 significant? Use a = 0.05 (to 2 decimals). Use t table. The p-value is - Select your answer - v At a = 0.05, 82 - Select your answer - v significant.TABLE 2 DISTRIBUTION Arca or probability Entries in the table give f values for an area or probability in the upper tail of the r distribution. For example, with 10 degrees of freedom and a .05 area in the upper tail, 0 05 - 1.812. Degrees Area in Upper Tail of Freedom .20 -10 05 .025 01 .005 1.376 3.078 6.314 1.061 12.706 1.886 31.821 2.920 63.656 4.303 6.965 .978 1.638 2.353 9.925 3.182 4.541 941 1.533 2.132 5.841 2.776 3.747 4.604 920 1.476 2.015 2.571 .906 1.440 3.365 1.943 4.032 2.447 896 3.143 1.415 1.895 3.707 2.365 2.998 3.499 889 1.397 1.860 883 1.383 2.306 1.833 2.896 2.262 3.355 2.821 3.250 10 879 1.372 1.812 876 2.228 1.363 2.764 1.796 2.201 3.169 873 2.718 1.356 1.782 3.106 2.179 .870 1.350 2.681 1.771 3.055 2.160 .868 1.345 2.650 1.761 3.012 2.145 2.624 2.977 15 866 16 1.341 1.753 .865 2.131 17 1.337 2.602 1.746 2.947 .863 1.333 2.120 18 1.740 2.583 2.110 2.921 .862 2.567 1.330 1.734 2.898 19 2.101 .861 2.552 1.328 1.729 2.878 2.093 2.539 2.861\f\f