For the data given, assume a model of the form: E(y) = 0 + 1 x 1 + 2 x 2 A. Dete
ID: 3392020 • Letter: F
Question
For the data given, assume a model of the form:
E(y) = 0 + 1x1 + 2x2
A. Determine the least-squares multiple regression line.
B. What is the estimate of the standard deviation of the random error component () for this model and data?
C. Do you conclude that y increases with x1? Report the observed significance level and reach a conclusion using alpha = 0.05.
D. Find and interpret a 95% confidence interval for 2.
E. Test the overall adequacy of the model using alpha = 0.05.
Y X1 X2 784.8257 68 35 832.2564 74 58 457.274 29 1 622.3054 66 7 1068.034 92 92 1013.204 96 86 975.2825 59 96 707.0658 21 49 990.8516 96 92 857.9062 22 91 1045.494 92 73 421.9679 22 7 899.7724 51 97 1011.525 78 89 857.4823 57 74 574.037 2 35 577.6635 48 13 845.1017 32 66 863.1371 53 70 512.2653 48 3 1009.984 77 77 890.2632 57 55 948.3247 41 89 534.5611 6 26 460.8648 40 16 956.7324 42 97 468.6994 15 13 980.1208 94 69 459.821 3 16 724.015 28 49 686.9348 74 18 688.8944 27 38 796.2529 6 77 787.348 34 48 636.1797 60 24 597.4661 63 1 518.3151 50 10 703.3804 49 31 561.2966 21 25 484.9851 36 17 604.0478 6 31 821.5822 11 72 781.0709 36 70 457.4413 1 6 809.7184 93 40 715.6285 57 36 709.3787 46 31 931.6842 83 68 984.7514 15 98Explanation / Answer
For the data given, assume a model of the form: E(y) = 0 + 1 x 1 + 2 x 2 A. Dete