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Question 1 - The ambient temperature (X1) and number of work days in a month (X2) are thought to affect the amount of electrical power (Y) used at a particular plant. The data are: Using an  = .05, model the power using a multiple linear regression model and information from this Excel output: a. Show the model you develop using the estimates for the i values. b. What is the value of the residual for point 2? c. What is the 95% CI on 2 ? Question 2 - An article in Psychology looked at a certain type of intelligence scores of identical twins to see if there was a difference in intelligence (or not) depending upon whether the twin was born first or second. The following table shows the scores for each set of twins in the study: Show any hypotheses you do, all your computations and clearly state the conclusion. Use  = .05 Question 3 - Consider this statement: The p-value of a hypothesis test is 1 –  True or False? Point Y X1 X2 1 310 84 31 2 296 80 27 3 276 60 25 4 260 56 20 Twins First Second 1 6.48 6.43 2 7.99 8.76 3 6.32 6.32 4 7.60 7.62 5 6.03 6.59 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 165.2712456 1.111795037 148.6526205 0.004283 151.1446 179.3979 151.1446 179.3979 X Variable 1 0.736030268 0.032276152 22.80415208 0.027899 0.325923 1.146138 0.325923 1.146138 X Variable 2 2.668218859 0.099136991 26.91446278 0.023643 1.408564 3.927874 1.408564 3.927874

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