A construction science researcher is interested in evaluating the relationship between energy consumption by the homeowner and the difference between the internal and external temperatures. There were 30 homes used in the study. During an extended period of time, the average temperature difference (in ° F) inside and outside the homes was recorded. The average energy consumption was also recorded for each home. The data are given here with y = energy consumption and x = mean temperature difference. Plot the data and suggest a polynomial model between y and x.
Answer to relevant QuestionsRefer to the data of Exercise 13.34. a. Fit a cubic model y = β0 + β1x + β2x2 + β3x3 + ɛ. b. Test for lack of fit of the model at the α = .05 level. c. Evaluate the normality and constant variance assumptions. In ...Refer to Exercise 13.3. Use the output from a stepwise regression software program to determine which explanatory variables should be included in the model. Compare the results of your conclusions from the stepwise program ...Refer to Example 13.1. a. Use a variable selection procedure to determine a model for this study. b. Do the model conditions appear to be valid for the model constructed in part (a)? Justify your answer. c. Use your fitted ...A soil scientist wants to relate the daily evaporation from the soil to air temperature, relative humidity, and wind speed. The scientist collects data at a number of locations in Texas on the variables maximum, minimum, and ...Refer to Exercise 13.58. In another study involving the same 22 properties, PRICE was regressed on a single independent variable, LIST, which was the listing price of the property in thousands of dollars. a. Fit a regression ...
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