The data in the following table and accompanying computer output are from a hypothetical study of human body temperature as affected by air temperature and a dietary supplement that is hoped to increase heat tolerance. Body temperatures (in degrees Celsius) were measured for 36 athletes immediately following a standard exercise routine in a room controlled to a fixed air temperature (in degrees Celsius). Each subject had been receiving a steady, fixed dose (in milligrams per kilogram of body weight) of the dietary supplement.
a. Provide an appropriate two-way ANOVA table.
b. Provide F tests of the two main effects and the interaction. Use a = .05. What do you conclude?
c. Define dummy variables, and specify an appropriate multiple regression model corresponding to the analysis done in part (a). {Use dummy variables that have the value €” 1 for Airtemp = 21 and for Dose = 0. Why is this a scientifically sensible choice?)
d. Since both factors are interval-scale variables, specify a corresponding natural-polynomial multiple regression model.

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