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Breakfast cereal: ASSESS/USE. The regression model in Exercise 3.6 was fit to a sample of 36...

Breakfast cereal: ASSESS/USE. The regression model in Exercise 3.6 was fit to a sample of 36 breakfast cereals with calories per serving as the response variable. The two predictors were grams of sugar per serving and grams of fiber per serving. The partition of the sums of squares for this model is

SSTotal=SSModel+SSE

17190=9350+7840

  1. Calculate R2 for this model and interpret the value in the context of this setting.

  2. Calculate the regression standard error of this multiple regression model.

  3. Calculate the F-ratio for testing the null hypothesis that neither sugar nor fiber is related to the calorie content of cereals.

  4. Assuming the regression conditions hold, the P-value for the F-ratio in (c) is about 0.000002. Interpret what this tells you about the variables in this situation.

math   Statistics-And-Probability   
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