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Explain what regression substitution is.

Read the following description of a data set.Nick accidentally left food in his backyard one night and noticed a cat eating it the next morning. Nick likes helping out the neighborhood cats, so he wonders if putting out more food will result in more cats coming to his backyard.Over the next few nights, Nick leaves out different amounts of food (in grams), x, and notes the number of cats in his backyard the following morning, y.The least squares regression line of this data set is:y=0.004x–0.358Complete the following sentence:If Nick leaves out one additional gram of food at night, the least squares regression line predicts more cats will be in his backyard the next morning.

The regression R2 is: a. possible to decrease when an additional explanatory variable is added. b. R S S divided by T S S. c. a measure of the goodness of fit of your regression line. d. a measure of the causal effect of X on Y.

Among the following options identify the one which is false regarding regression.(1 Point)It is used for the predictionIt is used for interpretationIt relates inputs to outputsNone of these

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