A researcher is studying number of cats in the home, and number of rodents plus crawling insects in the home, daily carbohydrate intake and the next day's first morning Accu-Chek value
After drawing a scatter plot, the researcher develops a multiple regression equation and determines R as .75 and R2 as .5625. What does the calculated value R2 represent? (Select all that apply.)
a. It means the standard error, squared.
b. It is the amount of rodent plus insect count that can be explained by the number of cats.
c. It stands for the standard deviation of the data set y, squared.
d. It estimates shrinking regression.
e. It is the coefficient of determination.
f. It is the explained variance.
ANS: B, E, F
R is defined as the correlation between the actual y values and the predicted y values using the new regression equation. The R2 represents the percentage of variance in y explained by the predictor and is called the coefficient of determination.
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