(c) Interpret the coefficient of determination and comment on the adequacy of the linear model. Approximately % of the variation in is explained by the least-squares regression model. According to the residual plot, the linear model appears to be (Round to one decimal place as needed.)
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For the following data set: (a) Use a TI-84 calculator to compute the coefficient of determination. Round the answer to at least three decimal places. The coefficient of determination is 0.480. Alternate Answer: 0.48 (b) How much of the variation in the outcome variable is explained by the least-squares regression line? Round the answer to at least one decimal place. The percentage of the variation in the outcome variable is explained by the least-squares regression line is %.
Sri K.
Use the results from Problem 27 in Section 4.1 and Problem 19 in Section 4.2 to: (a) Compute the coefficient of determination, $R^{2}$. (b) Construct a residual plot to verify the requirements of the least-squares regression model. (c) Interpret the coefficient of determination and comment on the adequacy of the linear model.
Describing the Relation between Two Variables
Diagnostics on the Least-Squares Regression Line
Calculate the coefficient of determination, given that the linear correlation coefficient, r, is -0.225. What does this tell you about the explained variation and the unexplained variation of the data about the regression line? a. The coefficient of determination(R2) = 0.051. That is, 5.1% of the variation is unexplained and 94.9% of the variation is explained. b. The coefficient of determination(R2) = 0.051. That is, 5.1% of the variation is explained and 94.9% of the variation is unexplained. c. Not enough information is given.
Marc L.
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