Describe how you evaluate a multiple regression equation (ANOVA, multiple standard error of the estimate, coefficient of multiple determination, adjusted coefficient of determination.
describe the difference between coefficient of multiple determination and adjusted coefficient of multiple determination and provide an example where adjusted R2 is necessary?
describe the difference between coefficient of multiple determination and adjusted coefficient of multiple determination and provide an example (simple example) where adjusted R2 is necessary?
2. Multiple coefficient of determination Aa Aa Macroeconomics is the study of the economy as a whole. A macroeconomic variable is one that measures a characteristic of the whole economy or one of its large-scale sectors. In forecasting the sales of a product, market researchers frequently use macroeconomic variables in addition to marketing mix variables (marketing mix variables include product, price, place [or distribution], and promotion) A market researcher is analyzing an existing multiple regression model that predicts sales for...
The ANOVA summary table to the right is for a multiple regression model with nine independent variables. Complete parts (a) through (e) Degrees of Source Freedom Squares Sum of Regression Error Total 260 180 440 19 28 5909 (Round to four decimal places as needed.) Interpret the meaning of the coefficient of multiple determination The coefficient of multiple determination indicates that 59.09% of the variation in the dependent variable can be explained by the variation in the independent variables e....
5- Interpret the coefficient of determination (R-squared) and the F test. SUMMARY OUTPUT Regression Statistics Multiple R 0.8811 R Square 0.7764 Adjusted R Square 0.7205 Standard Error 14.7724 Observations 16 ANOVA df SS MS F Regression 3 9091.7392 3030.5797 13.8874 Residual 12 2618.7008 218.2251 Total 15 11710.44 Coefficients Standard Error t Stat P-value Intercept 29.1385 174.7427 0.1668 0.8703 PFH -2.1236 0.3405 -6.2361 0.0000 PR 1.0345 0.4667 2.2164 0.0467 M 3.0871 0.9993 3.0892 0.0094
2. Multiple coefficient of determination Macroeconomics is the study of the economy as a whole. A macroeconomic variable is one that measures a characteristic of the whole economy or one of its large-scale sectors. In forecasting the sales of a product, market researchers frequently use macroeconomic variables in addition to marketing mix variables (marketing mix variables include product, price, place [or distribution], and promotion). A market researcher is analyzing an existing multiple regression model that predicts sales for different brands...
Suppose you estimate a multiple regression model using OLS and the coefficient of determination is very high (above 0.8), while none of the estimated coefficients are (individually) statistically different from zero at the 5-percent level of significance. The most likely reason for this result is: multicollinearity. spurious regression. omitted variable bias. serial correlation.
Using the output below, what is the coefficient of determination SUMMARY OUTPUT Regression Statistics Multiple R 0.9236 0.8530 R Square Adjusted R Square Standard Error 0.8346 4.3790 Observations 10 Coefficients 29.73333 3.284848 Standard Error 2.991435587 Intercept Factory Options 0.482113498 0.8530 0.4821 29.73 O 0.9236 O 328 • Previous Next
Given the following ANOVA table: Source Regression Error Total F 24.00 DF 1 12 13 SS 1,050.0 525.0 1,575.0 MS 1,050.00 43.75 a. Determine the coefficient of determination. (Round your answer to 3 decimal places.) Coefficient of determination c. Determine the standard error of estimate. (Round your answer to 2 decimal places.) Standard error of estimate
On the first statistics exam, the coefficient of determination between the hours studied and the grade earned was 82%. The standard error of estimate was 13. There were 28 students in the class. Develop an ANOVA table for the regression analysis of hours studied as a predictor of the grade earned on the first statistics exam. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.) Source DF SS MS Regression...