SUMMARY OUTPUT | ||||||||
Dependent | X variable: all other variables | |||||||
Regression Statistics | Independent | Y variable: oil usage | ||||||
Multiple R | 0.885464 | |||||||
R Square | 0.784046 | variation | ||||||
Adjusted R Square | 0.76605 | |||||||
Standard Error | 85.4675 | |||||||
Observations | 40 | |||||||
ANOVA | ||||||||
df | SS | MS | F | Significance F | ||||
Regression | 3 | 954738.9 | 318246.3089 | 43.56737 | 4.55E-12 | |||
Residual | 36 | 262969 | 7304.693706 | |||||
Total | 39 | 1217708 | ||||||
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | |
Intercept | -218.31 | 63.95851 | -3.413304572 | 0.001602 | -348.024 | -88.596 | -348.024 | -88.596 |
Degree Days | 0.275079 | 0.036333 | 7.571119093 | 5.94E-09 | 0.201393 | 0.348765 | 0.201393 | 0.348765 |
Home Index | 86.98875 | 9.630435 | 9.032691554 | 8.75E-11 | 67.45732 | 106.5202 | 67.45732 | 106.5202 |
Number People | 5.26724 | 10.56179 | 0.498706879 | 0.62102 | -16.1531 | 26.68755 | -16.1531 | 26.68755 |
[10] The multiple regression model suggests that about 78% of the variation in the predictors can be explained by Oil Usage. True or False
I believe the statement is FALSE because Oil usage (independent variable) is explained by the 78% variation in the predictors (dependent variables) not as the question states. Please confirm if I'm right and explain if not, thanks!
Answer: False
Explanation:
Given statement is false. We know that the coefficient of determination for the regression model always shows the variation in the dependent variable due to independent variables. So, correct statement is given as below:
The multiple regression model suggests that about 78% of the variation in the dependent variable Oil usage can be explained by predictors.
Dependent Variable: Oil usage
Independent variables or predictors: Degree Days, Home Index, Number People
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