Question

UESTION 7 Fuel efficiency in auto-mobiles can be influences by a number of characteristics. See the linear regression output below and answer the following questions Results of linear regression analysis are shown below: Call: lm (formula = mpg ~ ., data = auto-mpg) Residuals: Min 1Q Median 3Q Max -8.6927-2.3864 -0.0801 2.0291 14.3607 Coefficients: Estimate Std. Error t value Pr>Itl) (Intercept) -1.454e+01 4.764e+00 -3.051 0.00244* cyl disp hp gvw accel year -3.299e-01 3.321e-01 -0.993 0.32122 7.678e-03 7.358e-03 1.044 0.29733 -3.914e-04 1.384e-02 -0.028 0.97745 6.795e-03 6.700e-04 -10.141 2e-16 8.527e-02 1.020e-01 0.836 0.40383 7.534e-01 5.262e-02 14.318 <2e-16 Signif. codes: 00.0010.010.05 . 01 1 Residual standard error 3.435 on 385 degrees of freedom (6 observations deleted due to missingness) Multiple R-squared: 0.8093, Adjusted R-squared: 0.8063 F-statistic: 272.2 on 6 and 385 DF, p-value:< 2.2e-16

Answer 1

The above mentioned situation is of multiple regression analysis with independent variables.

The concepts included:

#coefficient of determination R2

# significance of regressiors or independent variables

# confidence interval for regression coefficients

# difference between R2 & Adjusted R2