You are a researcher in the automobile industry studying fuel efficiency differences betweenvintage cars. You are interested in the following research question: “Did fuel efficiencyamong vintage cars vary depending on vehicle weight?” use the screen shot below to make reference to at least the following statistics in your write-up: the slopecoefficient, the test t-statistic and p-value associated with the slope coefficient, the yintercept, and R **Linear Regression Analysis Summary****Call:**`lm(formula = mpg ~ weight, data = auto)`This analysis involves a linear regression where the dependent variable is miles per gallon (mpg) and the independent variable is weight. The dataset used is named "auto."**Residuals:**- Min: -6.9593- 1Q (First Quartile): -1.9325- Median: -0.3713- 3Q (Third Quartile): 0.8885- Max: 13.8174The residuals indicate the difference between the observed and predicted values of mpg. They provide an insight into the distribution of errors in the model.**Coefficients:**- **Intercept:** - Estimate: 39.4402835 - Standard Error: 1.6140031 - t value: 24.44 - Pr(>|t|): <2e-16 *** The intercept is the predicted value of mpg when the weight is zero.- **Weight:** - Estimate: -0.0060087 - Standard Error: 0.0005179 - t value: -11.60 - Pr(>|t|): <2e-16 *** The weight coefficient indicates that for each unit increase in weight, the mpg decreases by approximately 0.006. The significance codes (*** for p-value < 0.001) suggest this variable is highly significant.**Significance Codes:**- 0 ‘***’ - 0.001 ‘**’ - 0.01 ‘*’ - 0.05 ‘.’ - 0.1 ‘ ’ - 1**Model Summary:**- Residual Standard Error: 3.439 on 72 degrees of freedom- Multiple R-squared: 0.6515- Adjusted R-squared: 0.6467- F-statistic: 134.6 on 1 and 72 DF- p-value: < 2.2e-16The R-squared value indicates that approximately 65.15% of the variability in mpg can be explained by the weight. The high F-statistic and corresponding low p-value further confirm the model's overall significance.This summary provides insights into how well weight predicts mpg and the

Name: You are a researcher in the automobile industry studying fuel efficien
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: You are a researcher in the automobile industry studying fuel efficiency differences betweenvintage cars. You are interested in the following research question: “Did fuel efficiencyamong vintage cars vary depending on vehicle weight?” use the scre