Assume you are hired as a statistical consultant by the biggest Toyota car dealership, to investigate the gas consumption of a set of pre-owned cars in their stock. To this end, the company handed you the following attached dataset "Auto", and wish to predict gas mileage (mpg) on the basis of the other variables.

1. Which variable is the dependent variable?What are the independents variables?
2. What are the first to quantitative predictors in the data? What are the first two qualitative predictors in the data?
3. What is the range of the two quantitative predictors you have identified in question 3?
4. What are the means and standard deviations of the first two quantitative predictors?
5. What are the values of the First quartile (Q1), and Third Quartile (Q3) of "acceleration" for the cars made in 1970?Calculate the value of the inter-quartile range (IQR).
6. Construct the frequency Bar-chart, and pie-chart for the variable "Origin", and Comment your graphical findings.
7. What is the value of the covariance between "mpg" and "Horsepower"? Give a meaningful interpretation to this result.
8. What is the value of the correlation coefficient between "mpg" and "Horsepower"? Give a meaningful interpretation to this result.
9. What is the value of the slope coefficient (b₁) between "mpg" and "Horsepower"? give an interpretation of your result
10. What is the value of the y-intercept (b₀) between "mpg" and "Horsepower"? give an interpretation of your result
11. Plot the relationship between "mpg" and "Horsepower" what type of relationship does your plot suggest exist between "mpg" and "Horsepower" ? is Horsepower a good predictor of mileage (mpg) ? why or why not ?