1. [10 marks] Researchers developed a linear regression model to predict the fuel consumption (mpg; in miles per gallon) by the weight (wt; in 1,000 pounds) of the automobiles designed in the year 2018. The results appearing below were obtained from a statistical analysis of data from a random sample of 30 cars. Use this summary information to answer the following questions. mpg=Miles/(US)gallon wt= weight of a car (in 1000lbs) Dependent variable: mpg Independent variable: wt Linear model: Y = a + b*X Parameter Least Squares Estimate Standard Error T Statistic P-Value Intercept 37.2851 1.87763 19.8576 0.0000 Slope -5.34447 0.559101 -9.55904 0.0000 Correlation Coefficient = -0.867659 Standard Error of Est. = 3.04588