[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=Milesr'(US)gallon wt= weight of a car {in llbs) Dependent variable: mpg Independent variable: wt Linear model: Y = a + b*X Correlation Coefcient = 41.867659 Standard Error of Est. = 3.04588 prawnalum m-arm-m a) [1 mark] Identify the elements (subjects) of interest in this study. b) [2 marks] For the variable(s) described in this study, specify the type of data and scale of measurement (for each of the variables). c) [3 marks] Is there a significant linear relationship between the fuel consumption and weight of the car? Use an appropriate decision point and show all necessary steps to answer this