Questions 28-32 use the 'mtcars' dataset in R The 'mtcars' dataset contains information on fuel consumption, automobile design, and performance for 32 cars. Question 28 Using R, produce a scatterplot with mpg (miles per gallon) on the y-axis and wt (weight) on the x-axis. Interpret the scatterplot. (Hint: a single sentence answer will be enough - do not upload your scatterplot.) Use the editor to format your answer 2 Points Question 29 2 Points 1. For the scatterplot you produced in Question 28, for the line of best fit that minimises the residual sum of squares, the slope = Blank 1 and the intercept = Blank 2 (to one decimal place). Blank 1 Add your answer Blank 2 Add your answer Question 30 As a percentage, how much variability in miles per gallon (mpg) is explained by weight (wt)? Blank 1% (to one decimal place) Blank 1 Add your answer 1 Point Question 31 3 Points Is there evidence to support the hypothesis that the population slope of the linear relationship between mpg and wt is significantly different from zero? Explain in detail how you reached your conclusion. (Hint: provide relevant numbers to support your argument; two sentences should be enough.) Use the editor to format your answer Question 32 Prediction bands can easily be added to your scatterplot produced in Question 28. Give two reasons why adding prediction bands to the graphs could be useful. (Hint: Two sentences will be enough - but do not actually add prediction bands to your plot and do not upload it here.) Use the editor to format your answer 2 Points