Linear Regression Practice Problem

3. R Studio has a built-in dataset called "cars" that includes two variables - speed and dist. The "speed" variable includes speeds (in mph) and the "dist" variable includes the stopping distance (in ft). Note that this data was collected in 1920 so the speeds and distance will be different than you might expect today. Use this dataset to build a linear regression model to predict the stopping distance at a given speed. To load the data into R Studio, simply run the code in blue below. This will create a data frame called "cars" in your environment which you can use to build the model. > data(cars) a. What is the independent variable? b. What is the dependent variable? c. What is the formula for the regression model? d. Interpret the slope of the model in context. e. Interpret the y-intercept of the model in context. Does it make logical sense in this case? f. Use the model to predict the stopping distance for a speed of 15 mph.g. Create a residual plot from your model. Copy (or screen shot) it from R Studio and include it below