(Rstudio)

Work on the dataset(dataset is in R studio) in the attached file "cars.csv". The data give the speed of cars and the distances taken to stop. The variables are: Variable name Description 1 speed Miles per hour (mph) 2 dist Stopping distance in feet

Use R to fit a simple linear regression (SLR) model to predict dist based on speed. Show the output of the summary of the model. Interpret the slope of the SLR model.

What is the predicted stopping distance when the speed of a car is 55 mph?

Follow the seven-step procedure in the lecture notes to determine if the slope of the above SLR model is significant at a significance level of 0.05 (You need to show every step in detail to get the full credit).

Step 1: Specify some model for the data

Step 2: Identify the null and alternative hypotheses, H0 and Ha

Step 3: Specify a test statistic

Step 4: Compute the observed value of the test statistic

Step 5: Compute the p-value under H0

Step 6: Specify a significance level

Step 7: Compare the p-value and the significance level