As part of a study on transportation safety, the U.S. Departmentof Transportation collected data on the number of fatal accidentsper 1000 licenses and the percentage of licensed drivers under theage of 21 in a sample of 42 cities. Data collected over a one-yearperiod follow. These data are contained in the file named“Safety.csv”.

1- Find the sample mean and standard deviation for eachvariable. Round your answers to the nearest thousandth.

2- Use the function lm() in R to run a simple linear regressionmodel on the data provided. Use the function summary() in R togenerate the regression output. Use the function aov() in R togenerate the corresponding ANOVA table. You ought to be able todetermine which is the dependent variable and which is theindependent variable in this SLR model.

Please copy your R code andthe result and paste them here.

3- Write down the estimated regression function below andprovide a practical interpretation of the coefficient of theindependent variable.

4- Please find a 95% confidence interval for the coefficient ofthe independent variable and provide a practical interpretation ofthis interval.

5- At the 5% level of significance, is there a significantrelationship between the two variables? Why or why not?

6- What is the value of the coefficient of determination forthis simple linear regression model? Provide a brief interpretationof this value.

7- Use the information from the ANOVA table to compute thestandard error of estimate, a.k,a, residual standard error. Thisvalue must match the residual standard error in the regressionsummary.

8- What is the point estimate of the expectednumber of fatal accidents per 1000 licenses if there are 10%drivers under age in a city?

9- Suppose we want to develop a 95% confidence interval for theaverage number of fatal accidents per 1000 licenses for all thecities with 10% of drivers under age 21. What is the estimate ofthe standard deviation for this confidence interval?

10-Suppose we want to develop a 95% confidence interval for theaverage number of fatal accidents per 1000 licenses for all thecities with 10% of drivers under age 21. Compute the t value andthe margin of error needed for this confidence interval.

Please copy your R code andthe result and paste them here.

11-Provide a 95% confidence interval for the average number offatal accidents per 1000 licenses for all the cities with 10% ofdrivers under age 21 and a practical interpretation to thisconfidence interval.

12- Suppose we want to develop a 95% prediction interval for thenumber of fatal accidents per 1000 licenses for a city with 10% ofdrivers under age 21. What is the estimate of the standarddeviation for this prediction interval?

13- Suppose we want to develop a 95% prediction interval for thenumber of fatal accidents per 1000 licenses for a city with 10% ofdrivers under age 21. Compute the margin of error needed for thisprediction interval.

14- Provide a 95% prediction interval for the number of fatalaccidents per 1000 licenses for a city with 10% of drivers underage 21 and a practical interpretation to this predictioninterval.'

PS: I do appreciate your help but please do not simplycopy and paste the irrelevant answer

Safety.csv

Percent Under 21	Fatal Accidents per 1000
13	2.962
12	0.708
8	0.885
12	1.652
11	2.091
17	2.627
18	3.83
8	0.368
13	1.142
8	0.645
9	1.028
16	2.801
12	1.405
9	1.433
10	0.039
9	0.338
11	1.849
12	2.246
14	2.855
14	2.352
11	1.294
17	4.1
8	2.19
16	3.623
15	2.623
9	0.835
8	0.82
14	2.89
8	1.267
15	3.224
10	1.014
10	0.493
14	1.443
18	3.614
10	1.926
14	1.643
16	2.943
12	1.913
15	2.814
13	2.634
9	0.926
17	3.256