1. a. Look at the "HSDropoutRate" data set in R.

2. b. (You may want to extract the Rate and Year vectors for future use)

• What is the length/dimension of each vector?

• This should be a single number since each vector is the same length.

What is the output variable for the HSDropoutRate data set?

Which is a valid command to fit this data in R?

After fitting this data with project(), either with the matrix method or the formula method, what is the value of the intercept? Round your answer to three decimal places

What would the model predict the dropout rate to be in the year 1976? Round your answer to one decimal place.

If the actual dropout rate was 14.2 in 1978 and the model predicts a dropout rate of 14.1, what is the component value of the residual vector for the year 1978? Round your answer to one decimal place.

Calculate the whole residual vector, and calculate the RMSE. What is the RMSE? Round your answer to three decimal places.

Repeat that whole process, from start to finish, with the dataset "WorldPopulation." What is the RMSE of your model? Round your answer to three decimal places.