Data for age(in years) and price(in hundreds ofdollars) for a particular brand of car are provided in the accompanying data table. Presume that the assumptions for regression inferences have been met. Complete parts(a) through(f) below using the given data.

x(age) 6 6 6 2 2 5 4 5 1 4

y (price) 288 282 297 422 381 316 358 331 426 328

A) Obtain a point estimate for the mean price of all 1-year old cars of this brand.

B). Determine a 90% confidence interval for the mean price of all 5-year old cars of this brand.

c)Find the predicted price of a 5-year old car of this brand.

d) Determine a 90% prediction interval for the price of a 5-year old car of this brand.