Ten corvettes between 1 and 6 years old were randomly selected from the classified ads of The Arizona Republic. The following data were obtained, where x denotes age, in years, and y denotes price, in hundreds of dollars.

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

Price (100ths) 270 ,260, 275 ,405, 364 ,295, 335, 308 ,405, 305

(a) Draw a scatter diagram

(b) Find the Linear Correlation Coefficient r.

(c) Describe the shape, strength, and direction.

(d) Does a linear relationship exist between the age of a corvette and its price? (use the critical value to explain)

(e) If appropriate, explain the slope in context.

(f) If appropriate, explain the y-intercept in context.

(g) Predict the price of a one-year-old corvette.

(h) Find the Residual of a one-year-old corvette.