A company specializes in custom home resales in an exclusive subdivision. A random sample of nine custom homes currently listed for sale provided the following information on size and price.​ Here, x denotes​ size, in hundreds of square​ feet, rounded to the nearest​ hundred, and y denotes​ price, in thousands of​ dollars, rounded to the nearest thousand. Use the information to complete parts​ (a) through​ (g). x 26 27 33 29 29 34 30 40 22
y 540 555 575 577 606 661 738 804 496

a. Find the regression equation for the data points.
b. Graph the regression equation and the data points.
c. Describe the apparent relationship between the two variables under consideration.
d. Interpret the slope of the regression line.
e. Identify the predictor and response variables.
f. Identify outliners and potential influential observations.
g. Predict the values of the response variable for the specified values of the predictor variable, and interpret your results.