A table listing pairs of values for Length in feet represented by x and Cost in thousands of dollars represented by y. Length, or X values: 27, 18, 25, 32, 18, 26, 36. Cost, or Y values: 94, 56, 58, 123, 60, 87, 145. a. Use a graphing calculator to find the equation of the line of best fit. Round the slope to the nearest tenth and the y -intercept to the nearest integer.

y= _

b. Identify the correlation coefficient. Round to the nearest thousandth.

r=_

Question 2
Interpret the correlation coefficient.

The data show a _ correlation.

Question 3
c. Interpret the slope and the y -intercept of the line of best fit.

A. The slope, m , means the cost of a sailboat decreases by m thousands of dollars for each foot the length of the sailboat increases. The y -intercept, b , has no meaning because the length of the sailboat cannot be negative.

B. The slope, m , means the cost of a sailboat decreases by m thousands of dollars for each foot the length of the sailboat increases. The y -intercept, b , indicates the smallest length of a sailboat.

C. The slope, m , means the cost of a sailboat increases by m thousands of dollars for each foot the length of the sailboat increases. The y -intercept, b , has no meaning because the cost of the sailboat cannot be negative.

D. The slope, m , means the cost of a sailboat increases by m thousands of dollars for each foot the length of the sailboat increases. The y -intercept, b, indicates the initial cost of the sailboat.

Question 4
d. Use the model from part (a) to approximate the cost of a sailboat that is 20 feet long.

The sailboat costs $_.

e. Use the model from part (a) to predict the length of a sailboat that costs $147,000. Round to the nearest foot.

The length is about _ feet.