A company believes that the variation in the cost of a shipment can be explained by the weight of the package. A sample of 20 customer shipments was selected, and this scatter plot and regression line were obtained: Shipping y = 1.101x + 4.4995 r = 0.8764 30 25 20 15 10 10 15 20 25 Weight (Ib) a. Find r and interpret the meaning of r in the context of this problem. b. Interpret the meaning of the slope in the context of this problem. c. Interpret the meaning of the y-intercept in the context of this problem. Explain whether or not it makes sense. d. Using the regression equation, calculate the expected cost of a package that weighs 11 lbs. e. Using the regression equation, find the weight of a package that cost $20 to ship. Cost (dollars)

A company believes that the variation in the cost of a shipment can be explained by the weight of the package. A sample of 20 customer shipments was selected, and this scatter plot and regression line were obtained: Shipping y = 1.101x + 4.4995 r = 0.8764 30 25 20 15 10 10 15 20 25 Weight (Ib) a. Find r and interpret the meaning of r in the context of this problem. b. Interpret the meaning of the slope in the context of this problem. c. Interpret the meaning of the y-intercept in the context of this problem. Explain whether or not it makes sense. d. Using the regression equation, calculate the expected cost of a package that weighs 11 lbs. e. Using the regression equation, find the weight of a package that cost $20 to ship. Cost (dollars)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 92E

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