Companies in the shipping industry vary greatly in terms of the sides of the fleet and annual revenue. The following table shows the data for eight smaller companies in the industry: Company Ships (100s) Revenue ($millions) A 13.5 152 B 10.0 135 C 8.0 100 D 5.6 65 E 4.5 40 F 3.3 32 G 6.2 80 H 9.2 120 Please answer the following questions: a. Use the least squares method to develop the estimated regression equation. Please do show your computation steps. b. Panda Inc. has 500 ships in service. Use the estimated regression equation developed in part (a) to predict annual revenue for Panda Inc. c. At α = 0.05, please use t-test to test for the significance of the slope. Please do your computation steps. d. Compute the coefficient of correlation. Please show your computation step

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.6: More Applications Of Matrix Operations
Problem 29E
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Companies in the shipping industry vary greatly in terms of the sides of the fleet and annual revenue. The following table shows the data for eight smaller companies in the industry:

Company Ships (100s) Revenue ($millions)

A 13.5 152

B 10.0 135

C 8.0 100

D 5.6 65

E 4.5 40

F 3.3 32

G 6.2 80

H 9.2 120

Please answer the following questions:

a. Use the least squares method to develop the estimated regression equation. Please do show your computation steps.

b. Panda Inc. has 500 ships in service. Use the estimated regression equation developed in part (a) to predict annual revenue for Panda Inc.

c. At α = 0.05, please use t-test to test for the significance of the slope. Please do your computation steps.

d. Compute the coefficient of correlation. Please show your computation step

 

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