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A large discount department store chain advertises on television (X₁), and on the radio (X2). A sample of 12 of its stores in the certain area showed expenditures and revenues during a given month. All figures are in thousands of dollars. The dataset is summarised below. Television advertising X'X= X'Y: 12 115 1191| 647 6393 Radio advertising Television & Radio advertising X'X = X'Y = 12 0.109897957 68 410 (X'X)¹ = -0.001810563 647 3868 0.000189003 -0.001625893 -0.00000012663 0.000287136 Y'Y=39973 and b = -10.11045936 1.956197151 and Σ X, X, = 654 7.990629999

A large discount department store chain advertises on television (X₁), and on the radio (X2). A sample of 12 of its stores in the certain area showed expenditures and revenues during a given month. All figures are in thousands of dollars. The dataset is summarised below. Television advertising X'X= X'Y: 12 115 1191| 647 6393 Radio advertising Television & Radio advertising X'X = X'Y = 12 0.109897957 68 410 (X'X)¹ = -0.001810563 647 3868 0.000189003 -0.001625893 -0.00000012663 0.000287136 Y'Y=39973 and b = -10.11045936 1.956197151 and Σ X, X, = 654 7.990629999

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter9: Solving Quadratic Functions
Section: Chapter Questions
Problem 4CA
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A large discount department store chain advertises on television (X₁), and on the radio (X₂). A sample of 12 of its stores in the certain area showed expenditures and revenues during a given month. All figures are in thousands of dollars. The dataset is summarised below. Television advertising X'X = X'Y = a) b) c) d) e) 12 115 1191 647 6393 Radio advertising Television & Radio advertising X'X = X'Y = 12 68 410 647 3868 0.109897957 (X'X) = -0.001810563 0.000189003 -0.001625893 -0.00000012663 0.000287136 Y'Y=39973 and b₁ = -10.11045936] 1.956197151 and Σ.Χ.Χ, = 654 7.990629999 Interpret the given slopes. Use the given information to find X'Y for the two independent variables (i.e. Television & Radio advertising). (1) Regardless of the results of the overall regression significance test, test for the significance of the individual predictors using the partial F-test. Based on your findings from c) what is your final model? Based on your final model from d) what will be the matrix of X?
Transcribed Image Text:A large discount department store chain advertises on television (X₁), and on the radio (X₂). A sample of 12 of its stores in the certain area showed expenditures and revenues during a given month. All figures are in thousands of dollars. The dataset is summarised below. Television advertising X'X = X'Y = a) b) c) d) e) 12 115 1191 647 6393 Radio advertising Television & Radio advertising X'X = X'Y = 12 68 410 647 3868 0.109897957 (X'X) = -0.001810563 0.000189003 -0.001625893 -0.00000012663 0.000287136 Y'Y=39973 and b₁ = -10.11045936] 1.956197151 and Σ.Χ.Χ, = 654 7.990629999 Interpret the given slopes. Use the given information to find X'Y for the two independent variables (i.e. Television & Radio advertising). (1) Regardless of the results of the overall regression significance test, test for the significance of the individual predictors using the partial F-test. Based on your findings from c) what is your final model? Based on your final model from d) what will be the matrix of X?
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