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

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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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