1596 words - 7 pages

1)

| Sales | TV | Radio | Fuel.Volume |

1 | Min. :18969 | Min. : 0.00 | Min. : 0.00 | Min. :56259 |

2 | 1st Qu.:21171 | 1st Qu.: 0.00 | 1st Qu.: 0.00 | 1st Qu.:61754 |

3 | Median :22924 | Median : 0.00 | Median : 0.00 | Median :63136 |

4 | Mean :23064 | Mean : 41.28 | Mean : 80.47 | Mean :62853 |

5 | 3rd Qu.:24489 | 3rd Qu.: 70.00 | 3rd Qu.:205.00 | 3rd Qu.:64637 |

6 | Max. :28451 | Max. :225.00 | Max. :260.00 | Max. :68549 |

2)

a) Yes, The p-value is 9.72e^-12. Much lower than Tyler’s 10% significant level.

| Value | Prediction | Lower | Upper |

1 | Minimum | 18809.35 | 14777.04 | 22841.66 |

2 | Mean | 23063.73 | 19182.71 | 26944.74 |

3 | Max | 26739.02 | ...view middle of the document...

193 | 5.193 |

Overall(mf=3) | 36.58 | 15.58 |

Profit | 10.97 | 4.67 |

net | -289.03 | -20.33 |

b)

4)

Residuals:

Min 1Q Median 3Q Max

-5023.8 -1233.4 -165.5 1321.2 4846.7

Coefficients:

Estimate Std. Error t value Pr(>|t|)

(Intercept) 1.919e+04 5.443e+02 35.259 < 2e-16 ***

TV 1.130e+01 3.326e+00 3.396 0.000991 ***

Radio 1.646e-01 2.462e+00 0.067 0.946826

Temp 1.891e+02 3.141e+01 6.019 3.12e-08 ***

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Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 1833 on 97 degrees of freedom

Multiple R-squared: 0.4571, Adjusted R-squared: 0.4403

F-statistic: 27.23 on 3 and 97 DF, p-value: 7.356e-13

a) Yes. Temp seems to have a significant impact on sales. By introducing the Temp variable, Radio’s level of significance drops outside of our accepted level. Tyler’s criticism seems to be justified. One would think that increased driving times would allow for greater penetration for Radio, but in the model it has no significance.

| tv |

Amount | 300 |

Short | 11.422 |

Overall(mf=3) | 34.27 |

Profit | 10.28 |

net | -289.72 |

b)

5)

Call:

lm(formula = Sales ~ . - Week - week7 - week21 - week49, data = europet)

Residuals:

Min 1Q Median 3Q Max

-2139.97 -681.28 -38.15 631.86 2121.55

Coefficients:

Estimate Std. Error t value Pr(>|t|)

(Intercept) -3.398e+03 3.416e+03 -0.995 0.322562

TV 5.194e+00 1.975e+00 2.630 0.010018 *

Radio 5.822e-01 1.592e+00 0.366 0.715483

Fuel.Volume 2.782e-01 5.292e-02 5.257 9.46e-07 ***

Fuel.Price 8.307e+01 1.432e+01 5.801 9.22e-08 ***

Temp 6.582e+01 2.112e+01 3.117 0.002440 **

Prec -1.390e+02 1.735e+01 -8.010 3.44e-12 ***

Holiday 9.097e+02 2.241e+02 4.060 0.000103 ***

Visits..1.or.2. -1.610e+02 4.091e+01 -3.935 0.000162 ***

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Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 1020 on 92 degrees of freedom

Multiple R-squared: 0.8405, Adjusted R-squared: 0.8267

F-statistic: 60.61 on 8 and 92 DF, p-value: <...

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