5. A gift card company has about 10 different coloured cards for sale. Since the colouring process isexpensive they want reduce the number of colours. In order to decide which colour to be used theypiloted as study by taking the NUMBER (X₁) of a COLOUR X₂ that sell the most and theREVENUE from different outlets. Partial Data Set n = 36. They chose blue, pink and green cardsfor the study.Revenue78.873.864.6=97.684.470.5Number1001506979140120ColourPBGGPBX₁ = NUMBER of coloured cards soldX₂Ŷ = REVENUE recorded in x R1000.00COLOUR: P = pink, B = blue and G = greenThe analyst expanded his analysis and SAS produced the following regression function.Ŷ = 6.21 + 1.03 X₁ + 41.3 X₂ + 22.7 X3 -0.703 X₁X₂ - 0.510X₁X3.5.1. Why would he have interaction terms in the fitted response?

Given information: Variables:1. X1=Number of coloured cards sold2. X2=Colour(P→pink, B→blue,…

Answered: The analyst expanded his analysis and…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The analyst expanded his analysis and SAS produced the following regression function. Y = 6.21 + 1.03 X₁ + 41.3 X₂ + 22.7 X3 -0.703 X₁X₂ - 0.510X₁X3. 5.1. Why would he have interaction terms in the fitted response?