Consider the model y Icirc sup2 0 Icirc sup2 1x1 Icirc sup2 2x2 Icirc sup2 3x3 AElig where x1 is a quantitative variable and x2 and x3 are dummy variables describing a qualitative variable at three levels, using the coding scheme The resulting least squares prediction equation is y Igrave 44 8 22x1 9 4x2 15 6x3 What is the response line (equation) for E(y) when x2 x3 0 When x2 1 and x3 0 When x2 0 and x3 1 b What is the least squares prediction equation associated with level 1 Level 2 Level 3 Plot these on the same graph 1 if level 2 otherwise S1 if level 3 lo otherwise X2 X3

Question: Consider the model y = Î²0 + Î²1x1 + Î²2x2 + Î²3x3 + Æ where x1 is a quantitative variable and x2 and x3 are

Consider the model
y = Î²0 + Î²1x1 + Î²2x2 + Î²3x3 + Æ
where x1 is a quantitative variable and x2 and x3 are dummy variables describing a qualitative variable at three levels, using the coding scheme

The resulting least squares prediction equation is
yÌ‚ = 44.8 + 22x1 + 9.4x2 + 15.6x3
What is the response line (equation) for E(y) when x2 = x3 = 0? When x2 = 1 and x3 = 0? When x2 = 0 and x3 = 1?
b. What is the least squares prediction equation associated with level 1? Level| 2? Level |3? Plot these on the same graph.

[1 if level 2 otherwise S1 if level 3 lo otherwise X2 X3

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