Consider the accompanying set of dependent and independent variables. The variab

Question

Consider the accompanying set of dependent and independent variables. The variable x is qualitative with H-High, M- Medium, and L-Low. Complete parts a and b below. EEB Click the icon to view the set of variables a. Using technology, construct a regression model using all three indepondent variables. (Let variable Cond1 be one of the dummy variables for x3-Assign a 1 to High for this variable. Let Cond2 be another dummy variable for x3- Assign a 1 to Medium for this variable.) Complete the regression equation for the model below, where xs represents the dummy variable Cond1, andx represents the dummy variable Cond2 (Round to three decimal places as naaded Variables y 60 61 72 59 46 32 27 19 10 X4243 44 42 34 23 21 22 7 2 73 62 80 64 44 45 36 16 Enter your answer in the edit f Print Done

Explanation / Answer

Here from the data to contruct a regression equation we create two dummy variables D3 and D4;

where D3 = 1 if x3 = 'H' and 0 otherwise ; D4 = 1 if x3= 'M' and 0 otherwise.

Thus, using the least square method the fitted regression model of y on x1 ,x2 ,D3 ,D4 is

Y = -3.721 + 0.727 *x1 + 0.551 * x2 -5.738 * D3 + 0.142 * D4

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