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Problem 2. Multiple Regression. This data is based on a random sample of housing sales in Newark, DE from 2005 to 2008. The total sample size is 134 houses. The dependent variable is PRICE in $1,000s (the actual sale price is divided by 1,000). We will look at four independent variables. The total square footage of the house AREA LOT SIZE The size of the lot in acres BEDROOMS The number of bedrooms in the house BATHDUM A dummy variable for the number of full bathrooms where 1- 2 or more bathrooms, O 1 bathroom Parameter Estimates Term Intercept AREA LOT SIZE BEDROOMS BATHDum Std Error 20.2411 0.0099 15.0535 6.4100 7.6003 Prob>It! 0.0526 5.68 <.0001* 6.54 <.0001* 3.38 0.0009* 4.36 <.0001* Std Beta Estimate 39.5877 0.0560 98.4516 21.6871 33.1305 t Ratio 1.96 0356 0355 0182 0.246 Simple Statistics Column PRICE in S1000 AREA LOT SIZE BEDROOMS BATHDum 34 169St 1343.1269 0.5676419.000 Mean Std Dev Sum Minimum 90.0000 950.000 0.0400 2.0000 0.0000 134 239.697 67.7192 32119.4 134 1684.51 430.791 225725 0.2143 0.2439 28.7200 134 0.5075 0.5018 68.0000 I want you to calculate the standardized coefficients for each of the independent variables in the model. This is covered in detail in Lecture 36. To do this you will also need the standard deviations for each variable, including the dependent variable Those are also given above a. Calculate the standardized coefficient for each variable. Please show all the parts that go into the formula b. Describe in words the meaning of the standardized coefficient for LOT SIZE. c. Based on your calculations of standardized coefficient, which attributes of a house have the most influence on the price?

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