example_MR3

# example_MR3 - Analysis of Variance

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Stat 2225 Multiple Regression Example #3: Categorical Variables Assessed Value (in \$1,000) Heating Area (in square metres) Fireplace 84.4 185.8 1 77.4 158.9 0 75.7 134.7 0 85.9 163.5 1 79.1 179.3 0 70.4 111.5 1 75.8 144.0 1 85.9 179.3 1 78.5 147.7 1 79.2 139.4 1 86.7 176.5 1 79.3 129.1 1 74.5 143.1 0 83.8 175.6 1 76.8 147.7 0 Multiple Regression Analysis ----------------------------------------------------------------------------- Dependent variable: Value ----------------------------------------------------------------------------- Standard T Parameter Estimate Error Statistic P-Value ----------------------------------------------------------------------------- CONSTANT 50.0913 4.35486 11.5024 0.0000 Heating Area 0.174209 0.0277304 6.28226 0.0000 FP 3.85448 1.24195 3.10358 0.0091 -----------------------------------------------------------------------------
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Unformatted text preview: Analysis of Variance ----------------------------------------------------------------------------- Source Sum of Squares Df Mean Square F-Ratio P-Value ----------------------------------------------------------------------------- Model 263.631 2 131.815 25.72 0.0000 Residual 61.505 12 5.12542 ----------------------------------------------------------------------------- Total (Corr.) 325.136 14 R-squared = 81.0833 percent R-squared (adjusted for d.f.) = 77.9305 percent Standard Error of Est. = 2.26394 Assessed value of houses with fireplace: y = 50.09 + 0.1742x 1 + 3.85x 2 = 50.09 + 0.1742x 1 + 3.85(1) = 53.94 + 0.1742x 1 Assessed value of houses without fireplace: y = 50.09 + 0.1742x 1 + 3.85x 2 = 50.09 + 0.1742x 1 + 3.85(0) = 50.09 + 0.1742x 1 Houses with and without fireplace has the assessed value differed by \$3,850! Page 1 of 1...
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## This note was uploaded on 01/17/2010 for the course STATS 2225 taught by Professor Li during the Spring '09 term at Langara.

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