A1: Compute the coefficient of determination based on the above regression repor

Question

A1: Compute the coefficient of determination based on the above regression report:

A2: Predict the market price of a home with 1200 square feet, 1 car garage, 2 bedrooms.

A3: Predict the market price of a home with 2500 square feet, 2 car garages, 3 bedrooms:

ANOVA dt MS Significance F 3 6915.163752 2305.054584 38.25859023 0.000103625 Regression Residual 421.7453385 60.24933407 10 7336.909091 t Stat P-value Lower 95% Upper 95% Intercept Sq Ft Garage Bedrooms 26.44037042 11.52795953 2 293586333 0.055513321 -0.818922254 53.69966309 30.80340383 14.65878551 2.101361249 0.073722865 3.859115886 65.46592354 2.56745088 4.459141057 2.818356881 0.025834115 2.023257797 23.11164397 4.575960456 7.143016784 0.640620146 0.54216428 -12.31459026 21.46651117 RESIDUAL OUTPUT Observation edicted (in $1000 Residuals 1 66.39569516 1.395695157 2 69.47603554 3.52396446 3 83.58365661 1.416343386 4 83.29301714 3.706982856 5 105.1014892 -7.101489175 6 98.69471906 3.694719059 7 134.566262 9.566262045 112.75779 7.757790014 9 115.83813049.161869603 10 134.566262 2.433737955 11 140.7269428 9.273057189

Explanation / Answer

The image is not available. However, follow the following steps to get the answer,

a) Locate the value corresponding to the R. find the square root of R. This will be your coeffeicent of determination

Coefficient of Determination = r2 = SS(Regression) / SS(Total)

= 6915.163752/7336.909091

= 0.942517300709458

b)

Now go to bottom of the table and locate the values corresponing to Intercept and then for each variable.

Now use, this formula = Intercept value + 1200*Squarefeet value+1*Car garage value+ 2* bedroom value.

The answer will the the answer for the part (A2)

c) Similarly do for part (A3)

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