Predict sale ($thousands) Y based on living space in the house (square feet) (denoted as X1) and whether the house has a fireplace (denoted as X2) and house type, three levels, colonial, ranch, and other. We created two dummy variables, X3 and X4, for the categorical variable, house type. X3 equals 1 if house type is colonial, O otherwise; X4 equals 1 if house type is ranch, O otherwise. Y₁ = Bo+ B₁X1i+B2X2i+B3X3i + B4X4i + €i The following is the regression results in Excel. Intercept Living Space (X1) Fireplace (X2) House Type_c (X3) House Type R (X4) Coefficients Standard Erro t Stat P-value Lower 95% Upper 95% 332.296488 15.062026 22.0618718 2.6897E-29 302.123624 362.469352 0.02768425 0.00790811 3.50074144 0.00091821 0.0118424 0.04352611 16.2773295 10.4909814 1.55155451 0.1264025 -4.7386316 37.2932906 169.377469 13.6483741 12.4100841 1.0402E-17 142.036491 196.718448 81.9422133 11.4256387 7.17178402 1.8E-09 59.0539085 104.830518 What is the predicted asking price for a house with Living Space 1000 square feet and a fireplace, which type is Ranch. O 545.64 O 359.98 458.20 376.26

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Predict sale ($thousands) Y based on living space in the house (square feet) (denoted as X1) and whether the house has a
fireplace (denoted as X2) and house type, three levels, colonial, ranch, and other. We created two dummy variables, X3 and
X4, for the categorical variable, house type.
X3 equals 1 if house type is colonial, O otherwise;
X4 equals 1 if house type is ranch, O otherwise.
Yi = Bo+B1X1i + ẞ2X2i + ẞ3X3i + B4X4i + Єi
The following is the regression results in Excel.
Intercept
Living Space (X1)
Fireplace (X2)
House Type_c (X3)
House Type R (X4)
Coefficients Standard Erro t Stat
P-value Lower 95% Upper 95%
332.296488 15.062026 22.0618718 2.6897E-29 302.123624 362.469352
0.02768425 0.00790811 3.50074144 0.00091821 0.0118424 0.04352611
16.2773295 10.4909814 1.55155451 0.1264025 -4.7386316 37.2932906
169.377469 13.6483741 12.4100841 1.0402E-17 142.036491 196.718448
81.9422133 11.4256387 7.17178402
104.830518
1.8E-09
59.0539085
What is the predicted asking price for a house with Living Space 1000 square feet and a fireplace, which type is Ranch.
○ 545.64
359.98
458.20
376.26
Transcribed Image Text:Predict sale ($thousands) Y based on living space in the house (square feet) (denoted as X1) and whether the house has a fireplace (denoted as X2) and house type, three levels, colonial, ranch, and other. We created two dummy variables, X3 and X4, for the categorical variable, house type. X3 equals 1 if house type is colonial, O otherwise; X4 equals 1 if house type is ranch, O otherwise. Yi = Bo+B1X1i + ẞ2X2i + ẞ3X3i + B4X4i + Єi The following is the regression results in Excel. Intercept Living Space (X1) Fireplace (X2) House Type_c (X3) House Type R (X4) Coefficients Standard Erro t Stat P-value Lower 95% Upper 95% 332.296488 15.062026 22.0618718 2.6897E-29 302.123624 362.469352 0.02768425 0.00790811 3.50074144 0.00091821 0.0118424 0.04352611 16.2773295 10.4909814 1.55155451 0.1264025 -4.7386316 37.2932906 169.377469 13.6483741 12.4100841 1.0402E-17 142.036491 196.718448 81.9422133 11.4256387 7.17178402 104.830518 1.8E-09 59.0539085 What is the predicted asking price for a house with Living Space 1000 square feet and a fireplace, which type is Ranch. ○ 545.64 359.98 458.20 376.26
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