A house developer company wants to investigate the influencing factors when the customers buy a house. The developer went to a local real estate agency and obtained the data consisting of the following variables: Y = selling price of house (RM'000) = age of house (years) lot size (100 square feet) X, X, number of bedrooms (1 if intermediate lot = 'x 10 if corner lot Refer to Appendix 2 for the computer output. (a) Write down the fitted regression function. (b) If the customer plan to buy a 5 year old intermediate house that has a lot size of 1400 square feet and 4 bedrooms, what price would you expect? (c) Does an increase in lot size by 100 square feet change the sales price by RM5000? Test by using the appropriate hypothesis. Use a =0.05

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A house developer company wants to investigate the influencing factors when the customers
buy a house. The developer went to a local real estate agency and obtained the data
consisting of the following variables:
Y = selling price of house (RM'000)
X, = age of house (years)
X, = lot size (100 square feet)
X3
number of bedrooms
if intermediate lot
X =
0if corner lot
Refer to Appendix 2 for the computer output.
(a)
Write down the fitted regression function.
(b)
If the customer plan to buy a 5 year old intermediate house that has a lot size of 1400
square feet and 4 bedrooms, what price would you expect?
(c)
Does an increase in lot size by 100 square feet change the sales price by RM5000?
Test by using the appropriate hypothesis, Use g =0,05.
Transcribed Image Text:A house developer company wants to investigate the influencing factors when the customers buy a house. The developer went to a local real estate agency and obtained the data consisting of the following variables: Y = selling price of house (RM'000) X, = age of house (years) X, = lot size (100 square feet) X3 number of bedrooms if intermediate lot X = 0if corner lot Refer to Appendix 2 for the computer output. (a) Write down the fitted regression function. (b) If the customer plan to buy a 5 year old intermediate house that has a lot size of 1400 square feet and 4 bedrooms, what price would you expect? (c) Does an increase in lot size by 100 square feet change the sales price by RM5000? Test by using the appropriate hypothesis, Use g =0,05.
APPENDIX 2
Model
Unstandardized
Coefficients
Std. Error
1 Constant
36.74
62.14
X
8.917
3.044
X2
0.527
1.312
X3
61.46
13.70
X4
-147.70
19.05
Analysis of Variance
Sum of
Model
Squares
df
1 Regression
145778
4
Residual
1487
7
Total
145778
11
Extra Sum of
SSR
Squares
128143
df
X,
1
1223
1
X3]X1„X2
3646
1
| X4X1„X2,X3
12766
1
Transcribed Image Text:APPENDIX 2 Model Unstandardized Coefficients Std. Error 1 Constant 36.74 62.14 X 8.917 3.044 X2 0.527 1.312 X3 61.46 13.70 X4 -147.70 19.05 Analysis of Variance Sum of Model Squares df 1 Regression 145778 4 Residual 1487 7 Total 145778 11 Extra Sum of SSR Squares 128143 df X, 1 1223 1 X3]X1„X2 3646 1 | X4X1„X2,X3 12766 1
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