Question

Building type Average floor area (m2) Total floor area (m2) avg story height(cms) COST (HK$)

1 1852 81478 410 1467000000

1 1608 64313 411 1150000000

1 1430 55783 403 1028000000

1 1562 57794 390 1100000000

1 1109 37695 391 728000000

1 905 28048 382 558000000

1 1852 81478 410 1467000000

1 901 30617 391 631000000

1 1727 69062 400 1223000000

1 1161 37148 394 761000000

1 1004 37141 400 713000000

1 1216 38912 390 784000000

1 2007 88302 422 1593000000

1 2983 173000 440 2649000000

2 1523 70080 372 1210000000

2 912 28286 370 607000000

2 1343 53715 382 977000000

2 1175 32908 381 700000000

2 1203 40902 393 811000000

2 1393 52951 392 1001000000

2 713 20681 375 468000000

2 1047 37681 411 747000000

2 1506 63270 421 1156000000

2 1642 70624 423 1268000000

2 1848 73936 403 1333000000

2 1627 60190 402 1162000000

2 1301 40321 384 864000000

2 905 25330 405 561000000

2 1727 72514 400 1303000000

2 1414 52318 392 1013000000

2 2001 76022 431 1487000000

2 400 9200 380 263000000

2 3100 102190 454 2112000000

2 1677 83860 410 1519000000

2 2415 130032 420 2045000000

2 1555 46637 410 1025000000

2 792 20596 420 540000000

Question 7

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Run a regression model to estimate the cost of a building using average story height (mean centered), total floor area (mean centered), and construction type (dummy coded) as predictors.

Which of the following is correct about the intercept?

Select one:

a. It is the expected cost of a steel building with an average story height and an average total area.

b. It is the expected cost of a reinforced concrete building with an average story height and an average total area.

c. It is the expected cost of a steel building with a story height of 0 cm and an average total area.

d. It is the expected cost of a reinforced concrete building with an average story height and a total area of 0 m2.

Question 8

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Run a regression model to estimate the cost of a building using average story height (mean centered), total floor area (mean centered), and construction type (dummy coded) as predictors.

According to the model, is it significantly more expensive (at .05 level) to build a steel building compared to a reinforced concrete building, holding everything else constant?

Select one:

a. no

b. yes

Question 9

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Run a regression model to estimate the cost of a building using average story height (mean centered), total floor area (mean centered), and construction type (dummy coded) as predictors.

Which of the following is wrong about the slope of story height?

Select one:

a. it is the expected change in the predicted building cost for a one unit change in story height, holding total area and construction type constant.

b. Has a positive relationship with the cost of building

c. Has a negative relationship with the cost of building

Question 10

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Run a regression model to estimate the cost of a building using average story height (mean centered), total floor area (mean centered), and construction type (dummy coded) as predictors.

Which of the following is wrong about the slope of total area?

Select one:

a. it is the expected change in the predicted building cost for a one unit change in total area, in holding story height and construction type constant.

b. Has a positive relationship with the cost of building

c. Has a negative relationship with the cost of building

Answer 1

(7) b. It is the expected cost of a reinforced concrete building with an average story height and an average total area.

(8) a. no

since the Type is not significant as its p-value is more than alpha=0.05

(9) c. Has a negative relationship with the cost of building

since there is positive regression coefficient

(10) c. Has a negative relationship with the cost of building

since there is positive regression coefficient

following regression analysis information has been generated for given data

ANOVA

source	df	Sum of	Mean	F	p
		Squares	Square
Model	4	8.70E+18	2.18E+18	2146.02	<.0001
Error	32	3.24E+16	1.01E+15
Corrected Total	36	8.73E+18
Parameter Estimates
Variable	df	Parameter	Standard	t	p
		Estimate	Error
Intercept	1	-388788335	153818403	-2.53	0.0166
type	1	19730530	10970251	1.8	0.0815
Afloor	1	341520	29679	11.51	<.0001
Tfloor	1	9216.6825	477.48413	19.3	<.0001
height	1	997663	419168	2.38	0.0234