11.118 Energy efficiency of buildings. Firms conscious of the energy efficiency of proposed new structures are interested in the relation between yearly energy consumption and the num- ber of square feet of building shell. The table (next page) lists the energy consumption in British thermal units (a BTU is the amount of heat required to raise 1 pound of wa- ter 1°F) for 22 buildings that were all subjected to the same climatic conditions. Consider a straight-line model relating BTU consumption, y, to building shell area, x. a. Find the least squares estimates of the intercept B and the slope B. b. Investigate the usefulness of the model you developed in part a. Is yearly energy consumption positively lin- early related to the shell area of the building? Test using a- .10. e. Find the observed significance level of the test of part b. Interpret its value. BTU

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I need help with b and c, but I would also like to check if my answer for a is right (if you can include it)? Thank you!

 

 

4. Use Minitah
11.118 Energy efficiency of buildings. Firms conscious of the energy
efficiency of proposed new structures are interested in the
relation between yearly energy consumption and the num-
ber of square feet of building shell. The table (next page)
lists the energy consumption in British thermal units (a
BTU is the amount of heat required to raise 1 pound of wa-
ter 1°F) for 22 buildings that were all subjected to the same
climatic conditions. Consider a straight-line model relating
BTU consumption, y, to building shell area, x.
a. Find the least squares estimates of the intercept Bo
and the slope B1.
b. Investigate the usefulness of the model you developed
in part a. Is yearly energy consumption positively lin-
carly related to the shell area of the building? Test
using a = .10.
e. Find the observed significance level of the test of part
b. Interpret its value.
BTU
Transcribed Image Text:4. Use Minitah 11.118 Energy efficiency of buildings. Firms conscious of the energy efficiency of proposed new structures are interested in the relation between yearly energy consumption and the num- ber of square feet of building shell. The table (next page) lists the energy consumption in British thermal units (a BTU is the amount of heat required to raise 1 pound of wa- ter 1°F) for 22 buildings that were all subjected to the same climatic conditions. Consider a straight-line model relating BTU consumption, y, to building shell area, x. a. Find the least squares estimates of the intercept Bo and the slope B1. b. Investigate the usefulness of the model you developed in part a. Is yearly energy consumption positively lin- carly related to the shell area of the building? Test using a = .10. e. Find the observed significance level of the test of part b. Interpret its value. BTU
BTU
Area
3870000
30001
1371000
13530
2422000
26060
672200
6355
233100
4576
218900
24680
354000
2621
3135000
23350
1470000
18770
1408000
12220
2201000
25490
2680000
23680
337500
5650
567500
8001
555300
6147
239400
2660
2629000
19240
1102000
10700
423500
9125
423500
6510
1691000
13530
1870000
18860
Transcribed Image Text:BTU Area 3870000 30001 1371000 13530 2422000 26060 672200 6355 233100 4576 218900 24680 354000 2621 3135000 23350 1470000 18770 1408000 12220 2201000 25490 2680000 23680 337500 5650 567500 8001 555300 6147 239400 2660 2629000 19240 1102000 10700 423500 9125 423500 6510 1691000 13530 1870000 18860
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