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This sheet provides some information from a random sample of 100 solar installation projects by SD Solar during 2020. The company would like to find
This sheet provides some information from a random sample of 100 solar installation projects by SD Solar during 2020. | ||||||||
The company would like to find a model to estimate Electricity Generation based on 1) number of panels installed, | ||||||||
2) energy score (categorical variable), 3) house size, and 4) pre-installation consumption. | ||||||||
a) Create a multiple regression model to estimate electricity generation based on the above mentioned factors. | ||||||||
b) Check the necessary conditions for residuals and multicollinearity. Is there any non-significant factor. | ||||||||
c) Now remove all the non-significant variables and create another model with only significant factors. Is this model a better model, why? | ||||||||
A sample of solar installation projects by SD SOLAR in the past year. | ||||||||
Number | House Size (SQFT) | Energy Score (1-10) | Pre-install Consumption (KW) | Number of Panels installed | Electricity Generation (KW) | Cost of Installation ($) | ||
1 | 1746 | L8 | 441 | 16 | 544 | 17140 | ||
2 | 1093 | L8 | 517 | 19 | 494 | 16100 | ||
3 | 1755 | L9 | 349 | 14 | 420 | 12350 | ||
4 | 1745 | L10 | 313 | 13 | 338 | 12300 | ||
5 | 1784 | L10 | 400 | 15 | 465 | 15480 | ||
6 | 1721 | L7 | 406 | 15 | 435 | 15170 | ||
7 | 1957 | L10 | 481 | 19 | 570 | 18300 | ||
8 | 1254 | L10 | 235 | 11 | 286 | 12280 | ||
9 | 1964 | L7 | 481 | 17 | 425 | 15410 | ||
10 | 1634 | L9 | 647 | 23 | 621 | 26220 | ||
11 | 1431 | L7 | 515 | 18 | 576 | 14940 | ||
12 | 1733 | L7 | 284 | 11 | 341 | 10080 | ||
13 | 1483 | L8 | 279 | 10 | 300 | 9140 | ||
14 | 1438 | L8 | 497 | 19 | 608 | 18850 | ||
15 | 1478 | L8 | 457 | 18 | 450 | 18710 | ||
16 | 2103 | L9 | 481 | 18 | 594 | 17370 | ||
17 | 1833 | L8 | 781 | 28 | 700 | 28680 | ||
18 | 1684 | L9 | 509 | 19 | 570 | 17220 | ||
19 | 1828 | L8 | 334 | 12 | 372 | 10700 | ||
20 | 1974 | L10 | 552 | 22 | 682 | 21610 | ||
21 | 1372 | L8 | 410 | 17 | 527 | 18790 | ||
22 | 2160 | L10 | 851 | 29 | 812 | 33700 | ||
23 | 1666 | L8 | 317 | 12 | 360 | 10410 | ||
24 | 1866 | L9 | 383 | 13 | 390 | 10500 | ||
25 | 1114 | L7 | 392 | 14 | 434 | 16500 | ||
26 | 1729 | L9 | 763 | 26 | 806 | 29460 | ||
27 | 1763 | L7 | 601 | 22 | 638 | 23100 | ||
28 | 1561 | L9 | 633 | 23 | 621 | 20040 | ||
29 | 1177 | L9 | 428 | 17 | 425 | 15320 | ||
30 | 2093 | L7 | 671 | 24 | 672 | 25950 | ||
31 | 1491 | L9 | 306 | 12 | 420 | 11870 | ||
32 | 1498 | L9 | 449 | 16 | 528 | 13300 | ||
33 | 1855 | L8 | 558 | 21 | 672 | 17730 | ||
34 | 1437 | L10 | 446 | 16 | 480 | 14760 | ||
35 | 1566 | L10 | 407 | 15 | 465 | 16140 | ||
36 | 2005 | L8 | 383 | 16 | 464 | 19030 | ||
37 | 1116 | L9 | 357 | 13 | 338 | 11590 | ||
38 | 2068 | L7 | 483 | 17 | 561 | 19450 | ||
39 | 1638 | L8 | 202 | 9 | 279 | 8660 | ||
40 | 1686 | L8 | 493 | 18 | 576 | 17930 | ||
41 | 1963 | L7 | 521 | 21 | 714 | 18360 | ||
42 | 1512 | L7 | 421 | 15 | 495 | 15210 | ||
43 | 1744 | L10 | 500 | 19 | 475 | 21610 | ||
44 | 1650 | L7 | 193 | 9 | 297 | 9790 | ||
45 | 1270 | L10 | 375 | 13 | 338 | 15550 | ||
46 | 1738 | L7 | 330 | 12 | 396 | 13000 | ||
47 | 1599 | L7 | 650 | 25 | 825 | 23700 | ||
48 | 1235 | L10 | 448 | 16 | 544 | 18130 | ||
49 | 1479 | L10 | 261 | 11 | 352 | 11000 | ||
50 | 2008 | L10 | 431 | 18 | 630 | 16440 | ||
51 | 1984 | L9 | 430 | 16 | 528 | 16000 | ||
52 | 1835 | L7 | 721 | 27 | 864 | 27680 | ||
53 | 1548 | L10 | 227 | 10 | 260 | 8930 | ||
54 | 2016 | L8 | 571 | 22 | 660 | 25370 | ||
55 | 1285 | L8 | 416 | 17 | 544 | 17040 | ||
56 | 1990 | L9 | 775 | 29 | 754 | 26370 | ||
57 | 2067 | L7 | 625 | 23 | 644 | 20290 | ||
58 | 2265 | L7 | 727 | 26 | 728 | 24290 | ||
59 | 1599 | L8 | 461 | 16 | 480 | 16480 | ||
60 | 1773 | L8 | 487 | 17 | 578 | 15470 | ||
61 | 1690 | L8 | 587 | 23 | 575 | 18770 | ||
62 | 2064 | L10 | 484 | 18 | 540 | 15340 | ||
63 | 1674 | L7 | 582 | 22 | 638 | 17600 | ||
64 | 1866 | L8 | 704 | 25 | 675 | 29230 | ||
65 | 2026 | L10 | 400 | 16 | 528 | 14560 | ||
66 | 2083 | L10 | 642 | 25 | 700 | 21580 | ||
67 | 1389 | L8 | 206 | 8 | 272 | 7790 | ||
68 | 1881 | L10 | 484 | 17 | 442 | 19420 | ||
69 | 1696 | L10 | 659 | 23 | 598 | 21850 | ||
70 | 2041 | L9 | 323 | 13 | 338 | 13560 | ||
71 | 1452 | L10 | 191 | 9 | 297 | 8540 | ||
72 | 1482 | L9 | 385 | 15 | 390 | 17760 | ||
73 | 1715 | L9 | 656 | 25 | 750 | 23900 | ||
74 | 2148 | L7 | 379 | 14 | 476 | 12300 | ||
75 | 2009 | L10 | 394 | 16 | 512 | 13810 | ||
76 | 1659 | L9 | 404 | 17 | 595 | 15640 | ||
77 | 1214 | L10 | 564 | 22 | 638 | 23370 | ||
78 | 1472 | L10 | 501 | 19 | 532 | 20050 | ||
79 | 1624 | L10 | 649 | 23 | 713 | 27240 | ||
80 | 1638 | L7 | 514 | 19 | 532 | 15680 | ||
81 | 1552 | L9 | 505 | 20 | 540 | 19360 | ||
82 | 1608 | L9 | 254 | 9 | 315 | 8700 | ||
83 | 2369 | L7 | 744 | 27 | 729 | 23390 | ||
84 | 1118 | L9 | 423 | 16 | 544 | 15300 | ||
85 | 1055 | L9 | 556 | 20 | 520 | 18800 | ||
86 | 1712 | L7 | 386 | 16 | 544 | 18310 | ||
87 | 1962 | L10 | 325 | 13 | 377 | 12760 | ||
88 | 1551 | L8 | 254 | 11 | 319 | 12650 | ||
89 | 1980 | L10 | 383 | 16 | 432 | 18530 | ||
90 | 2184 | L9 | 425 | 15 | 465 | 16130 | ||
91 | 2100 | L9 | 510 | 19 | 646 | 17860 | ||
92 | 2300 | L7 | 842 | 29 | 899 | 28800 | ||
93 | 1480 | L10 | 430 | 15 | 495 | 14990 | ||
94 | 1045 | L8 | 318 | 12 | 420 | 11550 | ||
95 | 1493 | L7 | 449 | 17 | 578 | 14680 | ||
96 | 2077 | L10 | 523 | 20 | 680 | 19260 | ||
97 | 1716 | L8 | 378 | 16 | 464 | 14080 | ||
98 | 1962 | L10 | 430 | 16 | 544 | 15520 | ||
99 | 1092 | L7 | 580 | 20 | 520 | 16680 | ||
100 | 1836 | L10 | 362 | 15 | 405 | 12710 | ||
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