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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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