NMIMS Ready SEP Assignments - Team Leader Mr. X Claims That The Average Output Of His Team Is 900 Pa

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NMIMS Ready SEP Assignments - Team leader Mr. X claims that the average output of his team is 900 pa
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Decision Science


The data set given in Table 1 is having variables namely, house price of unit area (Y), house age (X1), and distance to nearest MRT station (X2), number of convenience stores (X3), latitude (X4), and longitude (X5).

Table 1: Data Set

Table Below

S.No. X1 X2 X3 X4 X5 Y
1 6.4 90.45606 9 24.97433 121.5431 62.2
2 17.5 964.7496 4 24.98872 121.53411 38.2
3 12.7 170.1289 1 24.97371 121.52984 32.9
4 1.1 193.5845 6 24.96571 121.54089 54.4
5 0 208.3905 6 24.95618 121.53844 45.7
6 32.7 392.4459 6 24.96398 121.5425 30.5
7 0 292.9978 6 24.97744 121.54458 71
8 17.2 189.5181 8 24.97707 121.54308 47.1
9 12.2 1360.139 1 24.95204 121.54842 26.6
10 31.4 592.5006 2 24.9726 121.53561 34.1
11 4 2147.376 3 24.96299 121.51284 28.4
12 8.1 104.8101 5 24.96674 121.54067 51.6
13 33.3 196.6172 7 24.97701 121.54224 39.4
14 9.9 2102.427 3 24.96044 121.51462 23.1
15 14.8 393.2606 6 24.96172 121.53812 7.6
16 30.6 143.8383 8 24.98155 121.54142 53.3
17 20.6 737.9161 2 24.98092 121.54739 46.4
18 30.9 6396.283 1 24.94375 121.47883 12.2
19 13.6 4197.349 0 24.93885 121.50383 13
20 25.3 1583.722 3 24.96622 121.51709 30.6
21 16.6 289.3248 5 24.98203 121.54348 59.6
22 13.3 492.2313 5 24.96515 121.53737 31.3
23 13.6 492.2313 5 24.96515 121.53737 48
24 31.5 414.9476 4 24.98199 121.54464 32.5
25 0 185.4296 0 24.9711 121.5317 45.5
26 9.9 279.1726 7 24.97528 121.54541 57.4
27 1.1 193.5845 6 24.96571 121.54089 48.6
28 38.6 804.6897 4 24.97838 121.53477 62.9
29 3.8 383.8624 5 24.98085 121.54391 55
30 41.3 124.9912 6 24.96674 121.54039 60.7
31 38.5 216.8329 7 24.98086 121.54162 41
32 29.6 535.527 8 24.98092 121.53653 37.5
33 4 2147.376 3 24.96299 121.51284 30.7
34 26.6 482.7581 5 24.97433 121.53863 37.5
35 18 373.3937 8 24.9866 121.54082 39.5
36 33.4 186.9686 6 24.96604 121.54211 42.2
37 18.9 1009.235 0 24.96357 121.54951 20.8

38 11.4 390.5684 5 24.97937 121.54245 46.8
39 13.6 319.0708 6 24.96495 121.54277 47.4
40 10 942.4664 0 24.97843 121.52406 43.5
41 12.9 492.2313 5 24.96515 121.53737 42.5
42 16.2 289.3248 5 24.98203 121.54348 51.4
43 5.1 1559.827 3 24.97213 121.51627 28.9
44 19.8 640.6071 5 24.97017 121.54647 37.5
45 13.6 492.2313 5 24.96515 121.53737 40.1
46 11.9 1360.139 1 24.95204 121.54842 28.4
47 2.1 451.2438 5 24.97563 121.54694 45.5
48 0 185.4296 0 24.9711 121.5317 52.2
49 3.2 489.8821 8 24.97017 121.54494 43.2
50 16.4 3780.59 0 24.93293 121.51203 45.1
51 34.9 179.4538 8 24.97349 121.54245 39.7
52 35.8 170.7311 7 24.96719 121.54269 48.5
53 4.9 387.7721 9 24.98118 121.53788 44.7
54 12 1360.139 1 24.95204 121.54842 28.9
55 6.5 376.1709 6 24.95418 121.53713 40.9
56 16.9 4066.587 0 24.94297 121.50342 20.7
57 13.8 4082.015 0 24.94155 121.50381 15.6
58 30.7 1264.73 0 24.94883 121.52954 18.3
59 16.1 815.9314 4 24.97886 121.53464 35.6
60 11.6 390.5684 5 24.97937 121.54245 39.4
61 15.5 815.9314 4 24.97886 121.53464 37.4
62 3.5 49.66105 8 24.95836 121.53756 57.8
63 19.2 616.4004 3 24.97723 121.53767 39.6
64 16 4066.587 0 24.94297 121.50342 11.6
65 8.5 104.8101 5 24.96674 121.54067 55.5
66 0 185.4296 0 24.9711 121.5317 55.2
67 13.7 1236.564 1 24.97694 121.55391 30.6
68 0 292.9978 6 24.97744 121.54458 73.6
69 28.2 330.0854 8 24.97408 121.54011 43.4
70 27.6 515.1122 5 24.96299 121.5432 37.4
71 8.4 1962.628 1 24.95468 121.55481 23.5
72 24 4527.687 0 24.94741 121.49628 14.4
73 3.6 383.8624 5 24.98085 121.54391 58.8
74 6.6 90.45606 9 24.97433 121.5431 58.1
75 41.3 401.8807 4 24.98326 121.5446 35.1
76 4.3 432.0385 7 24.9805 121.53778 45.2
77 30.2 472.1745 3 24.97005 121.53758 36.5

78 13.9 4573.779 0 24.94867 121.49507 19.2
79 33 181.0766 9 24.97697 121.54262 42
80 13.1 1144.436 4 24.99176 121.53456 36.7
81 14 438.8513 1 24.97493 121.5273 42.6
82 26.9 4449.27 0 24.94898 121.49621 15.5
83 11.6 201.8939 8 24.98489 121.54121 55.9
84 13.5 2147.376 3 24.96299 121.51284 23.6
85 17 4082.015 0 24.94155 121.50381 18.8
86 14.1 2615.465 0 24.95495 121.56174 21.8
87 31.4 1447.286 3 24.97285 121.5173 21.5
88 20.9 2185.128 3 24.96322 121.51237 25.7
89 8.9 3078.176 0 24.95464 121.56627 22
90 34.8 190.0392 8 24.97707 121.54312 44.3
91 16.3 4066.587 0 24.94297 121.50342 20.5
92 35.3 616.5735 8 24.97945 121.53642 42.3
93 13.2 750.0704 2 24.97371 121.54951 37.8
94 43.8 57.58945 7 24.9675 121.54069 42.7
95 9.7 421.479 5 24.98246 121.54477 49.3
96 15.2 3771.895 0 24.93363 121.51158 29.3
97 15.2 461.1016 5 24.95425 121.5399 34.6
98 22.8 707.9067 2 24.981 121.54713 36.6
99 34.4 126.7286 8 24.96881 121.54089 48.2
100 34 157.6052 7 24.96628 121.54196 39.1


1. On the basis of data given in Table 1,
a. Compute the descriptive statistics using the box plot and comment upon the 5 point summary.
b. Construct the histogram for each of Xi’s as well as Y and comment upon the skewness.
c. Compute the standard deviation for X1, X2 and X3. (10 Marks)

2. On the basis of data given in Table 1,
a. Draw the scatter plot of Y with each Xi (i = 1, 2, 3, 4, 5)

b. Find the correlation of Y with each Xi. Also check the significance of correlation coefficient at 5% level of significance for each.

c. Using multiple regression, find the linear regression equation predicting Y on basis of Xi’s (i = 1, 2, 3, 4, 5) and comment upon R square and adjusted R square value.

d. If regression is showing any insignificant variable/s (subpart c), drop the variable/s from the regression equation and run the regression again. Now compare the R square and adjusted R square with the previous model and comment on the same. (10 Marks)

3. Team leader Mr. X claims that the average output of his team is 900 pages per day. To check his claim 50 employees are selected at random and the average output is found at 854 pages with the standard deviation of 42 pages.
a. Construct the null hypothesis and alternate hypothesis for the given problem. (5 Marks)

b. Is the claim of Mr. X true at 5% level of significance? Construct 95% confidence interval for the sample mean. (5 Marks)

For Nmims Assignments Contact
info.answersheets@gmail.com
+91 95030-94040

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