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December 2020 batch.
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Course: Decision Science
Internal Assignment Applicable for December 2020 Examination
1. The data of two variables X and Y is given below:
TABLE BELOW
Y |
X |
3 |
45 |
4 |
56 |
5 |
54 |
6 |
56 |
7 |
57 |
6 |
58 |
6 |
67 |
6 |
68 |
7 |
76 |
7 |
76 |
8 |
78 |
9 |
79 |
12 |
80 |
13 |
81 |
15 |
84 |
17 |
89 |
a. Calculate the correlation between X and Y
b. Apply the regression between X and Y (as dependent variable)
c. Estimate the R square
d. Predict Y when X = 50
(10 Marks)
2. Following ungrouped data of Sales of a company (in millions) is
available
52 |
33 |
70 |
95 |
57 |
61 |
57 |
64 |
54 |
94 |
38 |
61 |
50 |
39 |
94 |
63 |
59 |
31 |
68 |
88 |
93 |
48 |
82 |
82 |
74 |
70 |
92 |
76 |
98 |
91 |
32 |
33 |
31 |
75 |
54 |
48 |
36 |
64 |
63 |
66 |
92 |
98 |
36 |
54 |
71 |
86 |
84 |
55 |
91 |
34 |
64 |
67 |
89 |
78 |
97 |
92 |
53 |
56 |
68 |
55 |
93 |
42 |
51 |
77 |
36 |
93 |
44 |
66 |
63 |
33 |
68 |
79 |
83 |
53 |
86 |
76 |
35 |
40 |
55 |
41 |
36 |
39 |
42 |
96 |
60 |
53 |
38 |
51 |
95 |
56 |
48 |
69 |
49 |
33 |
95 |
37 |
83 |
62 |
96 |
34 |
85 |
32 |
39 |
59 |
77 |
62 |
35 |
34 |
54 |
89 |
36 |
45 |
83 |
34 |
39 |
61 |
88 |
86 |
55 |
33 |
69 |
54 |
30 |
38 |
79 |
77 |
95 |
34 |
38 |
91 |
80 |
90 |
88 |
45 |
95 |
71 |
80 |
43 |
61 |
40 |
31 |
61 |
58 |
53 |
91 |
63 |
60 |
94 |
98 |
53 |
50 |
34 |
75 |
74 |
90 |
98 |
a. Make the frequency distribution table with appropiate class
interval, frequency,
cumulative frequency.
b. Calculate the mean, median, mode and quartiles of grouped data.
c. Calculate the standard deviation, variance and range
d. Make the following diagrams:
Histogram, Frequency Polygon, Ogive (10 Marks)
3.a. For a certain type of
computers, the length of time between charges of the battery is normally
distributed with a mean of 50 hours and a standard deviation of 15 hours. Mr Y
owns one of these computers and wants to know the probability that the length
of time will be between 50 and 70 hours. (5 Marks)
3.b. The length of life of an
instrument produced by a machine has a normal distribution with a mean of 12
months and standard deviation of 2 months. Find the probability that an
instrument produced by this machine will last (a) Less than 7 months (b)
Between 7 and 12 months (5 Marks)
Dear students, get fully solved assignments of NMIMS University for
December 2020 batch.
Do send your query at:
Call us at: 08263069601
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