Decision-Science – NMIMS Solved Assignment_April_2021

Dear students, get latest Solved assignments and case study help by professionals.

Mail us at : help.mbaassignments@gmail.com

Call us at : 08263069601

NMIMS Global Access

School for Continuing Education (NGA-SCE)

Course:Decision Science

Internal Assignment Applicable for April 2021 Examination

Assignment Marks: 30

1. Considering Y as a dependent variable, a regression model is applied with three independent variables X1 X2 and X3. The results of the regression analysis are shown below:

Model	R	R Square	Adjusted R Square
1		.969a	.939		.930
			ANOVAa
Model		Sum of Squares	df		Mean Square	F	Sig.
	Regression	1123.258		3	374.419	97.893	.000b
1	Residual	72.671		19	3.825
	Total	1195.929		22

a. Dependent Variable: Y

b. Predictors: (Constant), X5, X3, X4

		Coefficientsa
Model	Unstandardized Coefficients	Standardized	t	Sig.
			Coefficients
	B	Std. Error	Beta
(Constant)	35.681	3.399		10.496	.000
X3	-.654	.158	-.986	-4.151	.001
1
X4	.233	.054	1.111	4.275	.000
X5	.115	.024	.806	4.749	.000

a. Dependent Variable: Y

Answer the following:

1.    Define R and R Square.

• What is the significance of F test.

• Which variable has the highest impact on Y.

• Write the regression equation.

• Calculate Y if X₁= 10, X₂ =20 and X₃ =5

(10 Marks)

• The monthly sales (number of Cars sold) is recorded of a car dealer. Following ungrouped 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

a. Prepare the frequency distribution table showing the class interval (less than 10, 11 to 20, and so on), frequency of each class interval and 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. It is estimated that 50% of emails are spam emails. Some software has been applied to filter these spam emails before they reach your inbox. A certain brand of software claims

that it can detect 99% of spam emails, and the probability for a false positive (a non-spam email detected as spam) is 5%. Now if an email is detected as spam, then what is the

probability that it is in fact a non-spam email?                                                                                (5 Marks)

3.b. The time taken to assemble a car in a certain plant is a random variable having a normal distribution of 20 hours and a standard deviation of 2 hours. What is the probability that a car can be assembled at this plant in a period of time

1. less than 19.5 hours?

• between 20 and 22 hours?

(5 Marks)

Dear students, get latest Solved assignments and case study help by professionals.

Mail us at : help.mbaassignments@gmail.com

Call us at : 08263069601

**********