Question: NMIMS Global AccessSchool for Continuing Education (NGA-SCE)Course: Decision ScienceInternal Assignment Applicable for September2020ExaminationAssignment Marks: 30 Instructions: All Questions carry equal marks.All Questions are compulsoryAll answers

NMIMS Global AccessSchool for Continuing Education (NGA-SCE)Course: Decision ScienceInternal Assignment Applicable for September2020ExaminationAssignment Marks: 30 Instructions: All Questions carry equal marks.All Questions are compulsoryAll answers to be explained in not more than 1000 wordsfor question 1 and 2 and for question 3 in not more than 500 words for each subsection. Use relevant examples, illustrations as far as possible.All answers to be written individually. Discussion and group work is not advisable. Students are free to refer to any books/reference material/website/internet for attempting their assignments, but are not allowed to copy the matter as it is from the source of reference. Students should write the assignment in their own words. Copying of assignments from other students is not allowed. Students should follow the following parameter for answering the assignment questions.The data set given in Table1is having variables namely,house price of unit area (Y),house age (X1), distance to nearest MRT station (X2), number of convenience stores (X3), latitude (X4), and longitude (X5). Table 1:Data SetTable BelowFor Theoretical AnswerAssessment ParameterWeightageIntroduction20%Concepts and Application related to the question60%Conclusion20%For Numerical AnswerAssessment ParameterWeightageUnderstanding and usage of the formula20%Procedure / Steps50%Correct Answer & Interpretation30%NMIMS Global AccessSchool for Continuing Education (NGA-SCE)Course: Decision ScienceInternal Assignment Applicable for September2020ExaminationS.No.X1X2X3X4X5Y16.490.45606924.97433121.543162.2217.5964.7496424.98872121.5341138.2312.7170.1289124.97371121.5298432.941.1193.5845624.96571121.5408954.450208.3905624.95618121.5384445.7632.7392.4459624.96398121.542530.570292.9978624.97744121.5445871817.2189.5181824.97707121.5430847.1912.21360.139124.95204121.5484226.61031.4592.5006224.9726121.5356134.11142147.376324.96299121.5128428.4128.1104.8101524.96674121.5406751.61333.3196.6172724.97701121.5422439.4149.92102.427324.96044121.5146223.11514.8393.2606624.96172121.538127.61630.6143.8383824.98155121.5414253.31720.6737.9161224.98092121.5473946.41830.96396.283124.94375121.4788312.21913.64197.349024.93885121.50383132025.31583.722324.96622121.5170930.62116.6289.3248524.98203121.5434859.62213.3492.2313524.96515121.5373731.32313.6492.2313524.96515121.53737482431.5414.9476424.98199121.5446432.5250185.4296024.9711121.531745.5269.9279.1726724.97528121.5454157.4271.1193.5845624.96571121.5408948.62838.6804.6897424.97838121.5347762.9293.8383.8624524.98085121.54391553041.3124.9912624.96674121.5403960.73138.5216.8329724.98086121.54162413229.6535.527824.98092121.5365337.53342147.376324.96299121.5128430.73426.6482.7581524.97433121.5386337.53518373.3937824.9866121.5408239.53633.4186.9686624.96604121.5421142.23718.91009.235024.96357121.5495120.8NMIMS Global AccessSchool for Continuing Education (NGA-SCE)Course: Decision ScienceInternal Assignment Applicable for September2020Examination3811.4390.5684524.97937121.5424546.83913.6319.0708624.96495121.5427747.44010942.4664024.97843121.5240643.54112.9492.2313524.96515121.5373742.54216.2289.3248524.98203121.5434851.4435.11559.827324.97213121.5162728.94419.8640.6071524.97017121.5464737.54513.6492.2313524.96515121.5373740.14611.91360.139124.95204121.5484228.4472.1451.2438524.97563121.5469445.5480185.4296024.9711121.531752.2493.2489.8821824.97017121.5449443.25016.43780.59024.93293121.5120345.15134.9179.4538824.97349121.5424539.75235.8170.7311724.96719121.5426948.5534.9387.7721924.98118121.5378844.754121360.139124.95204121.5484228.9556.5376.1709624.95418121.5371340.95616.94066.587024.94297121.5034220.75713.84082.015024.94155121.5038115.65830.71264.73024.94883121.5295418.35916.1815.9314424.97886121.5346435.66011.6390.5684524.97937121.5424539.46115.5815.9314424.97886121.5346437.4623.549.66105824.95836121.5375657.86319.2616.4004324.97723121.5376739.664164066.587024.94297121.5034211.6658.5104.8101524.96674121.5406755.5660185.4296024.9711121.531755.26713.71236.564124.97694121.5539130.6680292.9978624.97744121.5445873.66928.2330.0854824.97408121.5401143.47027.6515.1122524.96299121.543237.4718.41962.628124.95468121.5548123.572244527.687024.94741121.4962814.4733.6383.8624524.98085121.5439158.8746.690.45606924.97433121.543158.17541.3401.8807424.98326121.544635.1764.3432.0385724.9805121.5377845.27730.2472.1745324.97005121.5375836.5NMIMS Global AccessSchool for Continuing Education (NGA-SCE)Course: Decision ScienceInternal Assignment Applicable for September2020Examination7813.94573.779024.94867121.4950719.27933181.0766924.97697121.54262428013.11144.436424.99176121.5345636.78114438.8513124.97493121.527342.68226.94449.27024.94898121.4962115.58311.6201.8939824.98489121.5412155.98413.52147.376324.96299121.5128423.685174082.015024.94155121.5038118.88614.12615.465024.95495121.5617421.88731.41447.286324.97285121.517321.58820.92185.128324.96322121.5123725.7898.93078.176024.95464121.56627229034.8190.0392824.97707121.5431244.39116.34066.587024.94297121.5034220.59235.3616.5735824.97945121.5364242.39313.2750.0704224.97371121.5495137.89443.857.58945724.9675121.5406942.7959.7421.479524.98246121.5447749.39615.23771.895024.93363121.5115829.39715.2461.1016524.95425121.539934.69822.8707.9067224.981121.5471336.69934.4126.7286824.96881121.5408948.210034157.6052724.96628121.5419639.11.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.(10Marks)

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.(10Marks)

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

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