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Math 533

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MATH 533: Applied Managerial Statistics
Course Project –Part A

I. Introduction. SALESCALL Inc. is a company with thousands of salespeople. The data provided; SALES (the number of sales made this week), CALLS (the number of sales calls made this week), TIME (the average time per call this week), YEARS (years of experience in the call center) and TYPE (the type of training, either group training, online training of no training). The data is used to determine the most productive sales person. With this information the company can tailor it’s training to achieve the greatest number of sales.

II. Individual Variables.

1. Sales

Descriptive Statistics: SALES

Total
Variable Count Mean StDev Variance Minimum Q1 Median Q3
SALES 100 42.340 4.171 17.398 32.000 39.250 42.000 45.000

N for
Variable Maximum Range IQR Mode Mode
SALES 52.000 20.000 5.750 44 12

Data for sales made in a week for SALESCALL Inc. shows that an average of 42 sales are made. The company can expect to have as few as 32 and up to 52 sales in a week. From the data gathered the company can expect to see the average sales made. Looking at the Histogram above shows sale have a bell shaped curve.

2. Calls
Descriptive Statistics: CALLS

Total
Variable Count Mean StDev Variance Minimum Q1 Median Q3
CALLS 100 162.09 18.01 324.53 124.00 149.00 160.50 176.75

N for
Variable Maximum Range IQR Mode Mode
CALLS 201.00 77.00 27.75 149 6
23445222434534355

The table and Pie Chart shows 33 % of the number of calls made by each sales person were from 134 to 178 calls in a week. The mean of the remaining calls is 169. The minimum number of calls made was 124 and the maximum was 201.

3. Time
Descriptive Statistics: TIME

Total
Variable Count Mean StDev Variance Minimum Q1 Median Q3
TIME 100 15.341 2.415 5.833 10.000 13.500 15.050 17.000

N for
Variable Maximum Range IQR Mode Mode
TIME 21.600 11.600 3.500 14.6, 14.8

The box plot and table represent the average time of a call. The median, 15.050, and mead, 15.341, are very close which shows that the average of a sales call can be expected to last 15 units. The whiskers of the Boxplot show that the shortest call was 10 units, while the longest call was 21.6 units of time.

III. Pairing of Variables

1. Sales and Calls

Descriptive Statistics: SALES, CALLS

Total
Variable Count Mean StDev Variance Minimum Q1 Median Q3
SALES 100 42.340 4.171 17.398 32.000 39.250 42.000 45.000
CALLS 100 162.09 18.01 324.53 124.00 149.00 160.50 176.75

N for
Variable Maximum Range IQR Mode Mode
SALES 52.000 20.000 5.750 44 12
CALLS 201.00 77.00 27.75 149 6

Regression Analysis: SALES versus CALLS

The regression equation is
SALES = 9.638 + 0.2018 CALLS

S = 2.05708 R-Sq = 75.9% R-Sq(adj) = 75.7%

Analysis of Variance

Source DF SS MS F P
Regression 1 1307.75 1307.75 309.05 0.000
Error 98 414.69 4.23

Sale and number of calls are compared above. The data shows that the number of calls has a correlation with the number of calls made. The more calls made will generate more sales. To achieve the mean of 42 sales it can be expected that 162 calls must be made.

2. Sales and Type

Descriptive Statistics: SALES

Total
Variable TYPE Count Mean StDev Variance Minimum Q1 Median
SALES GROUP 30 40.833 2.086 4.351 37.000 39.000 41.000 NONE 20 37.100 2.245 5.042 32.000 36.250 37.000 ONLINE 50 45.340 2.973 8.841 41.000 43.000 45.000

N for
Variable TYPE Q3 Maximum Range IQR Mode Mode
SALES GROUP 43.000 44.000 7.000 4.000 40, 41, 43 5 NONE 39.000 40.000 8.000 2.750 37 7 ONLINE 48.000 52.000 11.000 5.000 44 9

Sales and the type of training are compared in the above table and boxplot. The most effective sales person has received online training. The maximum of sales made, 52, were made by the online trained. This is followed by group training and no training respectfully. The online trained had the largest variance of 8.8 of the three groups. The majority of online trained made sales from 42 to 48.

3. Sales and Time
Descriptive Statistics: SALES, TIME

Total
Variable Count Mean StDev Variance Minimum Q1 Median Q3
SALES 100 42.340 4.171 17.398 32.000 39.250 42.000 45.000
TIME 100 15.341 2.415 5.833 10.000 13.500 15.050 17.000

N for
Variable Maximum Range IQR Mode Mode
SALES 52.000 20.000 5.750 44 12
TIME 21.600 11.600 3.500 14.6, 14.8 4

Sales and time are paired above and show that sales start to decline the longer a sales person is on a call. The mean of time is 15.341 units of time. The maximum amount of time was 21.6 units. The most productive time spent on calls is between 13 and 17 units of time.

IV. Conclusion
In conclusion the most benefit to the company comes from online training and time of call. With this data the company can show that the longer a person stays on a call the probability of a sale declines. The data also shows that the most beneficial training is done online.

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