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vichka [17]
3 years ago
6

The management of a chain electronic store would like to develop a model for predicting the weekly sales (in thousands of dollar

s) for individual stores based on the number of customers who made purchases. A random sample of 12 stores yields the following results:
Customers | Sales (Thousands of Dollars)
907 | 11.2
926 | 11.05
713 | 8.21
741 | 9.21
780 | 9.42
898 | 10.08
510 | 6.73
529 | 7.02
460 | 6.12
872 | 9.52
650 | 7.53
603 | 7.25

(a) Estimate a linear regression. What are the values of the estimated intercept and slope? Show how you obtain your answer.

Business
1 answer:
NNADVOKAT [17]3 years ago
4 0

Answer

The answer and procedures of the exercise are attached in the following archives.

Explanation  

You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.  

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irina1246 [14]

Answer:

a). I would adopt the increase in market share in the suburbs by 15 % since the number of final suburbs dwellers who will use my product is (0.0805 x) which is  greater than final city dwellers' (0.075 x)

b). The total percentage of people who are city dwellers who own your product before the new sales drive=46.15%

Explanation:

a). We can make the following expressions;

Total number of both city dwellers and suburb dwellers=x

City dwellers=30% of x=(30/100)×x=0.3 x

Suburb dweller=70% of x=(70/100)×x=0.7 x

Total number of city dwellers who use your product initially=(20/100)×0.3 x=0.06 x

Total number of suburb dwellers who use your product initially=(10/100)×0.7 x=0.07 x

If we increase the market share in the suburbs by 15%

Number of suburb dwellers=0.07 x+(15/100)×0.07 x

Number of suburb dwellers=(0.07 x+0.0105 x)=0.0805 x

If we increase market share in the city by 25%

Number of city dwellers=0.06 x+(25/100)×0.06 x

Number of city dwellers=(0.06 x+0.015 x)=0.075 x

I would adopt the increase in market share in the suburbs by 15 % since the number of final suburbs dwellers who will use my product is (0.0805 x) which is  greater than final city dwellers' (0.075 x)

b). Percentage of city dwellers that own your product

Percentage=(Initial number of city dwellers/Total number of people)×100

Percentage=0.06 x/(0.06 x+0.07 x)=(0.06 x/0.13 x)×100=46.15%

The total percentage of people who are city dwellers who own your product before the new sales drive=46.15%

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Answer:

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Explanation:

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P=present value
F=future value=500
n=number of years=2
i=annual interest rate=3%

We have
F=P(1+i)^n
=>
P=F/(1+i)^n
=500/(1.03^2)
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Answer:

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Explanation:

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