From this question I have to determine 1) what the independent and dependent variables are 2) state the estimated regression equation (in terms of the problem) using the given output. 3) what the interpretation for the slope of the regression line is 4) using the regression equation, predict the sales for a store with 3.4 million customers in it. Is this extrapolation or interpolation? 5) if I were to compute the 99% confidence interval for the slope of the regression line, what would the t critical value be? 6) the 99% confidence interval for the slope of the regression line in the above problem is? 7) assume that the number of customers increases by 2 million. What will be the range of values for the average increase in annual sales of the store? You may use the confidence interval from above to answer  8) is the corrrelation between number of customers and sales positive or negative? Why? 9) if the sales for a store with 2.2 million customers on it is 3.5 thousand dollars, what would the residual be?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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From this question I have to determine

1) what the independent and dependent variables are

2) state the estimated regression equation (in terms of the problem) using the given output.

3) what the interpretation for the slope of the regression line is

4) using the regression equation, predict the sales for a store with 3.4 million customers in it. Is this extrapolation or interpolation?

5) if I were to compute the 99% confidence interval for the slope of the regression line, what would the t critical value be?

6) the 99% confidence interval for the slope of the regression line in the above problem is?

7) assume that the number of customers increases by 2 million. What will be the range of values for the average increase in annual sales of the store? You may use the confidence interval from above to answer 

8) is the corrrelation between number of customers and sales positive or negative? Why?

9) if the sales for a store with 2.2 million customers on it is 3.5 thousand dollars, what would the residual be?

 

Assume that you are the business director of planning of Sunflowers Apparel, a chain of upscale
fashion stores for women. Your business objective is to forecast annual sales for all new stores,
based on the number of profiled customers who live no more than 30 minutes from a Sunflowers
store. To examine the relationship between the number of profiled customers (in millions) who live
within the fixed radius from a Sunflowers store and its annual sales (dollar millions), data were
collected from a random sample of 14 stores. The data are given below. Note: For convenience, we
use "customers" to denote the number of profiled customers who live no more than 30 minutes
from a Sunflowers store.
Store
4
19
10
11
12
13
14
Sales
5.7
5.9
6.7
9.5
5.4 3.5
6.2 4.7
6.1
10.7
7.6
11.8 4.1
4.9
CustomerS
3.7
3.6
2.8
5.6
3.3
2.2
3.3
3.1
3.2
3.5
5.2
4.6
5.8
3.0
A simple linear regression model was fitted to the above data. Partial output from a statistical
software follows.
L value Pr(>|)
Estimate Std. Error
-1.2088
(Intercept)
Customers
0.9949
1.22
0.248
2.0742
0.2536
8.18
0.000
MacBook Pro
Transcribed Image Text:Assume that you are the business director of planning of Sunflowers Apparel, a chain of upscale fashion stores for women. Your business objective is to forecast annual sales for all new stores, based on the number of profiled customers who live no more than 30 minutes from a Sunflowers store. To examine the relationship between the number of profiled customers (in millions) who live within the fixed radius from a Sunflowers store and its annual sales (dollar millions), data were collected from a random sample of 14 stores. The data are given below. Note: For convenience, we use "customers" to denote the number of profiled customers who live no more than 30 minutes from a Sunflowers store. Store 4 19 10 11 12 13 14 Sales 5.7 5.9 6.7 9.5 5.4 3.5 6.2 4.7 6.1 10.7 7.6 11.8 4.1 4.9 CustomerS 3.7 3.6 2.8 5.6 3.3 2.2 3.3 3.1 3.2 3.5 5.2 4.6 5.8 3.0 A simple linear regression model was fitted to the above data. Partial output from a statistical software follows. L value Pr(>|) Estimate Std. Error -1.2088 (Intercept) Customers 0.9949 1.22 0.248 2.0742 0.2536 8.18 0.000 MacBook Pro
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