the LA Times has noticed a decline in its finances They decided to find out the key variables that affect subscriptions (people paying monthly for the newspaper) The subscription manager obtained the following sample information on 30 newspapers in the West. The following are the variables and their explanation. Subscriptions Population Advert Income Fam size Y 37.95 37.66 37.55 38.78 = 37.67 38.23 36.9 38.28 38.95 39.27 38 3 = Subscriptions Population = XI 588.9 585.3 566.3 642.9 624.2 603.9 571.9 584.3 605 676.3 5874 Number of subscriptions (in thousands) The metropolitan population ( in thousands) The advertising budget of the paper (in $ hundreds) The median family income in the metropolitan area (in $ thousands) Median family size (number of people in a family) X2 X3 Advert Income 13.2 13.2 19.8 17.6 17.6 15.4 11 28.6 28.6 17.6 176 35.1 34.7 34.8 35.1 34.6 34.8 34.7 35.3 35.1 35.6 349 X4 Fam size 2 3 2 2 3 3 3 2
the LA Times has noticed a decline in its finances They decided to find out the key variables that affect subscriptions (people paying monthly for the newspaper) The subscription manager obtained the following sample information on 30 newspapers in the West. The following are the variables and their explanation. Subscriptions Population Advert Income Fam size Y 37.95 37.66 37.55 38.78 = 37.67 38.23 36.9 38.28 38.95 39.27 38 3 = Subscriptions Population = XI 588.9 585.3 566.3 642.9 624.2 603.9 571.9 584.3 605 676.3 5874 Number of subscriptions (in thousands) The metropolitan population ( in thousands) The advertising budget of the paper (in $ hundreds) The median family income in the metropolitan area (in $ thousands) Median family size (number of people in a family) X2 X3 Advert Income 13.2 13.2 19.8 17.6 17.6 15.4 11 28.6 28.6 17.6 176 35.1 34.7 34.8 35.1 34.6 34.8 34.7 35.3 35.1 35.6 349 X4 Fam size 2 3 2 2 3 3 3 2
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:the LA Times has noticed a decline in its finances
They
decided to find out the key variables that affect subscriptions (people paying monthly for the newspaper)
The subscription manager obtained the following sample information on 30 newspapers in the West.
The following are the variables and their explanation.
Subscriptions =
Population
Advert
Income
Fam size
Y
37.95
37.66
37.55
38.78
37.67
38.23
36.9
38.28
38.95
39.27
38.3
38.84
38.14
Subscriptions Population
38.39
37.29
39.15
38.29
38.09
37.83
39.37
=
37.81
37.42
38.83
38.33
40.24
40.58
40.95
38.58
38.54
37.59
=
X1
588.9
585.3
566.3
642.9
624.2
603.9
571.9
584.3
605
676.3
587.4
576.4
570.8
586.5
544
611.1
643.3
635.6
598.9
657
595.2
520
629.6
680
651.2
653
700.21
587
589.5
600
Number of subscriptions (in thousands)
The metropolitan population ( in thousands)
The advertising budget of the paper (in $ hundreds)
The median family income in the metropolitan area (in $ thousands)
Median family size (number of people in a family)
X2
X3
Advert Income
13.2
13.2
19.8
17.6
17.6
15.4
11
28.6
28.6
17.6
17.6
22
17.6
15.4
11
24.2
17.6
19.8
15.4
22
15.4
19.8
22
24.2
33
34
37
19.4
13.9
15.8
35.1
34.7
34.8
35.1
34.6
34.8
34.7
35.3
35.1
35.6
34.9
35.4
35
35.5
34.9
35
35.3
34.8
35.1
35.3
35.1
35.1
35.3
34.7
35.8
38
41.2
35.2
36.5
35.9
X4
Fam size
3
2
2
3
2
2
2
3
3
3
2
3
3
3
2
3
3
2
3
3
3
3
3
2
3
3
4
3
3
3
Use the data above to answer the questions below:
a) What is the multiple regression model
b) Interpret your model.
c)
What would be the predicted subscription if the population is 600,000, the advertising budget for the paper is $20,000, the median family income in the area is $ 40,000 an the average family size is 3
At 5% level of significance, is there a significant relationship between the dependent variable and at least one of the independent variables?
d)
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VIEWStep 3: b. Interpret the model:
VIEWStep 4: c. The predicted value of subscription is:
VIEWStep 5: d. is there a significant relationship between the y and at least one of the independent variable
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