An advertising firm wishes to demonstrate to its clients the effectiveness of the advertising campaigns it has conducted. The following bivariate data on twelve recent campaigns, including the cost of each campaign (denoted by x, in millions of dollars) and the resulting percentage increase in sales (denoted by y) following the campaign, were presented by the firm. A scatter plot of the data is shown in Figure 1. Also given is the product of the campaign cost and the percentage increase in sales for each of the twelve campaigns. (These products, written in the column labelled "xy", may aid in calculations.) Campaign Increase in cost, x (in millions of dollars) sales, y (pеrcent) xy 2.22 6.57 14.5854 3.58 6.83 24.4514 2.82 6.53 18.4146 2.18 6.49 14.1482 3.89 6.98 27.1522 3.75 6.86 25.725 3.27 6.53 21.3531 1.66 6.18 10.2588 1.68 6.55 11.004 Campaign cost (in millions of dollars) 2.12 6.80 14.416 1.11 6.32 7.0152 Figure 1 2.85 6.90 19.665 Send data to calculator Send data to Excel What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least three decimal places. (If necessary, consult a list of formulas.) Increase in sales (percent)
An advertising firm wishes to demonstrate to its clients the effectiveness of the advertising campaigns it has conducted. The following bivariate data on twelve recent campaigns, including the cost of each campaign (denoted by x, in millions of dollars) and the resulting percentage increase in sales (denoted by y) following the campaign, were presented by the firm. A scatter plot of the data is shown in Figure 1. Also given is the product of the campaign cost and the percentage increase in sales for each of the twelve campaigns. (These products, written in the column labelled "xy", may aid in calculations.) Campaign Increase in cost, x (in millions of dollars) sales, y (pеrcent) xy 2.22 6.57 14.5854 3.58 6.83 24.4514 2.82 6.53 18.4146 2.18 6.49 14.1482 3.89 6.98 27.1522 3.75 6.86 25.725 3.27 6.53 21.3531 1.66 6.18 10.2588 1.68 6.55 11.004 Campaign cost (in millions of dollars) 2.12 6.80 14.416 1.11 6.32 7.0152 Figure 1 2.85 6.90 19.665 Send data to calculator Send data to Excel What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least three decimal places. (If necessary, consult a list of formulas.) Increase in sales (percent)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:An advertising firm wishes to demonstrate to its clients the effectiveness of the advertising campaigns it has conducted. The following bivariate data on twelve
recent campaigns, including the cost of each campaign (denoted by x, in millions of dollars) and the resulting percentage increase in sales (denoted by y)
following the campaign, were presented by the firm. A scatter plot of the data is shown in Figure 1. Also given is the product of the campaign cost and the
percentage increase in sales for each of the twelve campaigns. (These products, written in the column labelled "xy", may aid in calculations.)
Campaign
Increase in
cost, x
(in millions of
dollars)
sales, y
(percent)
ху
2.22
6.57
14.5854
7.2+
3.58
6.83
24.4514
7+
2.82
6.53
18.4146
6.8+
2.18
6.49
14.1482
6.6+
3.89
6.98
27.1522
6.4+
3.75
6.86
25.725
6.2-
3.27
6.53
21.3531
1.66
6.18
10.2588
1.5
2,5
3.5
1.68
6.55
11.004
Campaign cost
(in millions of dollars)
2.12
6.80
14.416
1.11
6.32
7.0152
Figure 1
2.85
6.90
19.665
Send data to calculator
Send data to Excel
What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least
three decimal places. (If necessary, consult a list of formulas.)
Increase in sales
(percent)
Transcribed Image Text:campaign cost
(in millions of dollars)
14.416
1.11
6.32
7.0152
Figure 1
2.85
6.90
19.665
Send data to calculator
Send data to Excel
What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least
three decimal places. (If necessary, consult a list of formulas.)
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