= 12.3 The Regression Equation XE Rounding Numbers Calculator XxyzHomework Assessment+ → C AA https://www.xyzhomework.com80%Listed below are paired data consisting of amounts spent on advertising (in millions of dollars) and the profits (in 3-millions of dollars). Determine if there is a significant linear correlation between advertising cost and profit .Use a significance level of 0.01 and round all values to 4 decimal places.Advertising CostProfit321422186.2330833231031Ho: p = 0Ha: p # 0Find the Linear Correlation Coefficientr=Find the p-valuep-value =The p-value isO Less than (or equal to) aO Greater than aThe p-value leads to a decișion toReject HoO Accept HoO Do Not Reject Hosignificvotersp. The nThe conclusion isThere is a significant positive linear correlation between advertising expense and profit.O There is a significant negative linear correlation between advertising expense and profit.There ie n cianifiannt linaar corralation betuaem aduaticina axnanca and neofitF9F10F11F12F8

Given the data; Advertising cost(X) profit(Y) XY X2 Y2 3 21 63 9 441 4 22 88 16 484 5 18 90…

Answered: Listed below are paired data consisting…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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= 12.3 The Regression Equation X
E Rounding Numbers Calculator X
xyzHomework Assessment
+ → C A
A https://www.xyzhomework.com
80%
Listed below are paired data consisting of amounts spent on advertising (in millions of dollars) and the profits (in 3-
millions of dollars). Determine if there is a significant linear correlation between advertising cost and profit .
Use a significance level of 0.01 and round all values to 4 decimal places.
Advertising Cost
Profit
3
21
4
22
18
6.
23
30
8
33
23
10
31
Ho: p = 0
Ha: p # 0
Find the Linear Correlation Coefficient
r=
Find the p-value
p-value =
The p-value is
O Less than (or equal to) a
O Greater than a
The p-value leads to a decișion to
Reject Ho
O Accept Ho
O Do Not Reject Ho
signific
voters
p. The n
The conclusion is
There is a significant positive linear correlation between advertising expense and profit.
O There is a significant negative linear correlation between advertising expense and profit.
There ie n cianifiannt linaar corralation betuaem aduaticina axnanca and neofit
F9
F10
F11
F12
F8

Expert Solution

Step 1

Given the data;

Advertising cost(X)	profit(Y)	XY	X²	Y²
3	21	63	9	441
4	22	88	16	484
5	18	90	25	324
6	23	138	36	529
7	30	210	49	900
8	33	264	64	1089
9	23	207	81	529
10	31	310	100	961
52	201	1370	380	5257

Correlation coefficient is given by-

$r = \frac{n (\sum_{} x y) - (\sum_{} x) (\sum_{} y)}{\sqrt{[n \sum_{} x^{2} - {(\sum_{} x)}^{2}] [n \sum_{} y^{2} - {(\sum_{} y)}^{2}]}}$

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