A company is studying the relationship between the mean annual percent return on capital (profitability) (y) and the mean annual percentage sales growth (x) for eight acrospace and defense companies. The data are summarised as follows: n=8, Σx=110.6, Σv=1399, Στ' = 2662.14, Σ., = 2784.65, Σαν=1897.68 (a) (b) (c) (d) Compute the product-moment correlation coefficient for the data. Interpret your result. Obtain the least square regression line equation. Calculate the coefficient of determination for the above data and comment on your answer. Find the value of profitability's percentage when the sales growth is 10 percent.
A company is studying the relationship between the mean annual percent return on capital (profitability) (y) and the mean annual percentage sales growth (x) for eight acrospace and defense companies. The data are summarised as follows: n=8, Σx=110.6, Σv=1399, Στ' = 2662.14, Σ., = 2784.65, Σαν=1897.68 (a) (b) (c) (d) Compute the product-moment correlation coefficient for the data. Interpret your result. Obtain the least square regression line equation. Calculate the coefficient of determination for the above data and comment on your answer. Find the value of profitability's percentage when the sales growth is 10 percent.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![A company is studying the relationship between the mean annual percent return on capital
(profitability) (y) and the mean annual percentage sales growth (x) for eight acrospace and
defense companies. The data are summarised as follows:
n=8, Σχ=1106, Σv=1399, Στ΄ = 2662.14, Στ’ = 2784.65, Σαν =1897.68
(a)
(b)
(d)
Compute the product-moment correlation coefficient for the data. Interpret your
result.
Obtain the least square regression line equation.
Calculate the coefficient of determination for the above data and comment on your
answer.
Find the value of profitability's percentage when the sales growth is 10 percent.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F815eca1b-9148-4753-8a0f-cbaf78e9445b%2Fa4c30286-ac21-4016-9db3-5782055ddc9a%2F9rn7o8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A company is studying the relationship between the mean annual percent return on capital
(profitability) (y) and the mean annual percentage sales growth (x) for eight acrospace and
defense companies. The data are summarised as follows:
n=8, Σχ=1106, Σv=1399, Στ΄ = 2662.14, Στ’ = 2784.65, Σαν =1897.68
(a)
(b)
(d)
Compute the product-moment correlation coefficient for the data. Interpret your
result.
Obtain the least square regression line equation.
Calculate the coefficient of determination for the above data and comment on your
answer.
Find the value of profitability's percentage when the sales growth is 10 percent.
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