For the data shown to the right, determine the linear correlation coefficient using the formulas shown below. Compare your answers in part (a) and (b). ΠΙΣ (-x) (1-5) - SxSy a. Use the definition r = b. Use the computing formula r = Σ×y - (Σχ) (Σ») π [Σx? - (Σ×)*′n] [Σ? - (Σ»), n] x 13520 0 - y 570 0 - 3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 7E
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Gap is;

much larger than/much smaller than/roughly the same as

Find the sum Ex².
Ex = ]
(Type an integer or a decimal. Do not round.)
Find the sum Σy.
Σy-Π
(Type an integer or a decimal. Do not round.)
Determine the value of r.
(Type an integer or decimal rounded to three decimal places as needed.)
The value in part (a) is
the value in part (b).
Transcribed Image Text:Find the sum Ex². Ex = ] (Type an integer or a decimal. Do not round.) Find the sum Σy. Σy-Π (Type an integer or a decimal. Do not round.) Determine the value of r. (Type an integer or decimal rounded to three decimal places as needed.) The value in part (a) is the value in part (b).
For the data shown to the right, determine the linear correlation coefficient using the formulas shown below. Compare your answers in part (a) and (b).
ΠΙΤΣ (-x) (1-5)
n-1
SxSy
a. Use the definition r =
b. Use the computing formula r =
a. Find the sum Σ(-x) (yi-5).
Σ(-x) (1-5) =D
(Type an integer or a decimal. Do not round.)
Determine the value of r.
r-
Σ×yi - (Σ×i) (Σyi) / n
[Σx - (Σ×)2′n] [Σy - (Σy)2′n]
/n
(Type an integer or decimal rounded to three decimal places as needed.)
Σχ.
b. Find the sum
Ex==
(Type an integer or a decimal. Do not round.)
Find the sum
ΣΥ.
Σy=Π
(Type an integer or a decimal. Do not round.)
Find the sum Exy
Σχy ==
(Type an integer or a decimal. Do not round.)
...
X 3520 0
y
5700-3
Transcribed Image Text:For the data shown to the right, determine the linear correlation coefficient using the formulas shown below. Compare your answers in part (a) and (b). ΠΙΤΣ (-x) (1-5) n-1 SxSy a. Use the definition r = b. Use the computing formula r = a. Find the sum Σ(-x) (yi-5). Σ(-x) (1-5) =D (Type an integer or a decimal. Do not round.) Determine the value of r. r- Σ×yi - (Σ×i) (Σyi) / n [Σx - (Σ×)2′n] [Σy - (Σy)2′n] /n (Type an integer or decimal rounded to three decimal places as needed.) Σχ. b. Find the sum Ex== (Type an integer or a decimal. Do not round.) Find the sum ΣΥ. Σy=Π (Type an integer or a decimal. Do not round.) Find the sum Exy Σχy == (Type an integer or a decimal. Do not round.) ... X 3520 0 y 5700-3
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