(b) Verify the given sums Ex, Ey, Ex², £y², Ex y, and the value of the sample correlation coefficient r. (For each answer, enter a number. Round your value for r to three decimal places.) Ex = Ey = Ex² = Ey? = Σxy - r= (c) Find x, and y. Then find the equation of the least-squares line ŷ = a + b x. (For each answer, enter a number. Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.) y =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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(b) Verify the given sums Ex, Ey, Ex², Ey², Ex y, and the value of the sample correlation coefficient r. (For each answer, enter a number. Round your value for r to three decimal places.)
Σχ=
Ey =
Σχ2
Ey? =
Σχ y =
r =
(c) Find x, and y. Then find the equation of the least-squares line ŷ = a + b x. (For each answer, enter a number. Round your answers for x and y to two decimal places. Round your
answers for a and b to three decimal places.)
X =
V =
+
| X
I| I|
<>
Transcribed Image Text:(b) Verify the given sums Ex, Ey, Ex², Ey², Ex y, and the value of the sample correlation coefficient r. (For each answer, enter a number. Round your value for r to three decimal places.) Σχ= Ey = Σχ2 Ey? = Σχ y = r = (c) Find x, and y. Then find the equation of the least-squares line ŷ = a + b x. (For each answer, enter a number. Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.) X = V = + | X I| I| <>
You are the foreman of the Bar-S cattle ranch in Colorado. A neighboring ranch has calves for sale, and you are going to buy some calves to add to the Bar-S herd. How much should a
healthy calf weigh? Let x be the age of the calf (in weeks), and let y be the weight of the calf (in kilograms).
1
11
16
26
36
y
39
47
73
100
150
200
Complete parts (a) through (e), given Ex = 95, Ey = 609, Ex² = 2375, Ey? = 81,559, Ex y = 13,777, and rz 0.997.
(a) Make a scatter diagram of the data. (Select the correct graph.)
СHOICE A
СHOICE B
y
200
200
150
150
100
100
50
50
X
10
20
30
40
10
20
30
40
СHOICE C
СHOICE D
y
y
200
200
150
150
100
100
50
50
X
10
20
30
40
10
20
30
40
Transcribed Image Text:You are the foreman of the Bar-S cattle ranch in Colorado. A neighboring ranch has calves for sale, and you are going to buy some calves to add to the Bar-S herd. How much should a healthy calf weigh? Let x be the age of the calf (in weeks), and let y be the weight of the calf (in kilograms). 1 11 16 26 36 y 39 47 73 100 150 200 Complete parts (a) through (e), given Ex = 95, Ey = 609, Ex² = 2375, Ey? = 81,559, Ex y = 13,777, and rz 0.997. (a) Make a scatter diagram of the data. (Select the correct graph.) СHOICE A СHOICE B y 200 200 150 150 100 100 50 50 X 10 20 30 40 10 20 30 40 СHOICE C СHOICE D y y 200 200 150 150 100 100 50 50 X 10 20 30 40 10 20 30 40
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