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). 3 12 16 26 150 36 200 45 48 70 100 A USE SALT Complete parts (a) through (e), given Ex = 95, Ey = 613, Ex2 = 2385, Ey2 = 81,729, Exy = 13,774, andr = 0.9918. (a) Draw a scatter diagram displaying the data. 210 Graph Layers 200 After you add an object to the graph you can use Graph Layers to view and edit its 190 180 properties. 160 Fill 140 130 120 110 No Solution 90 80 70 60 40 O Hele WebAssign. Graphing Tool (b) Verify the given sums Ex, Ey, Ex², £y², £xy, and the value of the sample correlation coefficient r. (Round your value forr to four decimal places.) Ex = Ey = Ex² = Ey? - Σxy (c) Find x, and y. Then find the equation of the least-squares line 9 = a + bx. (Round your answers to four decimal places.) y3=

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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).
2
3
12
16
26
150
36
y | 45
48
70
100
200
A USE SALT
Complete parts (a) through (e), given Ex = 95, Ey = 613, Ex²
2385, Σy2
%3D
= 81,729, Exy = 13,774, and r - 0.9918.
(a) Draw a scatter diagram displaying the data.
210
Graph Layers
200
190
After you add an object to the graph you
180
can use Graph Layers to view and edit its
170
properties.
160
Fill
150
140
130
120
110
100
No
Solution
90
80
70
60
50
40
+30
O Help
20
25
30
35
10
15
40
WebAssign. Graphing Tool
(b) Verify the given sums Ex, Ey, Ex², Ey², Exy, and the value of the
sample correlation coefficient r. (Round your value for r to four decimal
places.)
Ex =
Ey =
Ex² =
Ey? =
Exy =
(c) Find x, and y. Then find the equation of the least-squares line ŷ = a
+ bx. (Round your answers to four decimal places.)
x =
y =
ŷ =
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). 2 3 12 16 26 150 36 y | 45 48 70 100 200 A USE SALT Complete parts (a) through (e), given Ex = 95, Ey = 613, Ex² 2385, Σy2 %3D = 81,729, Exy = 13,774, and r - 0.9918. (a) Draw a scatter diagram displaying the data. 210 Graph Layers 200 190 After you add an object to the graph you 180 can use Graph Layers to view and edit its 170 properties. 160 Fill 150 140 130 120 110 100 No Solution 90 80 70 60 50 40 +30 O Help 20 25 30 35 10 15 40 WebAssign. Graphing Tool (b) Verify the given sums Ex, Ey, Ex², Ey², Exy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Ex = Ey = Ex² = Ey? = Exy = (c) Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answers to four decimal places.) x = y = ŷ =
(d) Graph the least-squares line. Be sure to plot the point (x, y) as a
point on the line.
y
200
200아
150아
150-
100아
100
50
50
10
20
30
40
10
20
30
40
y
y
200아
200
150
150
100
100
50
50
X
10
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40
(e) Find the value of the coefficient of determination r2. What
percentage of the variation in y can be explained by the corresponding
variation in x and the least-squares line? What percentage is
unexplained? (Round your answer for r2 to four decimal places. Round
your answers for the percentages to two decimal place.)
12 =
explained
unexplained
%
(f) The calves you want to buy are 11 weeks old. What does the least-
squares line predict for a healthy weight? (Round your answer to two
decimal places.)
kg
Transcribed Image Text:(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. y 200 200아 150아 150- 100아 100 50 50 10 20 30 40 10 20 30 40 y y 200아 200 150 150 100 100 50 50 X 10 20 30 40 10 20 30 40 (e) Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r2 to four decimal places. Round your answers for the percentages to two decimal place.) 12 = explained unexplained % (f) The calves you want to buy are 11 weeks old. What does the least- squares line predict for a healthy weight? (Round your answer to two decimal places.) kg
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