Joe works for a landscaping company. He is cutting lengths of plastic edging for flower beds. For circular beds, he knows the desired diameter of the bed and must cut the correct length of edging to fit around the perimeter of the circle. His boss supplied him with this table. Diameter (m) Length of Edging (m) 3.14 2 6.28 3 9.42 4. 12.57 5n 15.71 6. 18.85 21.99 25.13 a. Explain how you can tell that there is a linear relationship from the table of values. b. Based off the Desmos graph and information provided, what is the regression equation? Explain what each variable represents! c. Use your regression equation to determine the length of edging required for a flower bed with a diameter of 37 m.
Joe works for a landscaping company. He is cutting lengths of plastic edging for flower beds. For circular beds, he knows the desired diameter of the bed and must cut the correct length of edging to fit around the perimeter of the circle. His boss supplied him with this table. Diameter (m) Length of Edging (m) 3.14 2 6.28 3 9.42 4. 12.57 5n 15.71 6. 18.85 21.99 25.13 a. Explain how you can tell that there is a linear relationship from the table of values. b. Based off the Desmos graph and information provided, what is the regression equation? Explain what each variable represents! c. Use your regression equation to determine the length of edging required for a flower bed with a diameter of 37 m.
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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Graphical Models Assignment
Regression Analysis
Linear Models
1.
Joe works for a landscaping company. He is cutting lengths of plastic edging for flower
beds. For circular beds, he knows the desired diameter of the bed and must cut the
correct length of edging to fit around the perimeter of the circle. His boss supplied him
with this table.
Diameter (m) Length of Edging (m)
1
3.14
2
6.28
9.42
12.57
15.71
6
18.85
21.99
8
25.13
a. Explain how you can tell that there is a linear relationship from the table of values.
b. Based off the Desmos graph and information provided, what is the regression equation?
Explain what each variable represents!
c. Use your regression equation to determine the length of edging required for a flower
bed with a diameter of 37 m.
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