A company decides to develop a model to estimate the cost of production based on the quantity of products in a day. They collected the following data Quantity Produced: 20 35 50 65 80 95 110 Cost (Pesos): 642 766 858 928 1,005 1,078 1,140 a. Develop a linear regression model based on the data. b. What is the correlation coefficient, r? c. What is the expected cost if the quantity produced is 70 units? d. What is the expected quantity produced if the cost is 1.120 pesos?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2CYU
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A company decides to develop a model to estimate the cost of production based on the quantity of products in a day. They collected the following data:
Quantity Produced: 20
35
50
65
80
95
110
Cost (Pesos):
642
766
858
928
1,005 1,078
1,140
a. Develop a linear regression model based on the data.
b. What is the correlation coefficient, r?
c. What is the expected cost if the quantity produced is 70 units?
d. What is the expected quantity produced if the cost is 1,120 pesos?
Transcribed Image Text:A company decides to develop a model to estimate the cost of production based on the quantity of products in a day. They collected the following data: Quantity Produced: 20 35 50 65 80 95 110 Cost (Pesos): 642 766 858 928 1,005 1,078 1,140 a. Develop a linear regression model based on the data. b. What is the correlation coefficient, r? c. What is the expected cost if the quantity produced is 70 units? d. What is the expected quantity produced if the cost is 1,120 pesos?
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