A company wants to use data it has collected to predict customer satisfaction (as a percentage) based on the price of its product. The company uses polynomial regression to produce the mode are satisfied with their purchase price, p. The coefficient of determination for this model is ? = 0.95. LAAS(p) 1.2 08 0.6 04 0.2 -1 8 10 11 12 13 14 -0.2 Does the polynomial model appropriately fit the data? O No, it does not appropriately fit the data because the data appear to be concave down and decreasing. O Yes, it appropriately fits the data because the data appear to be concave down and decreasing. O Yes, it appropriately fits the data because the points are all close to the curve, and 2 is so close to 1. O No, it does not appropriately fit the data because there is a curve to the data, and 2 is close to 1.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 22PFA
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A company wants to use data it has collected to predict customer satisfaction (as a percentage) based on the price of its product. The company uses polynomial regression to produce the model shown below, where S is the percentage of customers who
are satisfied with their purchase price, p. The coefficient of determination for this model is ? = 0.95.
1.4 A S (p )
1.2
0.8
0.6
0.4
0.2
-1
2
4
5
6.
7
9.
10
11
12
13
14
-0.2
Does the polynomial model appropriately fit the data?
O No, it does not appropriately fit the data because the data appear to be concave down and decreasing.
Yes, it appropriately fits the data because the data appear to be concave down and decreasing.
O Yes, it appropriately fits the data because the points are all close to the curve, and ? is so close to 1.
O No, it does not appropriately fit the data because there is a curve to the data, and 2 is close to 1.
Transcribed Image Text:A company wants to use data it has collected to predict customer satisfaction (as a percentage) based on the price of its product. The company uses polynomial regression to produce the model shown below, where S is the percentage of customers who are satisfied with their purchase price, p. The coefficient of determination for this model is ? = 0.95. 1.4 A S (p ) 1.2 0.8 0.6 0.4 0.2 -1 2 4 5 6. 7 9. 10 11 12 13 14 -0.2 Does the polynomial model appropriately fit the data? O No, it does not appropriately fit the data because the data appear to be concave down and decreasing. Yes, it appropriately fits the data because the data appear to be concave down and decreasing. O Yes, it appropriately fits the data because the points are all close to the curve, and ? is so close to 1. O No, it does not appropriately fit the data because there is a curve to the data, and 2 is close to 1.
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