Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition
10th Edition
ISBN: 9780134673301
Author: Waits, Foley, Kennedy, Bock Demana
Publisher: PEARSON
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Expert Solution & Answer
Chapter 3.5, Problem 54E
Solution
To plot: The type of regression model suitable for the given data and explain as needed.
The exponential regression model is the best fir for the given data and is given as shown below
Given:
The given data is shown below
| X | Y |
| 1 | 11 |
| 8 | 6 |
| 15 | 4.8 |
| 16 | 4 |
| 17 | 2.5 |
Concept used:
The different types of regression models are shown below
Logarithmic regression model
Linear regression model
Exponential regression model
Where,
Plot:
The data x, y is entered in L1 and L2 and
| L1 (x) | L2 (y) | L3 (lnx) | L4 (lny) |
| 1 | 11 | 0.0000 | 2.3979 |
| 8 | 6 | 2.0794 | 1.7918 |
| 15 | 4.8 | 2.7081 | 1.5686 |
| 16 | 4 | 2.7726 | 1.3863 |
| 17 | 2.5 | 2.8332 | 0.9163 |
Using the data of
Using the data of
Using the data of x and
Interpretation:
With reference to scatterplots, the plot of x and
Calculation:
Press STAT button in the calculator and go to CALC menu to select Exp Reg option. Select the appropriate data from the lists and the following regression model output and its plot are observed.
Conclusion:
The given data has a best fit exponential regression model with equation
Chapter 3 Solutions
Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition
Ch. 3.1 - Prob. 1QRCh. 3.1 - Prob. 2QRCh. 3.1 - Prob. 3QRCh. 3.1 - Prob. 4QRCh. 3.1 - Prob. 5QRCh. 3.1 - Prob. 6QRCh. 3.1 - Prob. 7QRCh. 3.1 - Prob. 8QRCh. 3.1 - Prob. 9QRCh. 3.1 - Prob. 10QR
Ch. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10ECh. 3.1 - Prob. 11ECh. 3.1 - Prob. 12ECh. 3.1 - Prob. 13ECh. 3.1 - Prob. 14ECh. 3.1 - Prob. 15ECh. 3.1 - Prob. 16ECh. 3.1 - Prob. 17ECh. 3.1 - Prob. 18ECh. 3.1 - Prob. 19ECh. 3.1 - Prob. 20ECh. 3.1 - Prob. 21ECh. 3.1 - Prob. 22ECh. 3.1 - Prob. 23ECh. 3.1 - Prob. 24ECh. 3.1 - Prob. 25ECh. 3.1 - Prob. 26ECh. 3.1 - Prob. 27ECh. 3.1 - Prob. 28ECh. 3.1 - Prob. 29ECh. 3.1 - Prob. 30ECh. 3.1 - Prob. 31ECh. 3.1 - Prob. 32ECh. 3.1 - Prob. 33ECh. 3.1 - Prob. 34ECh. 3.1 - Prob. 35ECh. 3.1 - Prob. 36ECh. 3.1 - Prob. 37ECh. 3.1 - Prob. 38ECh. 3.1 - Prob. 39ECh. 3.1 - Prob. 40ECh. 3.1 - Prob. 41ECh. 3.1 - Prob. 42ECh. 3.1 - Prob. 43ECh. 3.1 - Prob. 44ECh. 3.1 - Prob. 45ECh. 3.1 - Prob. 46ECh. 3.1 - Prob. 47ECh. 3.1 - Prob. 48ECh. 3.1 - Prob. 49ECh. 3.1 - Prob. 50ECh. 3.1 - Prob. 51ECh. 3.1 - Prob. 52ECh. 3.1 - Prob. 53ECh. 3.1 - 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ISBN:9781319050740
Author:Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:9781337552516
Author:Ron Larson, Bruce H. Edwards
Publisher:Cengage Learning