Concept explainers
a.
To find: an exponential model and a power model for the data and identify the coefficient of determination for each model using the regression feature of a graphing utility.
a.
Answer to Problem 30E
Exponential model:
Power model:
Explanation of Solution
Given information: The table shows the numbers of third-party skills S available for
Amazon’s Alexa in six consecutive three-month periods beginning with the first quarter
of 2016.
t | Skills, S |
1 | 135 |
2 | 1,000 |
3 | 3,000 |
4 | 5,000 |
5 | 10,000 |
6 | 15,000 |
Calculation:
Using the graphing utility, the exponential model of the above table data is:
Using the graphing utility, the power model of the above table data is:
b.
To graph: each model with the data using the graphing utility.
b.
Answer to Problem 30E
Explanation of Solution
Given information: Exponential model:
Power model:
Calculation:
The graph of Exponential model:
The graph of Power model:
c.
To find: which model fits the data better.
c.
Answer to Problem 30E
The power model fits the data better because
Explanation of Solution
Given information:
Calculation:
The power model fits the data better because
Chapter 3 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning