Use exponential regression to fit the following data set. (Round your answers to two decimal places.)x411151718y1.017.387.6197.1295.6A)Give the exponential model.a) y = 0.24 × 1.80xb )y = 0.20 × 1.50xc) y = 0.18 × 0.90xd) y = 0.14 × 2.10xe) y = 0.28 × 1.05x B) Use the model found above to calculate y(8).y(8) = C) Solve y = 268 for x.x =

Explanation: Given that, Use exponential regression to fit the following data set. (Round your…

Answered: Use exponential regression to fit the…

Use exponential regression to fit the following data set. (Round your answers to two decimal places.) x 4 11 15 17 18 y 1.0 17.3 87.6 197.1 295.6

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...

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Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

Use exponential regression to fit the following data set. (Round your answers to two decimal places.)

x	4	11	15	17	18
y	1.0	17.3	87.6	197.1	295.6

A)Give the exponential model.

a) y = 0.24 × 1.80^x

b )y = 0.20 × 1.50^x

c) y = 0.18 × 0.90^x

d) y = 0.14 × 2.10^x

e) y = 0.28 × 1.05^x

B) Use the model found above to calculate y(8).
y(8) =

C) Solve y = 268 for x.
x =

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