a. Explanation Given information: The numbers of prescriptions P (in thousands) filled at two pharmacies from 2012 through 2016 are shown in the table. Calculations: Let t represent the year, with t = 12 corresponding to 2012. Graph: Using Desmos graphing utility, we obtain the following results: Conclusion: The linear model that represents the data for pharmacy A is y = 0.52 t − 1027.14 and for pharmacy B is y = 0.39 t − 764.28 . b. To determine To find : The time when the number of prescriptions filled at pharmacy A exceeds the number of prescriptions filled at pharmacy B. Answer The number of prescriptions filled at pharmacy A exceeds the number of prescriptions filled at pharmacy B after the year 2022. Explanation Given information: Use the linear models and the scatter plot that were found in previous part. Graph: Using Desmos graphing utility, Interpretation: From the graph, it is clear that the lines are intersected at the point ( 2022 , 24.3 ) . Therefore, the number of prescriptions filled at pharmacy A exceeds the number of prescriptions filled at pharmacy B after the year 2022.

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ISBN: 9781337516853

Author: Larson

Publisher: CENGAGE CO

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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 p…

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Question

Chapter 7.2, Problem 53E

To determine

To find:The scatter plot of the data for pharmacy A and find the linear model. Repeat the procedure for pharmacy B.

Expert Solution

Explanation of Solution

Given information:

The numbers of prescriptions P (in thousands) filled at two pharmacies from 2012 through 2016 are shown in the table.

EBK PRECALCULUS W/LIMITS, Chapter 7.2, Problem 53E , additional homework tip 1

Calculations:

Let t represent the year, with t=12 corresponding to 2012.

Graph:

Using Desmos graphing utility, we obtain the following results:

EBK PRECALCULUS W/LIMITS, Chapter 7.2, Problem 53E , additional homework tip 2

EBK PRECALCULUS W/LIMITS, Chapter 7.2, Problem 53E , additional homework tip 3

Conclusion:

The linear model that represents the data for pharmacy A is y=0.52t−1027.14 and for pharmacy B is y=0.39t−764.28 .

To determine

To find: The time when the number of prescriptions filled at pharmacy A exceeds the number of prescriptions filled at pharmacy B.

Expert Solution

Answer to Problem 53E

The number of prescriptions filled at pharmacy A exceeds the number of prescriptions filled at pharmacy B after the year 2022.

Explanation of Solution

Given information:

Use the linear models and the scatter plot that were found in previous part.

Graph:

Using Desmos graphing utility,

EBK PRECALCULUS W/LIMITS, Chapter 7.2, Problem 53E , additional homework tip 4

Interpretation:

From the graph, it is clear that the lines are intersected at the point (2022,24.3) . Therefore, the number of prescriptions filled at pharmacy A exceeds the number of prescriptions filled at pharmacy B after the year 2022.

Chapter 7.2, Problem 52E

Chapter 7.2, Problem 54E

Chapter 7 Solutions

EBK PRECALCULUS W/LIMITS

Ch. 7.1 - Prob. 1E Ch. 7.1 - Prob. 2E Ch. 7.1 - Prob. 3E Ch. 7.1 - Prob. 4E Ch. 7.1 - Prob. 5E Ch. 7.1 - Prob. 6E Ch. 7.1 - Prob. 7E Ch. 7.1 - Prob. 8E Ch. 7.1 - Prob. 9E Ch. 7.1 - Prob. 10E

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