3rd Edition

ISBN: 9781285607160

Author: Larson

Publisher: CENGAGE CO

Concept explainers

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

The number of prescriptions by using graphing utility.

Expert Solution

Answer to Problem 53E

P=0.52t+14.42 and P=0.39t+16.87 .

Explanation of Solution

Given information:

The number of prescriptions P (in thousands) filled at two pharmacies from 2009 through 2013 are shown in table.

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

(a) Use a graphing utility to create a scatter plot of the data for pharmacy A and find a linear model. Let t represent the year, with t=9 corresponding to 2009 .Repeat the procedure for pharmacy B.

Calculation:

For pharmacy A, the linear model is:

P=0.52t+14.42

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

For pharmacy B, the linear model is:

P=0.39t+16.87

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

Thus, the equations of pharmacy A and pharmacy B are P=0.52t+14.42 and P=0.39t+16.87 .

To determine

The number of prescriptions of pharmacy A exceeds that of pharmacy B in next five years.

Expert Solution

Answer to Problem 53E

Yes, 2019 .

Explanation of Solution

Given information:

The number of prescriptions P (in thousands) filled at two pharmacies from 2009 through 2013 are shown in table.

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

(b) Assuming that the numbers for the given five years are representative of future years, will the number of prescriptions filled at pharmacy A ever exceed the number of prescriptions filled at pharmacy B? If so, then when?

Calculation:

From the given information, equate the two models from part (a):

P=0.52t+14.42 (1)P=0.39t+16.87 (2)0.52t+14.42=0.39t+16.870.52t−0.39t=16.87−14.420.13t=2.45t≈19(2019) .

Thus, the solution is 2019 .

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

Ch. 7.1 - Prob. 11E Ch. 7.1 - Prob. 12E Ch. 7.1 - Prob. 13E Ch. 7.1 - Prob. 14E Ch. 7.1 - Prob. 15E Ch. 7.1 - Prob. 16E Ch. 7.1 - Prob. 17E Ch. 7.1 - Prob. 18E Ch. 7.1 - Prob. 19E Ch. 7.1 - Prob. 20E Ch. 7.1 - Prob. 21E Ch. 7.1 - Prob. 22E Ch. 7.1 - Prob. 23E Ch. 7.1 - Prob. 24E Ch. 7.1 - Prob. 25E Ch. 7.1 - Prob. 26E Ch. 7.1 - Prob. 27E Ch. 7.1 - Prob. 28E Ch. 7.1 - Prob. 29E Ch. 7.1 - Prob. 30E Ch. 7.1 - Prob. 31E Ch. 7.1 - Prob. 32E Ch. 7.1 - Prob. 33E Ch. 7.1 - Prob. 34E Ch. 7.1 - Prob. 35E Ch. 7.1 - Prob. 36E Ch. 7.1 - Prob. 37E Ch. 7.1 - Prob. 38E Ch. 7.1 - Prob. 39E Ch. 7.1 - Prob. 40E Ch. 7.1 - Prob. 41E Ch. 7.1 - Prob. 42E Ch. 7.1 - Prob. 43E Ch. 7.1 - Prob. 44E Ch. 7.1 - Prob. 45E Ch. 7.1 - Prob. 46E Ch. 7.1 - Prob. 47E Ch. 7.1 - Prob. 48E Ch. 7.1 - Prob. 49E Ch. 7.1 - Prob. 50E Ch. 7.1 - Prob. 51E Ch. 7.1 - Prob. 52E Ch. 7.1 - Prob. 53E Ch. 7.1 - Prob. 54E Ch. 7.1 - Prob. 55E Ch. 7.1 - Prob. 56E Ch. 7.1 - Prob. 57E Ch. 7.1 - Prob. 58E Ch. 7.1 - Prob. 59E Ch. 7.1 - Prob. 60E Ch. 7.1 - 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