Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)

4th Edition

ISBN: 9780133178579

Author: Ross L. Finney

Publisher: PEARSON

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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, Problem 66RE

To determine

To find an exponential regression equation for the (t,T) data. Superimpose its graph on a scatter plot of the data.

Expert Solution

Answer to Problem 66RE

The exponential regression equation for the data is, T=9.15(1+9.54e−0.12t) .

Explanation of Solution

Given information:

A temperature probe is removed from a cup of hot chocolate and placed in water whose temperature is (Ts) is 0 degree C. and Data below,

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy), Chapter 7, Problem 66RE , additional homework tip 1

Calculation: The graph is,

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy), Chapter 7, Problem 66RE , additional homework tip 2

Hence, the exponential regression equation for the data is, T=9.15(1+9.54e−0.12t) .

To determine

To estimate when the temperature probe will read 40 degree C.

Expert Solution

Answer to Problem 66RE

After 8.67 seconds the temperature probe will read 40 degree C.

Explanation of Solution

Given information:

A temperature probe is removed from a cup of hot chocolate and placed in water whose temperature is (Ts) is 0 degree C. and Data below,

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy), Chapter 7, Problem 66RE , additional homework tip 3

Calculation: The required time is obtained as,

T=9.15(1+9.54e−0.12t)40=9.15(1+9.54e−0.12t)9.54e−0.12t=3.37 t=8.67

Hence, after 8.67 seconds the temperature probe will read 40 degree C.

To determine

To estimate the hot chocolate’s temperature when the temperature probe was removed.

Expert Solution

Answer to Problem 66RE

The required temperature is 96.44 degree C.

Explanation of Solution

Given information:

A temperature probe is removed from a cup of hot chocolate and placed in water whose temperature is (Ts) is 0 degree C. and Data below,

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy), Chapter 7, Problem 66RE , additional homework tip 4

Calculation: The required temperature is obtained as,

T=9.15(1+9.54e−0.12t)T=9.15(1+9.54)T=96.44

Hence, the required temperature is 96.44 degree C.

Chapter 7, Problem 65RE

Chapter 7, Problem 67RE

Chapter 7 Solutions

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)

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

Ch. 7.1 - Prob. 11QR Ch. 7.1 - Prob. 12QR 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 - 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