Stats: Modeling the World Nasta Edition Grades 9-12
Stats: Modeling the World Nasta Edition Grades 9-12
3rd Edition
ISBN: 9780131359581
Author: David E. Bock, Paul F. Velleman, Richard D. De Veaux
Publisher: PEARSON
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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 p…
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Chapter PII, Problem 41RE
To determine

To create a model.

Expert Solution & Answer
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Answer to Problem 41RE

  Log( D ^ rain Time)=1.3088−1.9628×log(Plug Dia) .

Explanation of Solution

It is given in the question that most water tanks have a drain plug so that the tank may be emptied when it is to be moved or repaired. The table is given which shows how long it takes a certain size of tank to drain depends on the size of the plug. Thus, for constructing a linear model we will use Excel as we will first select the data in Excel and then go to the insert tab from where we will select the scatterplot option in the charts and when the scatterplot is constructed we will go to the design tab under the chart tools, from where we will select the quick layout option and select the layout with the equation option then the linear model is constructed in the scatterplot as:

  Stats: Modeling the World Nasta Edition Grades 9-12, Chapter PII, Problem 41RE

Thus, the linear model is created as:

  y^=a+bx⇒Log( D ^ rain Time)=1.3088−1.9628×log(Plug Dia)

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Chapter PII Solutions

Stats: Modeling the World Nasta Edition Grades 9-12

Ch. PII - Prob. 1RECh. PII - Prob. 2RECh. PII - Prob. 3RECh. PII - Prob. 4RECh. PII - Prob. 5RECh. PII - Prob. 6RECh. PII - Prob. 7RECh. PII - Prob. 8RECh. PII - Prob. 9RECh. PII - Prob. 10RE
Ch. PII - Prob. 11RECh. PII - Prob. 12RECh. PII - Prob. 13RECh. PII - Prob. 14RECh. PII - Prob. 15RECh. PII - Prob. 16RECh. PII - Prob. 17RECh. PII - Prob. 18RECh. PII - Prob. 19RECh. PII - Prob. 20RECh. PII - Prob. 21RECh. PII - Prob. 22RECh. PII - Prob. 23RECh. PII - Prob. 24RECh. PII - Prob. 25RECh. PII - Prob. 26RECh. PII - Prob. 27RECh. PII - Prob. 28RECh. PII - Prob. 29RECh. PII - Prob. 30RECh. PII - Prob. 31RECh. PII - Prob. 32RECh. PII - Prob. 33RECh. PII - Prob. 34RECh. PII - Prob. 35RECh. PII - Prob. 36RECh. PII - Prob. 37RECh. PII - Prob. 38RECh. PII - Prob. 39RECh. PII - Prob. 40RECh. PII - Prob. 41RECh. PII - Prob. 42RE

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