Introduction To Statistics And Data Analysis

6th Edition

ISBN: 9781337793612

Author: PECK, Roxy.

Publisher: Cengage Learning,

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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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Textbook Question

Chapter 13.1, Problem 2E

Consider the variables and population regression line given in the previous exercise.

a. What is the mean value of gas usage for houses with 2100 sq. ft. of space?
b. What is the average change in usage associated with a 1 sq. ft. increase in size?
c. What is the average change in usage associated with a 100 sq. ft. increase in size?
d. Should the model be used to predict mean usage for a 500 sq. ft. house? Why or why not? (Hint: See the discussion following Example 13.2.)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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Chapter 13.1, Problem 1E

Chapter 13.1, Problem 3E

Chapter 13 Solutions

Introduction To Statistics And Data Analysis

Ch. 13.1 - Let x be the size of a house (in square feet) and...Ch. 13.1 - Consider the variables and population regression...Ch. 13.1 - The flow rate in a device used for air quality...Ch. 13.1 - The paper Predicting Yolk Height, Yolk Width,...Ch. 13.1 - A sample of small cars was selected, and the...Ch. 13.1 - Prob. 6E Ch. 13.1 - Suppose that a simple linear regression model is...Ch. 13.1 - a. Explain the difference between the line y x...Ch. 13.1 - Prob. 9E Ch. 13.1 - Hormone replacement therapy (HRT) is thought to...

Ch. 13.1 - Consider the data and estimated regression line...Ch. 13.1 - A simple linear regression model was used to...Ch. 13.1 - Consider the accompanying data on x = Advertising...Ch. 13.2 - What is the difference between and b? What is the...Ch. 13.2 - The largest commercial fishing enterprise in the...Ch. 13.2 - Prob. 16E Ch. 13.2 - Prob. 17E Ch. 13.2 - Prob. 18E Ch. 13.2 - An experiment to study the relationship between x...Ch. 13.2 - The paper The Effects of Split Keyboard Geometry...Ch. 13.2 - The authors of the paper Decreased Brain Volume in...Ch. 13.2 - Do taller adults make more money? The authors of...Ch. 13.2 - Researchers studying pleasant touch sensations...Ch. 13.2 - Prob. 24E Ch. 13.2 - Acrylamide is a chemical that is sometimes found...Ch. 13.2 - Prob. 26E Ch. 13.2 - Exercise 13.18 described a regression analysis...Ch. 13.2 - Consider the accompanying data on x = Research and...Ch. 13.2 - Prob. 29E Ch. 13.2 - In anthropological studies, an important...Ch. 13.3 - The graphs accompanying this exercise are based on...Ch. 13.3 - Prob. 32E Ch. 13.3 - Prob. 33E Ch. 13.3 - The article Vital Dimensions in Volume Perception:...Ch. 13.3 - Prob. 35E Ch. 13.3 - An investigation of the relationship between x =...Ch. 13.4 - Prob. 37E Ch. 13.4 - Prob. 38E Ch. 13.4 - In Exercise 13.19, we considered a regression of y...Ch. 13.4 - Prob. 40E Ch. 13.4 - A subset of data read from a graph that appeared...Ch. 13.4 - Prob. 42E Ch. 13.4 - Prob. 43E Ch. 13.4 - The article first introduced in Exercise 13.34 of...Ch. 13.4 - The shelf life of packaged food depends on many...Ch. 13.4 - For the cereal data of the previous exercise, the...Ch. 13.4 - The article Performance Test Conducted for a Gas...Ch. 13.5 - Prob. 48E Ch. 13.5 - Prob. 49E Ch. 13.5 - A sample of n = 353 college faculty members was...Ch. 13.5 - Prob. 51E Ch. 13.5 - Prob. 52E Ch. 13.5 - The accompanying summary quantities for x =...Ch. 13.5 - Prob. 54E Ch. 13.5 - Prob. 55E Ch. 13.6 - Prob. 56E Ch. 13 - Prob. 1CRE Ch. 13 - Prob. 2CRE Ch. 13 - Prob. 3CRE Ch. 13 - Prob. 4CRE Ch. 13 - Prob. 5CRE Ch. 13 - The accompanying graphical display is similar to...Ch. 13 - Prob. 7CRE Ch. 13 - Prob. 8CRE Ch. 13 - Consider the following data on y = Number of songs...Ch. 13 - Many people take ginkgo supplements advertised to...Ch. 13 - Prob. 11CRE Ch. 13 - Prob. 12CRE Ch. 13 - Prob. 13CRE Ch. 13 - Prob. 14CRE Ch. 13 - The discharge of industrial wastewater into rivers...Ch. 13 - Many people take ginkgo supplements advertised to...Ch. 13 - It is hypothesized that when homing pigeons are...Ch. 13 - Prob. 18CRE Ch. 13 - Prob. 57CR Ch. 13 - Prob. 58CR Ch. 13 - Prob. 59CR Ch. 13 - The article Photocharge Effects in Dye Sensitized...Ch. 13 - Prob. 61CR Ch. 13 - Prob. 62CR Ch. 13 - Prob. 63CR Ch. 13 - Prob. 64CR Ch. 13 - Prob. 65CR Ch. 13 - The article Improving Fermentation Productivity...Ch. 13 - Prob. 67CR Ch. 13 - Prob. 68CR Ch. 13 - Prob. 69CR

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Solution Summary: The author calculates the mean value of gas usage for houses with 2,100 square feet of space and the average change in usage associated with a 1 square foot increase in size.

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Chapter 13 Solutions