Explanation Given Information: The table shows the shoe size and the height of the person. Shoe Size Height (inches) Predicted Height 6 62 6 64 7 63 7 64 8 64 8 66 9 67 9 68 10 68 10 70 10 70 Formula used: The correlation coefficient is given by the formula r = n ( ∑ X Y ) − ( ∑ X ) ( ∑ Y ) [ n ∑ X 2 − ( ∑ X ) 2 ] [ n ∑ Y 2 − ( ∑ Y ) 2 ] where X and Y are the data set. Calculation: The correlation coefficient in a scatter plot basically express the strength of the relationship between two variables from which value of one variable appeared at the horizontal axis and value of other exist on vertical axis. X Y X Y X 2 Y 2 6 62 372 36 3844 6 64 384 36 4096 7 63 441 49 3969 7 64 448 49 4096 8 64 512 64 4096 8 66 528 64 4356 9 67 603 81 4489 9 68 612 81 4624 10 68 680 100 4624 10 70 700 100 4900 10 70 700 100 4900 Evaluate the sum of the column X ∑ X = 6 + 6 + 7 + 7 + 8 + 8 + 9 + 9 + 10 + 10 + 10 = 90 Evaluate the sum of the column Y

Pathways to Math Literacy with 18 Week ALEKS Access Card

1st Edition

ISBN: 9781259278723

Author: David Sobecki Professor, Brian A. Mercer

Publisher: McGraw-Hill Education

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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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Chapter 3.6, Problem 6G

To determine

To calculate: The correlation coefficient of the data in the table showing the shoe size and the height of the person.

Shoe Size Height (inches) Predicted Height

6 62

6 64

7 63

7 64

8 64

8 66

9 67

9 68

10 68

10 70

10 70

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Chapter 3.6, Problem 5G

Chapter 3.6, Problem 7G

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Chapter 3 Solutions

Pathways to Math Literacy with 18 Week ALEKS Access Card

Ch. 3.1 - Prob. 0LO Ch. 3.1 - Prob. 1C Ch. 3.1 - Prob. 2C Ch. 3.1 - Prob. 3C Ch. 3.1 - Prob. 4C Ch. 3.1 - Prob. 5C Ch. 3.1 - Prob. 1G Ch. 3.1 - Prob. 2G Ch. 3.1 - Prob. 3G Ch. 3.1 - Prob. 4G

Ch. 3.1 - Prob. 5G Ch. 3.1 - Prob. 6G Ch. 3.1 - Prob. 7G Ch. 3.1 - Prob. 8G Ch. 3.1 - Prob. 9G Ch. 3.1 - Prob. 10G Ch. 3.1 - Prob. 11G Ch. 3.1 - Prob. 12G Ch. 3.1 - Prob. 13G Ch. 3.1 - Prob. 14G Ch. 3.1 - Prob. 15G Ch. 3.1 - Prob. 16G Ch. 3.1 - Prob. 17G Ch. 3.1 - Prob. 1T Ch. 3.1 - Prob. 1R Ch. 3.1 - Prob. 2R Ch. 3.1 - Prob. 3R Ch. 3.1 - Prob. 4R Ch. 3.1 - Prob. 5R Ch. 3.1 - Prob. 1A Ch. 3.1 - Prob. 2A Ch. 3.1 - Prob. 3A Ch. 3.1 - Prob. 4A Ch. 3.1 - Prob. 5A Ch. 3.1 - Prob. 6A Ch. 3.1 - Prob. 7A Ch. 3.2 - Prob. 0LO Ch. 3.2 - Prob. 1C Ch. 3.2 - Prob. 2C Ch. 3.2 - Prob. 3C Ch. 3.2 - Prob. 4C Ch. 3.2 - Prob. 5C Ch. 3.2 - Prob. 6C Ch. 3.2 - Prob. 7C Ch. 3.2 - Prob. 8C Ch. 3.2 - Prob. 9C Ch. 3.2 - Prob. 10C Ch. 3.2 - Prob. 1G Ch. 3.2 - Prob. 2G Ch. 3.2 - Prob. 3G Ch. 3.2 - Prob. 4G Ch. 3.2 - Prob. 5G Ch. 3.2 - Prob. 6G Ch. 3.2 - Prob. 7G Ch. 3.2 - Prob. 8G Ch. 3.2 - Prob. 9G Ch. 3.2 - Prob. 10G Ch. 3.2 - Prob. 11G Ch. 3.2 - Prob. 12G Ch. 3.2 - Prob. 13G Ch. 3.2 - Complete the Applications portion of this lesson...Ch. 3.2 - Prob. 1R Ch. 3.2 - Prob. 2R Ch. 3.2 - Type a short answer to each question. Take another...Ch. 3.2 - Type a short answer to each question. What...Ch. 3.2 - Prob. 1A Ch. 3.2 - Prob. 2A Ch. 3.2 - Prob. 3A Ch. 3.2 - Prob. 4A Ch. 3.2 - Prob. 5A Ch. 3.2 - Prob. 6A Ch. 3.2 - Prob. 7A Ch. 3.3 - Prob. 0LO Ch. 3.3 - Prob. 1G Ch. 3.3 - Prob. 2G Ch. 3.3 - Prob. 3G Ch. 3.3 - Prob. 4G Ch. 3.3 - Prob. 5G Ch. 3.3 - Prob. 6G Ch. 3.3 - Prob. 7G Ch. 3.3 - Prob. 8G Ch. 3.3 - Prob. 9G Ch. 3.3 - Prob. 10G Ch. 3.3 - Prob. 11G Ch. 3.3 - Nice job so far, but did we forget to mention the...Ch. 3.3 - Prob. 13G Ch. 3.3 - Prob. 1C Ch. 3.3 - Prob. 2C Ch. 3.3 - Prob. 3C Ch. 3.3 - Prob. 2R Ch. 3.3 - Type a short answer to each question. Take another...Ch. 3.3 - Prob. 4R Ch. 3.3 - Prob. 1A Ch. 3.3 - Prob. 2A Ch. 3.3 - Prob. 3A Ch. 3.3 - Prob. 4A Ch. 3.3 - Prob. 5A Ch. 3.3 - Prob. 6A Ch. 3.3 - Prob. 7A Ch. 3.4 - Prob. 0LO Ch. 3.4 - Prob. 1G Ch. 3.4 - Prob. 2G Ch. 3.4 - Prob. 3G Ch. 3.4 - Prob. 4G Ch. 3.4 - Prob. 5G Ch. 3.4 - Use your equation to find the mass of each of the...Ch. 3.4 - What is the relationship between the slope of the...Ch. 3.4 - Prob. 8G Ch. 3.4 - Prob. 9G Ch. 3.4 - Prob. 10G Ch. 3.4 - Prob. 11G Ch. 3.4 - Prob. 12G Ch. 3.4 - Divide each distance in your table by the...Ch. 3.4 - Prob. 14G Ch. 3.4 - Prob. 15G Ch. 3.4 - Prob. 16G Ch. 3.4 - Prob. 17G Ch. 3.4 - Prob. 1R Ch. 3.4 - Prob. 2R Ch. 3.4 - Prob. 3R Ch. 3.4 - Use the Internet to find and write the current...Ch. 3.4 - Complete the table using the current exchange...Ch. 3.4 - Write an equation that will convert U.S. dollars...Ch. 3.4 - Which is the independent variable in your...Ch. 3.5 - Prob. 0LO Ch. 3.5 - Prob. 1C Ch. 3.5 - Prob. 2C Ch. 3.5 - Prob. 3C Ch. 3.5 - Prob. 4C Ch. 3.5 - Prob. 5C Ch. 3.5 - Prob. 6C Ch. 3.5 - Prob. 7C Ch. 3.5 - Prob. 8C Ch. 3.5 - Prob. 9C Ch. 3.5 - Prob. 10C Ch. 3.5 - Prob. 11C Ch. 3.5 - Prob. 12C Ch. 3.5 - Prob. 13C Ch. 3.5 - Prob. 14C Ch. 3.5 - Prob. 15C Ch. 3.5 - Prob. 1G Ch. 3.5 - Prob. 2G Ch. 3.5 - Prob. 3G Ch. 3.5 - Prob. 4G Ch. 3.5 - Prob. 5G Ch. 3.5 - Prob. 6G Ch. 3.5 - Prob. 7G Ch. 3.5 - Prob. 8G Ch. 3.5 - Prob. 9G Ch. 3.5 - Prob. 10G Ch. 3.5 - Prob. 11G Ch. 3.5 - Prob. 12G Ch. 3.5 - Prob. 13G Ch. 3.5 - Prob. 14G Ch. 3.5 - Prob. 15G Ch. 3.5 - Prob. 16G Ch. 3.5 - Prob. 17G Ch. 3.5 - Prob. 18G Ch. 3.5 - Prob. 1T Ch. 3.5 - Prob. 1R Ch. 3.5 - Prob. 2R Ch. 3.5 - Prob. 3R Ch. 3.5 - Prob. 4R Ch. 3.5 - Prob. 5R Ch. 3.5 - Prob. 1A Ch. 3.5 - Explain why a linear equation seems like a...Ch. 3.5 - Prob. 3A Ch. 3.5 - Prob. 4A Ch. 3.5 - Prob. 5A Ch. 3.5 - Prob. 6A Ch. 3.5 - Prob. 7A Ch. 3.5 - Prob. 8A Ch. 3.6 - Prob. 0LO Ch. 3.6 - Decide if you think the two quantities are likely...Ch. 3.6 - Prob. 2C Ch. 3.6 - Prob. 3C Ch. 3.6 - Prob. 4C Ch. 3.6 - Prob. 5C Ch. 3.6 - Prob. 6C Ch. 3.6 - Prob. 7C Ch. 3.6 - Prob. 8C Ch. 3.6 - Prob. 9C Ch. 3.6 - Prob. 10C Ch. 3.6 - Prob. 11C Ch. 3.6 - Prob. 12C Ch. 3.6 - Prob. 13C Ch. 3.6 - Prob. 14C Ch. 3.6 - When finding the line of best fit using a graphing...Ch. 3.6 - Prob. 16C Ch. 3.6 - Prob. 1G Ch. 3.6 - Prob. 2G Ch. 3.6 - Draw a scatter plot on graph paper with shoe size...Ch. 3.6 - Prob. 4G Ch. 3.6 - Prob. 5G Ch. 3.6 - Prob. 6G Ch. 3.6 - Prob. 7G Ch. 3.6 - Prob. 8G Ch. 3.6 - Prob. 9G Ch. 3.6 - Prob. 10G Ch. 3.6 - Prob. 11G Ch. 3.6 - Prob. 12G Ch. 3.6 - Prob. 13G Ch. 3.6 - Prob. 14G Ch. 3.6 - Do an Internet search for 1968 mens long jump....Ch. 3.6 - Prob. 1R Ch. 3.6 - Prob. 2R Ch. 3.6 - Prob. 3R Ch. 3.6 - Prob. 4R Ch. 3.6 - Prob. 1A Ch. 3.6 - Prob. 2A Ch. 3.6 - Use a graphing calculator or spreadsheet to create...Ch. 3.6 - What is the slope of the line? What does it mean?Ch. 3.6 - Prob. 5A Ch. 3.6 - Prob. 6A Ch. 3.6 - Prob. 7A Ch. 3.6 - What is the correlation coefficient for the data?...Ch. 3.7 - Prob. 0LO Ch. 3.7 - Summarize Polyas problem solving strategy from...Ch. 3.7 - Prob. 2C Ch. 3.7 - Prob. 3C Ch. 3.7 - Prob. 4C Ch. 3.7 - Prob. 5C Ch. 3.7 - With only a 200 point final remaining, Se Ri has...Ch. 3.7 - Prob. 2G Ch. 3.7 - Prob. 3G Ch. 3.7 - Prob. 4G Ch. 3.7 - Prob. 1R Ch. 3.7 - Prob. 2R Ch. 3.7 - Prob. 3R Ch. 3.7 - Prob. 4R Ch. 3.7 - Parents with young babies buy a lot of diapers (to...Ch. 3.7 - Prob. 5A Ch. 3.7 - Prob. 6A Ch. 3.7 - Prob. 7A Ch. 3.7 - Prob. 8A Ch. 3.7 - Prob. 9A Ch. 3.7 - Prob. 10A Ch. 3.7 - Prob. 11A

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Shoe Size	Height (inches)	Predicted Height
6	62
6	64
7	63
7	64
8	64
8	66
9	67
9	68
10	68
10	70
10	70

The correlation coefficient of the data in the table showing the shoe size and the height of the person. Shoe Size Height (inches) Predicted Height 6 62 6 64 7 63 7 64 8 64 8 66 9 67 9 68 10 68 10 70 10 70

Solution Summary: The author calculates the correlation coefficient of the data in the table showing the shoe size and the height of a person.

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To calculate: The correlation coefficient of the data in the table showing the shoe size and the height of the person. Shoe Size Height (inches) Predicted Height 6 62 6 64 7 63 7 64 8 64 8 66 9 67 9 68 10 68 10 70 10 70

Want to see the full answer?

Chapter 3 Solutions

To calculate: The correlation coefficient of the data in the table showing the shoe size and the height of the person.

Shoe Size Height (inches) Predicted Height

6 62

6 64

7 63

7 64

8 64

8 66

9 67

9 68

10 68

10 70

10 70