Explanation Given: Consider a set of xy pairs such that each pair, x and y are related by the equation y = 3 x + 5 . Definition used: If we have pairs of data for two variables x and y , the linear correlation coefficient for these data, denoted by r , is given by the formula r = n ∑ x y − ( ∑ x ) ( ∑ y ) n ( ∑ x 2 ) − ( ∑ x ) 2 n ( ∑ y 2 ) − ( ∑ y ) 2 , where n is the number of pairs of data we have for x and y . Calculation: Given that y = 3 x + 5 . Substitute the values in r = n ∑ x y − ( ∑ x ) ( ∑ y ) n ( ∑ x 2 ) − ( ∑ x ) 2 n ( ∑ y 2 ) − ( ∑ y ) 2 r = n ∑ x y − ( ∑ x ) ( ∑ y ) n ( ∑ x 2 ) − ( ∑ x ) 2 n ( ∑ y 2 ) − ( ∑ y ) 2 = n ∑ x ⋅ ( 3 x + 5 ) − ( ∑ x ) ( ∑ ( 3 x + 5 ) ) n ( ∑ x 2 ) − ( ∑ x

6th Edition

ISBN: 9780134506470

Author: Pirnot

Publisher: PEARSON

See similar textbooks

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…

Videos

Question

Chapter 14.5, Problem 27E

To determine

To describe:

The linear correlation coefficient for a set of xy pairs if in each pair, x and y are related by the equation y=3x+5.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 14.5, Problem 26E

Chapter 14.CR, Problem 1CR

Students have asked these similar questions

If X is a continuous random variable having pdf as shown. Find a) the constant k b) P(X>1) c) X, X², 0%, standard deviation. n(x) k -2 -1 0 1 2

What is one sample T-test? Give an example of business application of this test? What is Two-Sample T-Test. Give an example of business application of this test? .What is paired T-test. Give an example of business application of this test? What is one way ANOVA test. Give an example of business application of this test? 1. One Sample T-Test: Determine whether the average satisfaction rating of customers for a product is significantly different from a hypothetical mean of 75. (Hints: The null can be about maintaining status-quo or no difference; If your alternative hypothesis is non-directional (e.g., μ≠75), you should use the two-tailed p-value from excel file to make a decision about rejecting or not rejecting null. If alternative is directional (e.g., μ < 75), you should use the lower-tailed p-value. For alternative hypothesis μ > 75, you should use the upper-tailed p-value.) H0 = H1= Conclusion: The p value from one sample t-test is _______. Since the two-tailed p-value…

Decomposition geometry: Mary is making a decorative yard space with dimensions as shaded in green (ΔOAB).Mary would like to cover the yard space with artificial turf (plastic grass-like rug). Mary reasoned that she could draw a rectangle around the figure so that the point O was at a vertex of the rectangle and that points A and B were on sides of the rectangle. Then she reasoned that the three smaller triangles resulting could be subtracted from the area of the rectangle. Mary determined that she would need 28 square meters of artificial turf to cover the green shaded yard space pictured exactly.

Chapter 14 Solutions

Mathematics All Around (6th Edition)

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The linear correlation coefficient for a set of xy pairs if in each pair, x and y are related by the equation y = 3 x + 5 .

Solution Summary: The author explains the linear correlation coefficient for a set of xy pairs if each pair is related by the equation y=3x+5.

Concept explainers

Videos

To describe:

The linear correlation coefficient for a set of xy pairs if in each pair, x and y are related by the equation y=3x+5.

Want to see the full answer?

Chapter 14 Solutions

The linear correlation coefficient for a set of xy pairs if in each pair, x and y are related by the equation y = 3 x + 5 .

Solution Summary: The author explains the linear correlation coefficient for a set of xy pairs if each pair is related by the equation y=3x+5.

Concept explainers

Videos

To describe: The linear correlation coefficient for a set of xy pairs if in each pair, x and y are related by the equation y=3x+5.

Want to see the full answer?

Chapter 14 Solutions

To describe:

The linear correlation coefficient for a set of xy pairs if in each pair, x and y are related by the equation y=3x+5.