Explanation Formula used: “The correlation coefficient is denoted by r and is given by r = n ( ∑ x y ) − ( ∑ x ) ( ∑ y ) n ( ∑ x 2 ) − ( ∑ x ) 2 ⋅ n ( ∑ y 2 ) − ( ∑ y ) 2 .” Calculation: The number of data points is n = 6 . The values x , y , x y , x 2 , y 2 and their column totals are calculated in the below table. x y x y x 2 y 2 1 3 3 1 9 2 4 8 4 16 3 6 18 9 36 4 5 20 16 25 5 7 35 25 49 6 8 48 36 64 ∑ x = 21 ∑ y = 33 ∑ x y = 132 ∑ x 2 = 91 ∑ y 2

10th Edition

ISBN: 8220102020252

Author: RITCHEY

Publisher: PEARSON

See similar textbooks

Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of tw…

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency o…

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow compar…

Videos

Question

Chapter 1.3, Problem 2YT

To determine

To find: The correlation coefficient r.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 1.3, Problem 1YT

Chapter 1.3, Problem 1E

Students have asked these similar questions

For the following data: 2, 5, 5, 6, 7, 7, 8, 9, 10 find Q4

Find p-hat and q- hat for the given data, X=280 and n = 580 Round to three decimals

For the following data: 3,4,5,6,7

Chapter 1 Solutions

EBK FINITE MATHEMATICS AND CALCULUS WIT

Ch. 1.1 - Find the slope of the line through (1, 5) and (4,...Ch. 1.1 - Find the equation of the line with x-intercept 4...Ch. 1.1 - Prob. 3YT Ch. 1.1 - Find the equation of the line through (2, 9) and...Ch. 1.1 - Prob. 5YT Ch. 1.1 - Prob. 6YT Ch. 1.1 - Prob. 1WE Ch. 1.1 - Prob. 2WE Ch. 1.1 - Prob. 3WE Ch. 1.1 - Prob. 4WE

Ch. 1.1 - Prob. 1E Ch. 1.1 - Prob. 2E Ch. 1.1 - Prob. 3E Ch. 1.1 - Prob. 4E Ch. 1.1 - Prob. 5E Ch. 1.1 - Prob. 6E Ch. 1.1 - Prob. 7E Ch. 1.1 - Prob. 8E Ch. 1.1 - Prob. 9E Ch. 1.1 - Prob. 10E Ch. 1.1 - Prob. 11E Ch. 1.1 - Prob. 12E Ch. 1.1 - Prob. 13E Ch. 1.1 - Prob. 14E Ch. 1.1 - In Exercises 1524, find an equation in...Ch. 1.1 - Prob. 16E Ch. 1.1 - In Exercises 1524, find an equation in...Ch. 1.1 - Prob. 18E Ch. 1.1 - In Exercises 1524, find an equation in...Ch. 1.1 - Prob. 20E Ch. 1.1 - In Exercises 1524, find an equation in...Ch. 1.1 - Prob. 22E Ch. 1.1 - In Exercises 1524, find an equation in...Ch. 1.1 - Prob. 24E Ch. 1.1 - Prob. 25E Ch. 1.1 - Prob. 26E Ch. 1.1 - Prob. 27E Ch. 1.1 - In Exercises 2534, find an equation for each line...Ch. 1.1 - Prob. 29E Ch. 1.1 - Prob. 30E Ch. 1.1 - Prob. 31E Ch. 1.1 - Prob. 32E Ch. 1.1 - Prob. 33E Ch. 1.1 - Prob. 34E Ch. 1.1 - Prob. 35E Ch. 1.1 - Prob. 36E Ch. 1.1 - Prob. 37E Ch. 1.1 - Prob. 38E Ch. 1.1 - Prob. 39E Ch. 1.1 - Prob. 40E Ch. 1.1 - Prob. 41E Ch. 1.1 - Prob. 42E Ch. 1.1 - Prob. 43E Ch. 1.1 - Prob. 44E Ch. 1.1 - Prob. 45E Ch. 1.1 - Prob. 46E Ch. 1.1 - Prob. 47E Ch. 1.1 - Graph each equation. 48. y = 6x + 12 Ch. 1.1 - Prob. 49E Ch. 1.1 - Prob. 50E Ch. 1.1 - Prob. 51E Ch. 1.1 - Prob. 52E Ch. 1.1 - Prob. 53E Ch. 1.1 - Prob. 54E Ch. 1.1 - Prob. 55E Ch. 1.1 - Prob. 56E Ch. 1.1 - Prob. 57E Ch. 1.1 - Graph each equation. 58. y = 5x Ch. 1.1 - Graph each equation. 59. x + 4y = 0 Ch. 1.1 - Prob. 60E Ch. 1.1 - Prob. 61E Ch. 1.1 - Prob. 62E Ch. 1.1 - Prob. 63E Ch. 1.1 - Prob. 64E Ch. 1.1 - Prob. 65E Ch. 1.1 - Life Sciences 66. HIV Infection The time interval...Ch. 1.1 - Prob. 67E Ch. 1.1 - Prob. 68E Ch. 1.1 - Prob. 69E Ch. 1.1 - Prob. 70E Ch. 1.1 - Prob. 71E Ch. 1.1 - Prob. 72E Ch. 1.1 - Prob. 73E Ch. 1.1 - Prob. 74E Ch. 1.1 - Prob. 75E Ch. 1.2 - Calculate g(5). Let g(x) = 4x + 5.Ch. 1.2 - Prob. 2YT Ch. 1.2 - Prob. 3YT Ch. 1.2 - Prob. 4YT Ch. 1.2 - Prob. 5YT Ch. 1.2 - Prob. 6YT Ch. 1.2 - Prob. 1WE Ch. 1.2 - Prob. 2WE Ch. 1.2 - Prob. 1E Ch. 1.2 - Prob. 2E Ch. 1.2 - Prob. 3E Ch. 1.2 - Prob. 4E Ch. 1.2 - Prob. 5E Ch. 1.2 - Prob. 6E Ch. 1.2 - Prob. 7E Ch. 1.2 - Prob. 8E Ch. 1.2 - Prob. 9E Ch. 1.2 - Prob. 10E Ch. 1.2 - Prob. 11E Ch. 1.2 - In Exercises 1114, decide whether the statement is...Ch. 1.2 - Prob. 13E Ch. 1.2 - Prob. 14E Ch. 1.2 - Prob. 15E Ch. 1.2 - Prob. 16E Ch. 1.2 - Prob. 17E Ch. 1.2 - Prob. 18E Ch. 1.2 - Write a linear cost function for each situation....Ch. 1.2 - Prob. 20E Ch. 1.2 - Write a linear cost function for each situation....Ch. 1.2 - Prob. 22E Ch. 1.2 - Assume that each situation can be expressed as a...Ch. 1.2 - Prob. 24E Ch. 1.2 - Assume that each situation can be expressed as a...Ch. 1.2 - Prob. 26E Ch. 1.2 - Business and Economics 27. Supply and Demand...Ch. 1.2 - Supply and Demand Suppose that the demand and...Ch. 1.2 - Supply and Demand Let the supply and demand...Ch. 1.2 - Supply and Demand Let the supply and demand...Ch. 1.2 - Supply and Demand Suppose that the supply function...Ch. 1.2 - Prob. 32E Ch. 1.2 - Break-Even Analysis Producing x units of tacos...Ch. 1.2 - Prob. 34E Ch. 1.2 - T-Shirt Cost Joanne Wendelken sells silk-screened...Ch. 1.2 - Prob. 36E Ch. 1.2 - Marginal Cost of Coffee The manager of a...Ch. 1.2 - Marginal Cost of a New Plant In deciding whether...Ch. 1.2 - Break-Even Analysis You are the manager of a firm....Ch. 1.2 - Prob. 40E Ch. 1.2 - Break-Even Analysis You are the manager of a firm....Ch. 1.2 - Prob. 42E Ch. 1.2 - Prob. 43E Ch. 1.2 - Prob. 44E Ch. 1.2 - Life Sciences 45. Deer Ticks Deer ticks are of...Ch. 1.2 - Prob. 46E Ch. 1.2 - Prob. 47E Ch. 1.2 - Prob. 48E Ch. 1.2 - Prob. 49E Ch. 1.2 - Prob. 50E Ch. 1.3 - Calculate the least squares line for the following...Ch. 1.3 - Prob. 2YT Ch. 1.3 - Prob. 1E Ch. 1.3 - Prob. 2E Ch. 1.3 - Prob. 3E Ch. 1.3 - Prob. 4E Ch. 1.3 - Prob. 5E Ch. 1.3 - Prob. 6E Ch. 1.3 - Prob. 7E Ch. 1.3 - Prob. 8E Ch. 1.3 - Prob. 9E Ch. 1.3 - Prob. 10E Ch. 1.3 - Prob. 11E Ch. 1.3 - Prob. 12E Ch. 1.3 - Prob. 13E Ch. 1.3 - Prob. 14E Ch. 1.3 - Mean Earnings The mean earnings (in dollars) of...Ch. 1.3 - Air Fares Using Expedia, a discount travel...Ch. 1.3 - Prob. 17E Ch. 1.3 - Size of Hunting Parties In the 1960s, the famous...Ch. 1.3 - Crickets Chirping Biologists have observed a...Ch. 1.3 - Prob. 20E Ch. 1.3 - Prob. 21E Ch. 1.3 - Prob. 22E Ch. 1.3 - SAT Scores At Hofstra University, all students...Ch. 1.3 - Prob. 24E Ch. 1.3 - Air Conditioning While shopping for an air...Ch. 1.3 - Prob. 26E Ch. 1.3 - Running If you think a marathon is a long race,...Ch. 1 - Determine whether each statement is true or false,...Ch. 1 - Prob. 2RE Ch. 1 - Prob. 3RE Ch. 1 - Prob. 4RE Ch. 1 - Prob. 5RE Ch. 1 - Prob. 6RE Ch. 1 - Prob. 7RE Ch. 1 - Prob. 8RE Ch. 1 - Prob. 9RE Ch. 1 - Prob. 10RE Ch. 1 - Determine whether each statement is true or false,...Ch. 1 - Prob. 12RE Ch. 1 - Prob. 13RE Ch. 1 - Prob. 14RE Ch. 1 - Prob. 15RE Ch. 1 - Prob. 16RE Ch. 1 - Prob. 17RE Ch. 1 - Prob. 18RE Ch. 1 - Prob. 19RE Ch. 1 - Prob. 20RE Ch. 1 - Prob. 21RE Ch. 1 - Prob. 22RE Ch. 1 - Prob. 23RE Ch. 1 - Prob. 24RE Ch. 1 - Prob. 25RE Ch. 1 - Prob. 26RE Ch. 1 - Prob. 27RE Ch. 1 - Prob. 28RE Ch. 1 - Prob. 29RE Ch. 1 - Prob. 30RE Ch. 1 - Prob. 31RE Ch. 1 - Prob. 32RE Ch. 1 - Prob. 33RE Ch. 1 - Prob. 34RE Ch. 1 - Prob. 35RE Ch. 1 - Prob. 36RE Ch. 1 - Prob. 37RE Ch. 1 - Prob. 38RE Ch. 1 - Prob. 39RE Ch. 1 - Prob. 40RE Ch. 1 - Prob. 41RE Ch. 1 - Prob. 42RE Ch. 1 - Prob. 43RE Ch. 1 - Prob. 44RE Ch. 1 - Prob. 45RE Ch. 1 - Prob. 46RE Ch. 1 - Prob. 47RE Ch. 1 - Prob. 48RE Ch. 1 - Prob. 49RE Ch. 1 - Prob. 50RE Ch. 1 - Prob. 51RE Ch. 1 - Prob. 52RE Ch. 1 - Prob. 53RE Ch. 1 - Prob. 54RE Ch. 1 - Prob. 55RE Ch. 1 - Prob. 56RE Ch. 1 - Prob. 57RE Ch. 1 - Prob. 58RE Ch. 1 - Prob. 59RE Ch. 1 - Life Sciences 60. World Health In general, people...Ch. 1 - Prob. 61RE Ch. 1 - Prob. 62RE Ch. 1 - Prob. 63RE Ch. 1 - Movies A mathematician exploring the relationship...

Knowledge Booster

$Calculus$

Learn more about

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

The correlation coefficient r .

Solution Summary: The author calculates the correlation coefficient r by subtracting the column totals from the formula.

Concept explainers

Videos

To find: The correlation coefficient r.

Want to see the full answer?

Chapter 1 Solutions