Susan, a personal trainer, was interested in whether or not there was a linear relationship between the number of visits her clients made to the gym each week and the average amount of time her clients exercised per visit. She took the following data. Client123456Number of visits per week134235Average time spent exercising per visit (hours)21.51220.30 If the correlation coefficient is –1, which answer is correct?Group of answer choicesThe slope of the best fit line is positive.The data fit exactly on a line with negative slope.The slope of the best fit line is –1.The data fit exactly on a line with positive slope.

It is given that Correlation coefficient = -1

If the correlation coefficient is –1, which answer is correct? Group of answer choices The slope of the best fit line is positive. The data fit exactly on a line with negative slope. The slope of the best fit line is –1. The data fit exactly on a line with positive slope.

If the correlation coefficient is –1, which answer is correct? Group of answer choices The slope of the best fit line is positive. The data fit exactly on a line with negative slope. The slope of the best fit line is –1. The data fit exactly on a line with positive slope.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.6: Regression And Median-fit Lines

Problem 6PPS

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Question

Susan, a personal trainer, was interested in whether or not there was a linear relationship between the number of visits her clients made to the gym each week and the average amount of time her clients exercised per visit. She took the following data.

Client	1	2	3	4	5	6
Number of visits per week	1	3	4	2	3	5
Average time spent exercising per visit (hours)	2	1.5	1	2	2	0.30

If the correlation coefficient is –1, which answer is correct?

Group of answer choices

The slope of the best fit line is positive.

The data fit exactly on a line with negative slope.

The slope of the best fit line is –1.

The data fit exactly on a line with positive slope.

Definition Definition Statistical measure used to assess the strength and direction of relationships between two variables. Correlation coefficients range between -1 and 1. A coefficient value of 0 indicates that there is no relationship between the variables, whereas a -1 or 1 indicates that there is a perfect negative or positive correlation.

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