A particular professor has noticed that the number of people, y, who complain about his attitude is dependent on the number of cups of coffee, x, he drinks. From eight days of tracking he compiled the following data:People (y)1111879645Cups of coffee (x)11233455Unless otherwise stated, you can round values to two decimal places.a) Using regression to find a linear equation for ˆy . Round to three decimal places.ˆy = b) Find the correlation coefficient. Round to three or four decimals.r =

The regression line is: ŷ = -0.585X + 7.459

Answered: professor has noticed

Math

Statistics

professor has noticed

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 17HP

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Question

A particular professor has noticed that the number of people, y, who complain about his attitude is dependent on the number of cups of coffee, x, he drinks. From eight days of tracking he compiled the following data:

People (y)	11	11	8	7	9	6	4	5
Cups of coffee (x)	1	1	2	3	3	4	5	5

Unless otherwise stated, you can round values to two decimal places.

a) Using regression to find a linear equation for ˆy . Round to three decimal places.

ˆy =

b) Find the correlation coefficient. Round to three or four decimals.

r =

Definition Definition Relationship between two independent variables. A correlation 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.

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