Calculate the sample correlation coefficient r (show all your work). b) Calculate the regression line (you may use technology, but you should write up the details). c) Use the regression line obtain in b. to predict the value of y for x = 0.3 year.

Calculate the sample correlation coefficient r (show all your work). b) Calculate the regression line (you may use technology, but you should write up the details). c) Use the regression line obtain in b. to predict the value of y for x = 0.3 year.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 6E

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Question

a) Calculate the sample correlation coefficient r (show all your work).
b) Calculate the regression line (you may use technology, but you should write up the details).
c) Use the regression line obtain in b. to predict the value of y for x = 0.3 year.
d) Use the regression line obtain in b. to predict the value of y for x = 0.8 year.

Age, x
0.1
0.2
0.4
0.7
0.6
0.9
0.1
0.2
0.4
0.9
The ages (in years) of 10 infants and the numbers of hours each slept in a day.
Hours slept, y
14.5
14.3
14.1
13.9
13.9
13.7
14.3
14.2
14
13.8

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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