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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 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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