The following data were obtained from a survey of the number of years’ people smoked(X) and the percentage of lung damage(Y) they sustained. a) Find Correlation coefficient b) Draw a Scatter plot c) Find the Regression equation of Y on X d) Predict the percentage of lung damage who has smoked for 30 years. X 22 14 31 36 9 41 19 y 20 14 54 63 17 71 2

The following data were obtained from a survey of the number of years’ people smoked(X) and the percentage of lung damage(Y) they sustained. a) Find Correlation coefficient b) Draw a Scatter plot c) Find the Regression equation of Y on X d) Predict the percentage of lung damage who has smoked for 30 years. X 22 14 31 36 9 41 19 y 20 14 54 63 17 71 2

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

The following data were obtained from a survey of the number of years’ people smoked(X)
and the percentage of lung damage(Y) they sustained.
a) Find Correlation coefficient
b) Draw a Scatter plot
c) Find the Regression equation of Y on X
d) Predict the percentage of lung damage who has smoked for 30 years.

X 22 14 31 36 9 41 19
y 20 14 54 63 17 71 2

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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