Answered: 1. Background: The Food and Drug…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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I. Background The Food and Drug Administration (FDA) tries to find out whether there is a relation between the number of years people smoked and the percentage of lung damage. FDA asks you for your help to find it out. You interviewed twenty people who have smoked and obtained the following data. II. Technical report: a) Draw a scatter plot. b) Based on the scatter plot, explain whether the number of years and the percentage of lung damage are correlated. If they are correlated, discuss the strength of correlation, and the direction (positive or negative). c) Find the correlation coefficient r. Explain what r implies. d) Choose your own significance level a (1 suggests 0.1, 0.05 or 0.01). State and test the hypothesis. Explain what your findings mean. e) Do your observations in part (b) agree to the results from part (c) and (d)? Explain f) Find the regression line equation. Explain what the line implies. g) Draw the regression line on your scatter plot. h) A man has smoked 13 years. predict the percentage for damage on his lung. III. Letter to the director of FDA: Suppose that the director is a non-statistical person. Write one page letter that explains your findings. (( please check images for accuracy, thank you!!!))

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HOMEWORK
Correlation & Regression Analysis
1. Background:
The Food and Drug Administration (FDA) tries to find out whether there is a relation
between the number of years people smoked and the percentage of lung damage. FDA
asks you for your help to find it out. You interviewed twenty people who have smoked,
and obtained the following data
34 24 27 21 18
35 27 25
21 33
28 15 3
10 26 20 10 30 22 15 20
Years
30 33 8
45 15 50 22
23 15
40 18 5
29
10
30
30
Damage 25 17 46
II. Technical report:
(a) Draw a scatter plot.
(b) Based on the scatter plot, explain whether the mumber of years and the percentage
of lung damage are correlated. If they are correlated, discuss the strength of
correlation, and the direction (positive or negative).
(c) Find the correlation coefficient r. Explain what r implies.
(d) Choose your own significance level a (I suggest 0.1, 0.05 or 0.01). State and test
the hypotheses. Explain what your findings mean.
(c) Do your observations in part (b) agree to the results from part (c) and (d)?
Explain.
() Find the regressien line equation Explain what the line implies
() Draw the regression line on your scatter plotL
(1) A man has smoked 13 years. Predict the percentage of damage on his lang.
TII. Letter to the director of FDA:
Suppose that the director is a non-statistical person. Write one page letter that explains
your findings
lili

1. Background:
The Food and Drug Administration (FDA) tries to find out whether there is a relation
between the number of years people smoked and the percentage of lung damage. FDA
asks you for your help to find it out You interviewed twenty people who have smoked,
and obtained the following data.
29 10 21 3334 24 | 27 21 18
20 30
23 15 30 33 8
Years
Damage 25 17 46 45 15 50 22 10 26 20 10 30 22 15
40 18 5
28 15 3
30 35 27 25

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