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.
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.
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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A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Question
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.
((Please refer to images for accuracy, thank you!!))
Transcribed Image Text: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.
30 33 8
29 10 21 33 34
24 27 21
18
40 18 5
15 50 22 10 26 20
Years
23
15
28
15 3
Damage 25 17 46 45
10 30 22
15 20 30 30 35 27 25
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 (I suggest 0.1, 0.05 or 0.01). State and test
the hypotheses. Explain what your findings mean.
(e) Do your observations in part (b) agree to the results from part (c) and (d)?
Explain.
() 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 of damage on his lung.
Expert Solution
Step 1
Given Information:
| Years(X) | 23 | 15 | 30 | 33 | 8 | 40 | 18 | 5 | 28 | 15 | 3 | 29 | 10 | 21 | 33 | 34 | 24 | 27 | 21 | 18 |
| Damage(Y) | 25 | 17 | 46 | 45 | 15 | 50 | 22 | 10 | 26 | 20 | 10 | 30 | 22 | 15 | 20 | 30 | 30 | 35 | 27 | 25 |
(a) Scatter plot can be constructed using Excel:
Steps to follow are given below:
- Enter the data in Excel sheet
- Select the data, Go to Insert
- Under different chart types: Select Scatter plot
- Add chart title and axis titles
Excel output is given below:
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