1377 WordsJan 1, 20146 Pages

Problems on Regression and Correlation
Prepared by: Dr. Elias Dabeet
Q1. Dr. Green (a pediatrician) wanted to test if there is a correlation between the number of meals consumed by a child per day (X) and the child weight (Y). Included you will find a table containing the information on 5 of the children. Use the table to answer the following:
Child
Number of meals consumed per day (X) child weight (Y)
X²
Y²
XY
Ahmad
11
8
121
64
88
Ali
16
11
256
121
176
Osama
12
9
144
81
108
Husien
19
13
361
169
247
Total
58
41
882
435
619
a. Determine the simple linear regression equation.
b. Determine the correlation coefficient. Interpret it in words.
c. What is the expected child weight if the number of*…show more content…*

experiencing hypertension, given that the person is a moderate smoker;
2. non-smoker or experiencing hypertension.
3. a smoker, given that the person is experiencing no hypertension.
Q9. 1418 men were cross-classified according to their smoking status and their lung cancer status as in the following table:
Lung Cancer
Present
Absent
Total
Smoker
Yes
688
650
1338
No
21
59
80
Total
709
709
1418
If one of these men is selected at random, find the probability that he is
a) a smoker
b) having lung cancer. .
c) non-smoker or having lung cancer.
d) having lung cancer, given that he is a smoker.
e) a smoker, given that he does not have lung cancer. h) Are the events “ being a smoker “ and “ having lung cancer “ independent? Why?
Q10. A lab test is 95 percent effective at detecting a certain disease when it is present. When the disease is not present, the test is 99 percent effective at declaring the subject negative. If 8 percent of the population has

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