2. Consider the data set given in the accompanying table. X 1 X 2 X 3 Y 1 30 15
ID: 3323889 • Letter: 2
Question
2. Consider the data set given in the accompanying table.
X1
X2
X3
Y1
30
15
30
Y2
30
25
50
(a) Construct a frequency marginal distribution.
X1
X2
X3
Marginal distribution
Y1
30
15
30
?
Y2
30
25
50
?
Marginal distribution
?
?
?
?
5.
A survey asks questions about one's happiness and health. One would think that health plays a role in one's happiness. Use the data in the accompanying table to determine whether healthier people tend to also be happier. Treat level of health as the explanatory variable.
- Poor Fair Good Excellent
Not_too_happy 685 1,386 1,629 732
Pretty_happy 940 3,817 9,642 5,185
Very_happy 350 1,372 4,520 5,095
Create a conditional distribution for the data.
Level of Health
Level of Happiness
Poor
Fair
Good
Excellent
Not too happy
?
?
?
?
Pretty happy
?
?
?
?
Very happy
?
?
?
?
Total
?
?
?
?
(Round to three decimal places as needed.)
X1
X2
X3
Y1
30
15
30
Y2
30
25
50
Explanation / Answer
2)
Marginal Distribution is found by: Sum of row or column/Total Sum
Total Sum = 180
X1 X2 X3 Marginal distribution Y1 30 15 30 0.41666667 Y2 30 25 50 0.58333333 Marginal distribution 0.33333333 0.22222222 0.444444444 1Related Questions
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