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# Analyzing Bivariate Relationships

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1. For the following data on 10 persons, construct a scatterplot showing the relationship between age and number of children, and describe the relationship in verbal terms.

Person (i) Age
(X1) Number of
Children (Yi)
1 42 5
2 26 2
3 38 2
4 23 1
5 21 0
6 19 0
7 79 6
8 25 2
9 75 4
10 67 3

2. Suppose social psychologist collects the following data from five subjects: their scores on a test measuring the extent to which they trust other people and the number of altruistic acts they performed in the last month. Create a bivariate regression equation for these variables, treating altruistic acts as the dependent variable.

Subject Trust Altruistic acts
1 70 5
2 85 8
3 92 12
4 64 3
5 79 7

3. For the data in question 1, calculate the correlation coefficient, the coefficient of determination, and the coefficient of non determination. What can you conclude?

https://brainmass.com/statistics/correlation/analyzing-bivariate-relationships-242641

#### Solution Preview

http://www.physicalgeography.net/fundamentals/3h.html

1. For the following data on 10 persons, construct a scatter plot showing the relationship between age and number of children, and describe the relationship in verbal terms.

Person (i) Age
(X1) Number of
Children (Yi)
1 42 5
2 26 2
3 38 2
4 23 1
5 21 0
6 19 0
7 79 6
8 25 2
9 75 4
10 67 3

Solution:

Scatter plot of Age and number of child data does indicates any pattern in the data so the distribution of the data points indicates a positive linear relationship between the two variables.

2. Suppose social psychologist ...

#### Solution Summary

The solution analyzes bivariate relationships between age and number of children.The relationship is described.

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