# Analyzing Bivariate Relationships

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?

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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.