1. A researcher is interested in knowing if there is a relationship between the years presented in the table below and the average number of people in a family receiving welfare benefits. Year Average Family Size 1969 4.0 1973 3.6 1975 3.2 1979 3.0 1983 3.0 1988 3.0 1991 2.9 Using the data in the above table, provide the following information: a. state the null and alternative hypothesis. i. H0: ii. Ha: b. What is the value of the correlation coefficient r: c. What is the value of the coefficient of determination r2:
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
1. A researcher is interested in knowing if there is a relationship between the years presented in the table below and the average number of people in a family receiving welfare benefits.
Year |
Average Family Size |
1969 |
4.0 |
1973 |
3.6 |
1975 |
3.2 |
1979 |
3.0 |
1983 |
3.0 |
1988 |
3.0 |
1991 |
2.9 |
Using the data in the above table, provide the following information:
a. state the null and alternative hypothesis.
i. H0:
ii. Ha:
b. What is the value of the
c. What is the value of the coefficient of determination r2:
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