Final answer:
To compare the averages of the income, male, and gamer variables in the test and control groups, use t-tests to determine statistical significance and apply regression analysis to assess correlation.
Step-by-step explanation:
a. The independent variable should be the test/control group and the dependent variable should be the income/male/gamer variables.
b. To compare the averages, calculate the mean for each variable in both the test and control groups.
c. Use t-tests to compare the means between the groups and determine if there is a statistically significant difference.
d. Apply regression analysis to assess the correlation between the variables.