Hi! I had this one last question on my homework that I wasn't sure about, but, I need someone to check this for me and see if this is right. Thanks so much!

Question: The study that looked at prevalence of various appliance in homes in 2001 made a comparison to the percentages for each appliance in 1987. For example, microwave ovens to 96% in 2001. Answering machines were in 10% of the homes in 1987 as opposed to 78% in 2001.

Responses:

a.) There are two variables involved; what is the explanatory variable? Not here, which year (1987 or 2001), percentages, or appliances?

My answer: Percentages

b.) Tell whether the explanatory variable is quantitative or categorical.

My answer: Quantitative

c.) What is the response variables? Years or what percentage of the homes had appliances?

My answer: Percentage of the homes that had appliances.

d.) Tell whether the response variable is quantitative or categorical.

My answer: Quantitative

e.) In which year would you expect percentages to be higher overall; 1987 or 2001, or both the same?

My answer: 2001

To check if your answers are correct, let's go through each question:

a.) The explanatory variable is the variable that is used to explain or predict the response variable. In this case, we are comparing the percentages of appliances in different years. Therefore, the explanatory variable is the year (1987 or 2001).

Your answer is incorrect. The correct answer is the year.

b.) A quantitative variable is a variable that can be measured numerically. A categorical variable is a variable that can take on different categories or labels. In this case, the year is a categorical variable, as it has distinct categories of 1987 and 2001.

Your answer is incorrect. The correct answer is categorical.

c.) The response variable is the variable that is being measured or observed. In this case, it is the percentage of homes that had appliances.

Your answer is correct.

d.) Similar to question b, the response variable can also be categorized as quantitative or categorical. In this case, the response variable is quantitative because it involves numerical measurements (percentages).

Your answer is correct.

e.) Based on the information provided, the percentage of homes with appliances increased from 10% in 1987 to 78% in 2001. Therefore, we would expect the percentages to be higher overall in 2001 as compared to 1987.

Your answer is correct.

Overall, your answers are mostly correct. Just make sure to review the difference between quantitative and categorical variables, and correctly identify the explanatory and response variables in a given scenario. Great job!