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
Agree on all.
To check your answers, let's go through each question one by one:
a.) The explanatory variable is the variable that explains or predicts changes in another variable. In this case, it is the year (1987 or 2001) because it is being used to compare the percentages for each appliance in those years. Therefore, the correct answer is the year.
b.) The explanatory variable is quantitative if it represents a quantity or a numerical measure. In this case, the year is not quantitative, but rather categorical since it represents distinct categories (1987 and 2001). Therefore, the correct answer is categorical.
c.) The response variable is the variable that is being measured or observed in relation to the explanatory variable. In this case, it is the percentage of homes that had appliances. Therefore, the correct answer is the percentage of the homes that had appliances.
d.) The response variable is quantitative if it is a numerical measurement. In this case, the percentage of homes is a numerical measurement, so the correct answer is quantitative.
e.) Based on the information provided, it is stated that the percentage of homes with appliances in 2001 is higher compared to 1987. Therefore, the correct answer is 2001.
Overall, your answers are correct except for b.) where the correct answer is categorical, not quantitative.