3
QuizMultiple Choice

Observational Studies and Experiments

Question 3 • NC-Math 4 CR

To increase attendance for a flower show, the organizers have chosen flower shops in the area to offer discount coupons to their customers. Half of the stores receive discount coupons for admission, while the other half of the stores receive two-for-one admission coupons. The organizers then compare the number of each type of coupon redeemed at the show.

Answer
A
The explanatory variable is the number of coupons redeemed. The response variable is the type of coupon.
B
The explanatory variable is each chosen flower shop. The response variable is the number of coupons redeemed.
C
The explanatory variable is the type of coupon. The response variable is number of number of coupons redeemed.
D
The explanatory variable is the attendance at the flower show. The response variable is the number of attendees who used coupons.

Explanation

The organizers assign shops one of two coupon types: a regular admission discount or a two-for-one deal. The coupon type is therefore the explanatory variable, and the number of coupons redeemed is the response being measured. Choice C correctly identifies these variables.

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