Question

Suppose you were to collect data for each pair of variables listed below. You want to make a scatterplot. Which variable would you use as the explanatory variable and which as the response​ variable? Why? What would you expect to see in the​ scatterplot? Discuss the likely​ direction, form, and strength. ​a) Cell phone data plans for a person who wants a large file​ size: file​ size, cost ​b) Lightning strikes by a person watching a lightning​ storm: distance from​ lightning, time delay of the thunder ​c) A streetlight that you are​ approaching: its apparent​ brightness, your distance from it ​d) Cars being catalogued at a​ dealership: weight of​ car, age of owner

Answer 1

Answer and explanation:

1. Cost is response variable while file size is explanatory variable. Cost is response variable here because it is the dependent variable and the other is the independently variable that affects the dependent variable cost. The scatter plot will show how much cost increase with each change in file size. Scatter plot is in positive direction and strong

2. Time of delay of thunder is response variable while distance from lightning is explanatory variable. Time of delay is dependent variable while the other is independent variable which affects it. Scatter plot shows how much delay of thunder changes with change in distance from lightning. Positive scatter plot and strong

3. Your distance from it is explanatory variable while apparent brightness is response variable. Distance from it is independently variable while the the other is dependent variable. Scatter plot shows change of brightness with each change of distance. Negative direction as distance increase results in brightness decrease. It is strong.

4. weight of car is response variable while age of owner is explanatory variable. Weight of car is dependent variable while the other is independent variable. Scatter plot shows change of weight of car with change of age of owner. Positive direction as one increases the other increases. Strong