Question

1. (a.4a) the table below shows the number of snow cones sold at a view days and the temperature on that day. what is a reasonable correlation coetticient for the days? 13. (a.4b) in which situation is a causation the least likely? a. the amount of time a person exercised and the number of calories they burn. b. the number of cats in a house and the amount of kitty litter needed. c. the outside temperature and the number of hours the air conditioner is on. d. the height of a student and their grade in algebra class.

Explanation:

Question 12

Step1: Analyze the relationship

As temperature increases, the number of snow - cones sold generally increases. So, there is a positive correlation.

Step2: Evaluate the options

Option b (- 0.90) and option c (- 0.40) are negative correlations, so they can be eliminated. Between option a (0.37) and option d (0.93), a value of 0.93 indicates a stronger positive correlation. Looking at the data, as temperature goes up (e.g., from \(31^{\circ}\) to \(97^{\circ}\)), the number of snow - cones sold also has a relatively strong increasing trend.

• In option a, more exercise time usually causes more calories burned (causation).
• In option b, more cats in a house cause a greater need for kitty litter (causation).
• In option c, higher outside temperature causes the air - conditioner to run for more hours (causation).
• In option d, a student's height has no causal relationship with their grade in an algebra class. There is no mechanism by which height directly affects academic performance in algebra.

Answer:

d. 0.93

Question 13