Question

exercise an average number of miles walked and biked each week for six people is shown.
person 1 2 3 4 5 6
miles walked 10 0 3 8 15 1
miles biked 2 15 13 5 0 12
is there a correlation between the variables in the data? is there likely causation?
a) correlation but no causation
b) positive correlation and causation
c) negative correlation and causation
d) neither correlation nor causation

Explanation:

Step1: Analyze the data for correlation

Check if there is a pattern (increase - increase or increase - decrease) between miles walked and miles biked. Person 1: walked 10, biked 2; Person 2: walked 0, biked 15; Person 3: walked 3, biked 13; Person 4: walked 8, biked 5; Person 5: walked 15, biked 0; Person 6: walked 1, biked 12. There is no consistent pattern (e.g., as miles walked increases, miles biked doesn't consistently increase or decrease). So, no correlation.

Step2: Analyze for causation

Causation would mean one variable (miles walked) causes the other (miles biked). But walking and biking are two different activities. There is no logical cause - effect relationship (e.g., walking more doesn't make you bike more or less in a consistent way).

Answer:

D. neither correlation nor causation