Question

Time (x): (minutes) 10 20 30 40 distance (y): (miles) 4 8 12 15
Part A: What is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and distance traveled by the toy car. [Choose the value of correlation coefficient from 1, 0.99, 0.5, 0.02]
Part B: what is the value of the slope of the graph of distance versus time between 10 minutes and 30 minutes, and what does the slope represent?

Part C: Does the data in the table represent correlation or causation? Explain your answer.

Answer 1

@iGreen @dan815 @pooja195 @k_lynn can any one of you guys help

Answer 2

@butterflydreamer @shamim

Answer 3

@iGreen Can you help

Answer 4

a. 10 = 4k, k = 2.5
20 = 8k, k = 2.5 again, so 2.5 is a valid corr-coeff.
In terms of x, it's 1/2.5 =0.4
c. The data can only represent correlation and not causation. Time cannot cause events, but events can happen at certain times.

Answer 5

for part A :Since the distance is increasing as time is increasing, this shows a strong positive correlation. The correlation coefficient could be 0.99

Answer 6

you need to use slope formula for b

Answer 7

Time (x)
(minutes)
10 20 30 40
Distance (y)
(miles)
4 8 12 15


or something like this ...

Answer 8

you're not wanting to help

Answer 9

C. It's not causation because x must cause y to change, or vice versa.
The car's distance has no effect on time. Time will increase steadily no matter what.
Time has no effect on the car's distance. The car's movement is due to batteries, not because of time.

It's a correlation because x and y are related by a common pattern mentioned in part A.