Question

Please HELP!!! Algebra!

Answer 1

The table below shows the distance y, in miles, traveled by a toy car in x minutes:

Time (x) (minutes) 20 30 40 50
Distance (y) (miles) 5 10 15 20


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. (4 points)
[Choose the value of correlation coefficient from 1, 0.8, 0.5, 0.02]

Part B: What is the value of the slope of the graph of distance versus time, and what does the slope represent? (3 points)

Part C: Does the data in the table represent correlation or causation? Explain your answer. (3 points)

Answer 2

@ganeshie8 @EclipsedStar @welshfella @LynFran @mathstudent55 @dan815

Answer 3

@ganeshie8 @geny55 @dan815 @Michele_Laino @jim_thompson5910

Answer 4

well I think you need to plot the points as a 1st step

Answer 5

that way you can see the type and strength of the correlation

Answer 6

I have this so far:

Part A: The most likely value of the correlation coefficient of the data in the table is 1. Based on the correlation coefficient, the relationship between time and distance traveled by the toy car is highly correlated, the higher the x-value, the higher the y-value and vice versa.

Answer 7

so part B is asking you to find the slope...

pick 2 points and just find the slope...

Answer 8

Ok, how about 20, 5 and 30, 10.

Answer 9

but I think part A should use a plot.... makes things easier to interpret

Answer 10

sure... they work... so what's the slope

Answer 11

10 - 5 5 1
------ = ---- or ----
30 - 20 10 2

Answer 12

oops so the slope seems ok...

Answer 13

I do?

Answer 14

LOL, okay, I'm not sure what the slope represents, though.

Answer 15

the slope is the average rate of change in the data...

in this question its the average speed of the car in miles per minute

Answer 16

Ok, so, what about Part C. Isn't it BOTH correlation and causation?

Answer 17

well causation is when the change in 1 variable cause the change in the other...

so does the change in time cause the change is distance travelled..?

here is a simple explanation

http://www.abs.gov.au/websitedbs/a3121120.nsf/home/statistical+language+-+correlation+and+causation

Answer 18

As far as I can tell, yes, there is definitely correlation.

Answer 19

@campbell_st

Answer 20

Okay, here's what I have:

art 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. (4 points)
[Choose the value of correlation coefficient from 1, 0.8, 0.5, 0.02]

Part B: What is the value of the slope of the graph of distance versus time, and what does the slope represent? (3 points)

Part C: Does the data in the table represent correlation or causation? Explain your answer. (3 points)

Answer 21

I'd agree that there is correlation... you need to decide if there is causation.

Answer 22

Part A: The most likely value of the correlation coefficient of the data in the table is 1. Based on the correlation coefficient, the relationship between time and distance traveled by the toy car is highly correlated, the higher the x-value, the higher the y-value and vice versa.

Part B: The slope of the graph of distance versus time is 1/2, this represents the average speed of the car in miles per minute.

Part C: The data in the graph represents ONLY correlation but, NOT causation, the longer the time, the more the toy car travels. If one of the inputs was changed, let's say, x, then the output (y) would change, establishing correlation. Time does not cause the toy car to go further, it is speed, thus, there is no causation.

Answer 23

@campbell_st