Question

The table below shows the velocity y, in miles per minute, of a toy car at different times x, in minutes:


Time (x)
(minutes) 10 20 30 40
Velocity (y)
(miles) 0.2 0.8 0.1 0.4


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 velocity of the toy car. (4 points)
[Choose the value of correlation coefficient from −1, 1, −0.04, 0.99]

Part B: What is the value of the slope of the graph of velocity versus time between 10 minutes and 20 minutes, and what does th

Answer 1

Part B: What is the value of the slope of the graph of velocity versus time between 10 minutes and 20 minutes, 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

can anyone please help me?

Answer 3

@Kainui

Answer 4

For Part A)

I plotted the points
https://www.desmos.com/calculator/caododfwvm

And the equation for the line of best fit is y = -0.001x + 0.4
(I plotted the points in excel and graphed them and had excel give me the equation for the trend line.)

Use this
https://pradeepshettys.files.wordpress.com/2011/09/correlation_coefficient.gif
and this
http://www.statisticshowto.com/wp-content/uploads/2012/10/pearson-2-small.png

What do you think the value of the correlation will be?

Answer 5

For Part B, you simply have to find the slope of (10, 0.2) and (20, 0.8)

Answer 6

As for Part C, it is not causation, but rather correlation.