PLEASE HELP AND SHOW WORK! THANK YOU SO MUCH The table below n shows the distance y, in miles, traveled by a toy car in x minutes:
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.

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)

rx and sx

step-by-step explanation:

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.