Question

Please I need math help

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

Answer 3

I can help you with B and C parts - i have no clue about part A, sorry :(

Answer 4

Anything would help.

Answer 5

@ganeshie8

Answer 6

for partB :
pick any two points and calculate the slope using slope formula

Answer 7

what is slope formula again?

Answer 8

http://www.algebra-class.com/image-files/slope-formula-2.gif

Answer 9

slope = (change in y) / (change in x)

Answer 10

So I would pick 2 points from x and 2 points from y, or 1 point from x and 1 point from y?

Answer 11

here (x, y) pair is a point

Answer 12

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

Answer 13

(20, 5) is a point on distance-time graph
(30, 10) is another point on the same graph

Answer 14

you may use those points to find the slope ^^

Answer 15

1.3?

Answer 16

would that be it?

Answer 17

how did u get 1.3 ?

Answer 18

I subtracted 30-10 and 20-5, (20 and 15) and divided 15 by 20 and got 1.3

Answer 19

@ganeshie8

Answer 20

I see, but we need to subtract `y values` right ?

Answer 21

```
(20, 5) is a point on distance-time graph
(30, 10) is another point on the same graph
```


change in y = 10-5 = 5
change in x = 30-20 = 10

slope = (change in y) / (change in x)
= 5/10
= 0.5

Answer 22

So it would be 0.5?

Answer 23

And what does it represent?

Answer 24

since y, distance, is measured in miles,
and x, time, is measured in minutes

slope = 0.5 miles/minite

it represents the `speed `of the toy car !

Answer 25

Ok. Thank you! Can you please help me with part c?

Answer 26

And for the rest of the questions (which are only like 2.3 because of 1 full question and 1/3 of one question) can i leave it in this thread @ganeshie8 ?

Answer 27

First, plot the points.
(20, 5), (30, 10), (40, 15), (50, 20)

A. You'll see that it's a perfectly straight line, so it's a perfect positive correlation --- Positive because it increases from left to right. The value to represent this is 1. A correlation of 1 means time and distance have a perfect positive linear relationship, meaning if x increases by a certain value, y also increases by a certain value at the same time. In our case, every time x increases by 10, y increases by 5.

Answer 28

hope that helps for part A

Answer 29

wow that looks great xD

Answer 30

nice job @ganeshie8

Answer 31

thank you so much! What is the most likely value of the correlation coefficent of the data in the table @$w3G_Godd

Answer 32

@$w3G_Godd

Answer 33

1

Answer 34

@ninjasandtigers is this causation or correlation???

Answer 35

a correlation...i think thats what @$w3G_Godd said

Answer 36

@liorafanny

Answer 37

but why correlation..... it says to explain

Answer 38

honestly I can't remember...this was so long ago but i do remember at a correlation doesn't always imply a causation.