Question

If an object is dropped from a height, its downward speed theoretically increases
linearly over time because the object is subject to the steady pull of gravity. Here
are observational data on the speed of a ball dropped from a certain height at time
x = 0:
Time (seconds) X 0 0.2 0.4 0.6 0.8
Speed (m/sec) Y 0 1.92 3.58 6.01 7.88

Answer 1

Let me graph it real fast and see if I can determine a correlation.

Answer 2

Ok, thanks for helping me AlycaT

Answer 3

K well here is the graph.

Answer 4

I do believe for this we will have to do the standard deviation again like we did once before with the trillions of steps.

Answer 5

We can tell though that the correlation is positive.

Answer 6

ok awesome, are you cool with helping me with the billion steps again

Answer 7

Yes if you would like me to. :)

Answer 8

We can use this as a guide again.

Answer 9

So first thing to do is get all of your x-values and find the average, then do the same with the y's.

Answer 10

The average of the x's is .4
The average of the y's is 3.882

Answer 11

Your next step is to subtract .4 from every x-value and to subtract 3.882 from every y-value..

Answer 12

ok give me one second plz

Answer 13

x-values

0 - .4 = -.4
.2 - .4 = -.2
.4 - .4 = 0
.6 - .4 = .2
.8 - .4 = .4

y-values
0 - 3.882 = -3.882
1.92 - 3.882 = -1.962
3.58 - 3.882 = -.302
6.01 - 3.882 = 2.128
7.88 - 3.882 = 3.998

Answer 14

i got all of those for z the same

Answer 15

*x I mean

Answer 16

Your next step is to multiply your x-values by your y-values..

-.4 (-3.882) = 1.5528
-.2 (-1.962) = .3924
0 (-.302) = 0
.2 (2.128) = .4256
.4 (3.998) = 1.5992

Answer 17

i got the same y's

Answer 18

Now you square your x's and y's..


x-values

-.4 squared = .16
-.2 squared = .04
0 squared = 0
.2 squared = .04
.4 squared = .16

y-values

-3.882 squared = 15.069924
-1.962 squared = 3.849444
-.302 squared = .091204
2.128 squared = 4.528384
3.998 squared = 15.984004

Answer 19

then you add them i think???

Answer 20

Now add up your the x(y)'s the x-squared's and the y-squared's

The x(y)'s added up is = 3.97
The x-squared's added up is = .4
The y-squared's added up is = 39.52296