Howard-Wolowitz
  • Howard-Wolowitz
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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xMissAlyCatx
  • xMissAlyCatx
1 sec let me graph it.
xMissAlyCatx
  • xMissAlyCatx
1 Attachment
xMissAlyCatx
  • xMissAlyCatx
So for question 17- is it linear? (obviously not or it would be a straight line). But it has a strong positive relationship.

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More answers

Howard-Wolowitz
  • Howard-Wolowitz
ok so I'm gonna so, no its not linear but is has a strong postive relationship. Is this a suitable answer?
xMissAlyCatx
  • xMissAlyCatx
For the first one, yes I do believe so.
Howard-Wolowitz
  • Howard-Wolowitz
Ok cool!
xMissAlyCatx
  • xMissAlyCatx
I'm having troubles coming up with a formula, though to find the .3
xMissAlyCatx
  • xMissAlyCatx
@ganeshie8 please please help me <3
Howard-Wolowitz
  • Howard-Wolowitz
yes cause we have to do speed
xMissAlyCatx
  • xMissAlyCatx
Do you know the standard deviation of it still?
xMissAlyCatx
  • xMissAlyCatx
because if I have that I might be able to think up a formula..
Howard-Wolowitz
  • Howard-Wolowitz
one sec 0.99847175
ganeshie8
  • ganeshie8
|dw:1449848613159:dw|
xMissAlyCatx
  • xMissAlyCatx
Yay ganeshie is here :')
Howard-Wolowitz
  • Howard-Wolowitz
hm ok so your two graphs look alike so thats good
ganeshie8
  • ganeshie8
maybe lets take first and last points to get an equation of best fit line
ganeshie8
  • ganeshie8
(0, 0) (0.8, 7.88)
ganeshie8
  • ganeshie8
can you find the equation of line going thru those two points ?
ganeshie8
  • ganeshie8
doesn't look correct
ganeshie8
  • ganeshie8
try again
Howard-Wolowitz
  • Howard-Wolowitz
m = 80/7
ganeshie8
  • ganeshie8
How ?
ganeshie8
  • ganeshie8
(0, 0) (0.8, 7.88) m = 7.88/0.8 = 9.85 right ?
Howard-Wolowitz
  • Howard-Wolowitz
I guess, but can you show me how you got that? Cause I keep getting way wifferent answers
Howard-Wolowitz
  • Howard-Wolowitz
you divided?
ganeshie8
  • ganeshie8
I have just used the slope formula |dw:1449849442393:dw|
Howard-Wolowitz
  • Howard-Wolowitz
thats what i did, but I guess i did it wrong
ganeshie8
  • ganeshie8
could you show me the steps ?
Howard-Wolowitz
  • Howard-Wolowitz
sure, I did this: (0,8). When x of the line is 0, y of the line must be 8. (7,88). When x of the line is 7, y of the line must be 88. so: y=80/7x+b. b is what we want, the 80/7 is already set and x and y are just two "free variables so: (0,8). y=mx+b or 8=80/7 × 0+b, or solving for b: b=8-(80/7)(0). b=8.
Howard-Wolowitz
  • Howard-Wolowitz
right?
ganeshie8
  • ganeshie8
Nope
ganeshie8
  • ganeshie8
The two points are below : \(\large (0, ~0)\) \(\large (0.8,~ 7.88)\)
ganeshie8
  • ganeshie8
slope is given by \[m=\dfrac{7.88-0}{0.8-0}=\dfrac{7.88}{0.8}=9.85\]
Howard-Wolowitz
  • Howard-Wolowitz
ok so i was the one who messed up
Howard-Wolowitz
  • Howard-Wolowitz
I mean i didn think you did I'm just saying
ganeshie8
  • ganeshie8
Can you write the equation of line with slope 9.85 and passing through the point (0, 0) ?
Howard-Wolowitz
  • Howard-Wolowitz
using point slope formula
Howard-Wolowitz
  • Howard-Wolowitz
9.85x -y 0 = 0
Howard-Wolowitz
  • Howard-Wolowitz
now that has to be right
ganeshie8
  • ganeshie8
do you mean y = 9.85x
ganeshie8
  • ganeshie8
?
Howard-Wolowitz
  • Howard-Wolowitz
im showing you it? yes x=9.85
Howard-Wolowitz
  • Howard-Wolowitz
:)
ganeshie8
  • ganeshie8
what do you mean x=9.85 ?
ganeshie8
  • ganeshie8
The equation is just y = 9.85x
Howard-Wolowitz
  • Howard-Wolowitz
y=9.85x
Howard-Wolowitz
  • Howard-Wolowitz
this is what i meant
ganeshie8
  • ganeshie8
good
ganeshie8
  • ganeshie8
for #18, we may simply plugin x = 0.3 in above eqn
Howard-Wolowitz
  • Howard-Wolowitz
ok so y=9.85(0.3) = 2.955
ganeshie8
  • ganeshie8
Looks good !
ganeshie8
  • ganeshie8
#19 is same thing simply plugin x = 15
Howard-Wolowitz
  • Howard-Wolowitz
ok so y=9.85(15) = 147.75
Howard-Wolowitz
  • Howard-Wolowitz
btw: is it ok to say for number 17 this: no its not linear but is has a strong postive relationship. y=9.85x Is this a suitable answer?
ganeshie8
  • ganeshie8
The plot looks linear, so I think it is okay to say that the relationship is linear
Howard-Wolowitz
  • Howard-Wolowitz
hmmm. ok how do i give a good explanation of it being linear
Howard-Wolowitz
  • Howard-Wolowitz
I tihnk saying It looks linear is too simply put! Tell me if you agree?
ganeshie8
  • ganeshie8
it does look linear right ?
Howard-Wolowitz
  • Howard-Wolowitz
yes its straight

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