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
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schrodinger
  • schrodinger
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Howard-Wolowitz
  • Howard-Wolowitz
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Howard-Wolowitz
  • Howard-Wolowitz
@xMissAlyCatx
xMissAlyCatx
  • xMissAlyCatx
what was the correlation in the other one we did? .99 something??

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More answers

Howard-Wolowitz
  • Howard-Wolowitz
0.99847175
Michele_Laino
  • Michele_Laino
I think it is \(r=0.99847175\) not \(r^2\) am I right?
Michele_Laino
  • Michele_Laino
what I know, is if the coefficient of correlation \(r\) is close to 1, or it is close to -1, then we have a strong correlation or a strong causality relation, between the two involved variables
Howard-Wolowitz
  • Howard-Wolowitz
then qhT IS R2
Howard-Wolowitz
  • Howard-Wolowitz
*what is r2 then
Michele_Laino
  • Michele_Laino
sincerely I don't know, maybe it can be the square of the coefficient of correlation \(r\)
Michele_Laino
  • Michele_Laino
in such case (\(r^2=0.99847175\)) we can state that there is a strong causality relation between the involved variables
Michele_Laino
  • Michele_Laino
since we can write this: \[\huge r \approx 1 \Rightarrow {r^2} \approx 1\]
Howard-Wolowitz
  • Howard-Wolowitz
so what would you suggest I put as a correct answer?
Michele_Laino
  • Michele_Laino
or: \[\huge r \approx - 1 \Rightarrow {r^2} \approx 1\] yes! I think so!
Howard-Wolowitz
  • Howard-Wolowitz
i should put that?
Michele_Laino
  • Michele_Laino
yes! I suggest to write that \(r^2\) is the square of the coefficient correlation, and it represents a measure of how are strongly correlated the experimental data
Howard-Wolowitz
  • Howard-Wolowitz
ok and r2 equals 1 right?
Michele_Laino
  • Michele_Laino
from your computation I see that \(r^2=0.99847175\) am I right?
Howard-Wolowitz
  • Howard-Wolowitz
yes you are
Michele_Laino
  • Michele_Laino
ok! :) so we can write \(r^2=0.998\) and such value verifies the condition: \[\huge {r^2} \approx 1\] namely the condition of strong causal correlation between the involved variables

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