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Mathematics 19 Online
OpenStudy (howard-wolowitz):

Can anyone help me: I"ll medal

OpenStudy (michele_laino):

If the variation explained is like the correlation coefficient, I'm referring to the link in previous question, I thin that, we can write this: \[\huge r = 0.9795 \Rightarrow \% = r \cdot 100 \cong 98\]

OpenStudy (michele_laino):

oops.. explained variation*

OpenStudy (michele_laino):

think*

OpenStudy (howard-wolowitz):

so it would be around 98% you think

OpenStudy (michele_laino):

yes! here is the link: https://en.wikipedia.org/wiki/Explained_variation

OpenStudy (howard-wolowitz):

ok, now all i need for the worded one is a simple but explanatory answer

OpenStudy (michele_laino):

from general theory, we can say that values of \(r\) close to \(1\) or to \(-1\) indicate a strong linear correlation, whereas values of \(r\) close to \(0\) indicate a weak correlation or no linear correlation

OpenStudy (howard-wolowitz):

the only reason i being crazy about the second one i becasue i alway get points taken off for not being specific enough.... crazy right

OpenStudy (michele_laino):

I had the same problem, I failed my first physics exam only because I didn't give much explanation, even if my results and formulas were right!!!!!

OpenStudy (howard-wolowitz):

so this is what im gonna put.... The values of r that are close to 1 or to -1 indicate a strong linear correlation, kind of like the, the values of r close to 0 indicate a weak correlation... or no linear correlation! How this?

OpenStudy (howard-wolowitz):

but yeah its wierd how you must be a good explanier

OpenStudy (howard-wolowitz):

ok im gonna go with that :)

OpenStudy (michele_laino):

after that failed exam, I became a good explainer eh eh :) here we have to analyze the formula which expresses the value of \(r\) the mathematical reasoning is quite long the better thing if you can, is to refer to a good textbook of statistics \[\begin{gathered} {\text{John}}\;{\text{R}}{\text{.}}\;{\text{Taylor}} \hfill \\ {\mathbf{An}}\;{\mathbf{Introduction}}\;{\mathbf{To}}\;{\mathbf{Error}}\;{\mathbf{Analysis}}{\mathbf{.}} \hfill \\ {\mathbf{The}}\;{\mathbf{Study}}\;{\mathbf{of}}\;{\mathbf{Uncertainties}}\;{\mathbf{in}}\;{\mathbf{Physical}}\;{\mathbf{Measurements}} \hfill \\ {\text{University}}\;{\text{Science}}\;{\text{Books}}\;\left( {{\text{1982}}} \right) \hfill \\ \end{gathered} \]

OpenStudy (michele_laino):

that above is my favorite textbook of statistics

OpenStudy (howard-wolowitz):

hmm , I will check up on that

OpenStudy (michele_laino):

for example, in that textbook, is used the Scwarz inequality, furthermore, is used the hypothesis that errors propagate in accordance with the normal or gaussian distribution

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