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Mathematics 9 Online
OpenStudy (i_love_my_nieces):

MEDALS

OpenStudy (i_love_my_nieces):

The table below shows the height (in inches) and weight (in pounds)of eight basketball players. Height=67, 69, 70, 72, 74, 74, 78, 79 Weight=183, 201, 206, 220, 226, 240, 253, 255 what is the correlation of the set of data? Round your answer to the nearest thousandth. A.-0.946 B.0.596 C.0.035 D.0.981

OpenStudy (i_love_my_nieces):

Can you help me, @callielovesyhuu

OpenStudy (i_love_my_nieces):

@Michele_Laino

OpenStudy (i_love_my_nieces):

@pooja195

Elsa213 (elsa213):

FREE?

OpenStudy (michele_laino):

we have to apply the corresponding formula

OpenStudy (benlindquist):

free medals

Elsa213 (elsa213):

Oh there is a question >.<

OpenStudy (escamer):

._.

OpenStudy (benlindquist):

free medals

OpenStudy (i_love_my_nieces):

No free medal you get one if you answer my question CORRECTLY

OpenStudy (michele_laino):

If I call with \(x\) the height, and with \(y\) the weight, then I'm searching for a correlation: height---> weight so, here is the formula for the correlation coefficient \(r\)

OpenStudy (michele_laino):

\[\Large r = \frac{{\sum {\left( {{x_i} - \bar x} \right)\left( {{y_i} - \bar y} \right)} }}{{{{\left\{ {\sum {{{\left( {{x_i} - \bar x} \right)}^2} \times \sum {{{\left( {{y_i} - \bar y} \right)}^2}} } } \right\}}^{1/2}}}}\]

OpenStudy (michele_laino):

where: \[\Large \bar x = \frac{{\sum {{x_i}} }}{N},\quad \bar y = \frac{{\sum {{y_i}} }}{N},\quad N = 8\] so, the first step, is to compute, both \({\bar x}\) and \({\bar y}\)

OpenStudy (i_love_my_nieces):

I have a lot to do so could you hurry up

OpenStudy (i_love_my_nieces):

what you are typing is making no since to me

OpenStudy (michele_laino):

such formulas, are the standard formulas in order to compute the requested coefficient of correlation

OpenStudy (i_love_my_nieces):

What is my answer?

OpenStudy (i_love_my_nieces):

I think it is B

OpenStudy (michele_laino):

please, I have indicated the right way, and now you have to do such computation on your own

OpenStudy (i_love_my_nieces):

I. DO. NOT. UNDERSTAND.

OpenStudy (i_love_my_nieces):

I have told you that

OpenStudy (michele_laino):

I'm sorry, I can't give the direct answer, since it is against the code of conduct

OpenStudy (michele_laino):

I can guide you, step by step, to the final answer

OpenStudy (i_love_my_nieces):

Type it out and i will read it

OpenStudy (michele_laino):

please, try to compute the mean values of x, and y, using these formulas: \[\bar x = \frac{{\sum {{x_i}} }}{N},\quad \bar y = \frac{{\sum {{y_i}} }}{N},\quad N = 8\] wherein the x's are the heights, and the y's are the weights

OpenStudy (i_love_my_nieces):

i dont understand for the third time

OpenStudy (michele_laino):

for example, we have this: \[\begin{gathered} \bar x = \frac{{\sum {{x_i}} }}{N} = \hfill \\ \hfill \\ = \frac{{67 + 69 + 70 + 72 + 74 + 74 + 78 + 79}}{8} = ...? \hfill \\ \end{gathered} \]

OpenStudy (i_love_my_nieces):

72. 875

OpenStudy (michele_laino):

that's right! similarly, we can write this: \[\begin{gathered} \bar y = \frac{{\sum {{y_i}} }}{N} = \hfill \\ \hfill \\ = \frac{{183 + 201 + 206 + 220 + 226 + 240 + 253 + 255}}{8} = ...?\quad \hfill \\ \end{gathered} \]

OpenStudy (i_love_my_nieces):

210.625

OpenStudy (michele_laino):

please, retry, I got \[\bar y = 223\]

OpenStudy (i_love_my_nieces):

ok i mixed up a number

OpenStudy (i_love_my_nieces):

What is my answer

OpenStudy (i_love_my_nieces):

Is it C?

OpenStudy (michele_laino):

now, we have to do such computations: \[\begin{gathered} \sum {\left( {{x_i} - \bar x} \right) = } \hfill \\ \hfill \\ = \left( {67 - 72.875} \right) + \left( {69 - 72.875} \right) + \left( {70 - 72.875} \right) + \hfill \\ \hfill \\ + \left( {72 - 72.875} \right) + \left( {74 - 72.875} \right) + \left( {74 - 72.875} \right) + \hfill \\ \hfill \\ + \left( {78 - 72.875} \right) + \left( {79 - 72.875} \right) = ...? \hfill \\ \end{gathered} \]

OpenStudy (michele_laino):

and: \[\begin{gathered} \sum {\left( {{y_i} - \bar y} \right)} = \hfill \\ \hfill \\ = \left( {183 - 223} \right) + \left( {201 - 223} \right) + \left( {206 - 223} \right) + \hfill \\ \hfill \\ + \left( {220 - 223} \right) + \left( {226 - 223} \right) + \left( {240 - 223} \right) + \hfill \\ \hfill \\ + \left( {253 - 223} \right) + \left( {255 - 223} \right) = ...? \hfill \\ \hfill \\ \end{gathered} \]

OpenStudy (i_love_my_nieces):

-260

OpenStudy (michele_laino):

please wait, I'm checking such result...

OpenStudy (i_love_my_nieces):

I think my answer is C tho

OpenStudy (michele_laino):

I got a different value for \[\sum {\left( {{x_i} - \bar x} \right)} \]

OpenStudy (i_love_my_nieces):

what is it

OpenStudy (michele_laino):

in order to compute the numerator, we have to evalate this quantity: \[\begin{gathered} \sum {\left( {{x_i} - \bar x} \right)\left( {{y_i} - \bar y} \right)} = \hfill \\ \hfill \\ = \left( {67 - 72.875} \right) \cdot \left( {183 - 223} \right) + \left( {69 - 72.875} \right) \cdot \left( {201 - 223} \right) + \hfill \\ \hfill \\ + \left( {70 - 72.875} \right) \cdot \left( {206 - 223} \right) + \left( {72 - 72.875} \right) \cdot \left( {220 - 223} \right) + \hfill \\ \hfill \\ + \left( {74 - 72.875} \right) \cdot \left( {226 - 223} \right) + \left( {74 - 72.875} \right) \cdot \left( {240 - 223} \right) + \hfill \\ \hfill \\ + \left( {78 - 72.875} \right) \cdot \left( {253 - 223} \right) + \left( {79 - 72.875} \right) \cdot \left( {255 - 223} \right) = ...? \hfill \\ \end{gathered} \]

OpenStudy (michele_laino):

evaluate*

OpenStudy (i_love_my_nieces):

Check you PM box @Michele_Laino please

OpenStudy (michele_laino):

I'm very sorry, OpenStudy is a learning website, as we can see fro the Code of Conduct: "Don't provide someone with just the answer - explain the process, and help guide them through \(understanding\) the problem."

OpenStudy (michele_laino):

from*

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