MEDALS
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
Can you help me, @callielovesyhuu
@Michele_Laino
@pooja195
FREE?
we have to apply the corresponding formula
free medals
Oh there is a question >.<
._.
free medals
No free medal you get one if you answer my question CORRECTLY
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 \(r\)
\[\Large r = \frac{{\sum {\left( {{x_i} - \bar x} \right)\left( {{y_i} - \bar y} \right)} }}{{{{\left\{ {\sum {{{\left( {{x_i} - \bar x} \right)}^2} \times \sum {{{\left( {{y_i} - \bar y} \right)}^2}} } } \right\}}^{1/2}}}}\]
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 \({\bar y}\)
I have a lot to do so could you hurry up
what you are typing is making no since to me
such formulas, are the standard formulas in order to compute the requested coefficient of correlation
What is my answer?
I think it is B
please, I have indicated the right way, and now you have to do such computation on your own
I. DO. NOT. UNDERSTAND.
I have told you that
I'm sorry, I can't give the direct answer, since it is against the code of conduct
I can guide you, step by step, to the final answer
Type it out and i will read it
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
i dont understand for the third time
for example, we have this: \[\begin{gathered} \bar x = \frac{{\sum {{x_i}} }}{N} = \hfill \\ \hfill \\ = \frac{{67 + 69 + 70 + 72 + 74 + 74 + 78 + 79}}{8} = ...? \hfill \\ \end{gathered} \]
72. 875
that's right! similarly, we can write this: \[\begin{gathered} \bar y = \frac{{\sum {{y_i}} }}{N} = \hfill \\ \hfill \\ = \frac{{183 + 201 + 206 + 220 + 226 + 240 + 253 + 255}}{8} = ...?\quad \hfill \\ \end{gathered} \]
210.625
please, retry, I got \[\bar y = 223\]
ok i mixed up a number
What is my answer
Is it C?
now, we have to do such computations: \[\begin{gathered} \sum {\left( {{x_i} - \bar x} \right) = } \hfill \\ \hfill \\ = \left( {67 - 72.875} \right) + \left( {69 - 72.875} \right) + \left( {70 - 72.875} \right) + \hfill \\ \hfill \\ + \left( {72 - 72.875} \right) + \left( {74 - 72.875} \right) + \left( {74 - 72.875} \right) + \hfill \\ \hfill \\ + \left( {78 - 72.875} \right) + \left( {79 - 72.875} \right) = ...? \hfill \\ \end{gathered} \]
and: \[\begin{gathered} \sum {\left( {{y_i} - \bar y} \right)} = \hfill \\ \hfill \\ = \left( {183 - 223} \right) + \left( {201 - 223} \right) + \left( {206 - 223} \right) + \hfill \\ \hfill \\ + \left( {220 - 223} \right) + \left( {226 - 223} \right) + \left( {240 - 223} \right) + \hfill \\ \hfill \\ + \left( {253 - 223} \right) + \left( {255 - 223} \right) = ...? \hfill \\ \hfill \\ \end{gathered} \]
-260
please wait, I'm checking such result...
I think my answer is C tho
I got a different value for \[\sum {\left( {{x_i} - \bar x} \right)} \]
what is it
in order to compute the numerator, we have to evalate this quantity: \[\begin{gathered} \sum {\left( {{x_i} - \bar x} \right)\left( {{y_i} - \bar y} \right)} = \hfill \\ \hfill \\ = \left( {67 - 72.875} \right) \cdot \left( {183 - 223} \right) + \left( {69 - 72.875} \right) \cdot \left( {201 - 223} \right) + \hfill \\ \hfill \\ + \left( {70 - 72.875} \right) \cdot \left( {206 - 223} \right) + \left( {72 - 72.875} \right) \cdot \left( {220 - 223} \right) + \hfill \\ \hfill \\ + \left( {74 - 72.875} \right) \cdot \left( {226 - 223} \right) + \left( {74 - 72.875} \right) \cdot \left( {240 - 223} \right) + \hfill \\ \hfill \\ + \left( {78 - 72.875} \right) \cdot \left( {253 - 223} \right) + \left( {79 - 72.875} \right) \cdot \left( {255 - 223} \right) = ...? \hfill \\ \end{gathered} \]
evaluate*
Check you PM box @Michele_Laino please
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."
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