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Mathematics 17 Online
OpenStudy (daniellelovee):

@dan815

OpenStudy (daniellelovee):

OpenStudy (dan815):

hm

OpenStudy (daniellelovee):

do you know how to do it?

OpenStudy (dan815):

not really

OpenStudy (dan815):

try taking a loook at the line of best fit, see the differences from the expected to real

OpenStudy (daniellelovee):

is it the difference between the values?

OpenStudy (daniellelovee):

in any case if you don't know how to do this may I ask for another person's help? Im asking because I don't want to offend you by asking someone else since you have helped me

OpenStudy (daniellelovee):

@dan815 ?

OpenStudy (dan815):

oh no ofcourse, go ahead

OpenStudy (daniellelovee):

alright thank you @ParthKohli

OpenStudy (daniellelovee):

@ganeshie8

OpenStudy (daniellelovee):

@mathmate @mathmale

OpenStudy (daniellelovee):

@Michele_Laino

OpenStudy (michele_laino):

I think that we have to compute the relative change going from one reading level to the subsequent reading level, and then we have to compute the average value from the values so obtained. For example, we have this first relative change: \[{r_1} = \frac{{5.5 - 4.8}}{{7.2 - 5.1}} \cdot 100 = 33.3\% \] so, please do the same for other reading levels

OpenStudy (michele_laino):

next, we have: \[{r_2} = \frac{{6.1 - 5.5}}{{6.3 - 7.2}} \cdot 100 = - 66.6\% \]

OpenStudy (daniellelovee):

would it help if I gave you my options?

OpenStudy (michele_laino):

yes!

OpenStudy (daniellelovee):

78.5% 88.7% 92.2% 81.5%

OpenStudy (briannaontimeforreal):

hey how can i help

OpenStudy (daniellelovee):

@Michele_Laino is already helping but you can help me on my next question if you'd like :)

OpenStudy (michele_laino):

with my procedure, I got \(83\%\)

OpenStudy (briannaontimeforreal):

ok bye

OpenStudy (daniellelovee):

alright thank you :) and the closest value is 85

OpenStudy (michele_laino):

please keep in mind that you have to compute an average value of the percentages obtained, namely an arithmetic average

OpenStudy (daniellelovee):

how do I do that?

OpenStudy (daniellelovee):

@Michele_Laino

OpenStudy (michele_laino):

it is simple. From my method above, I got the subsequent percentages: \[\begin{gathered} {r_1} = \frac{{5.5 - 4.8}}{{7.2 - 5.1}} \cdot 100 = 33.3\% ,\quad {r_2} = \frac{{6.1 - 5.5}}{{6.3 - 7.2}} \cdot 100 = - 66.6\% \hfill \\ \hfill \\ {r_3} = \frac{{7.9 - 6.1}}{{8.5 - 6.3}} \cdot 100 = 82\% ,\quad {r_4} = \frac{{6.2 - 7.9}}{{7.7 - 8.5}} \cdot 100 = 213\% \hfill \\ \hfill \\ {r_5} = \frac{{7.9 - 6.2}}{{9.3 - 7.7}} \cdot 100 = 106\% ,\quad {r_6} = \frac{{4.3 - 7.9}}{{5 - 9.3}} \cdot 100 = 84\% \hfill \\ \hfill \\ {r_7} = \frac{{6.1 - 4.3}}{{6.4 - 5.0}} \cdot 100 = 129\% \hfill \\ \end{gathered} \]

OpenStudy (michele_laino):

so I compute the average percentage, like below: \[\bar r = \frac{{33 - 66 + 82 + 213 + 106 + 84 + 129}}{7} = 83\% \]

OpenStudy (daniellelovee):

that makes a lot of sense I will revise it in case there was some mistake in the calculation that is not allowing a result from the choices to appear

OpenStudy (michele_laino):

ok! :)

OpenStudy (daniellelovee):

I got 83% as well

OpenStudy (daniellelovee):

so I guess I will go with 85 since is more similar @Michele_Laino

OpenStudy (michele_laino):

among the options you provided, I don't see 88%

OpenStudy (michele_laino):

oops.. I meant I don't see 85%

OpenStudy (daniellelovee):

78.5% 88.7% 92.2% 85.1% yeah lol my bad

OpenStudy (michele_laino):

ok! I think that, if my procedure is the right one, then we can choose 85.1%

OpenStudy (daniellelovee):

alright thank you very much :)

OpenStudy (michele_laino):

:)

OpenStudy (daniellelovee):

and you were correct thank you sooooo much :) are available to help me with more problems please?

OpenStudy (daniellelovee):

@Michele_Laino

OpenStudy (michele_laino):

ok!

OpenStudy (daniellelovee):

alright thank you :)

OpenStudy (mathmate):

@Daniellelovee Have you done linear regression yet? It is the so called "best" line that passes through or near all the data points, using least squares. I have calculated the linear regression line which most people use to "predict" values, and the slope of the regression line is 77.9%. This might be useful if you have already done linear regression lines.

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