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Tatiana [17]
3 years ago
8

Pls help me if u do i will give u the best answer (well of course)

Mathematics
2 answers:
jolli1 [7]3 years ago
4 0
Do we have to solve for x?
laila [671]3 years ago
3 0
Let's solve your equation step-by-step.
<span><span><span><span>14</span><span>(<span><span>3x</span>−16</span>)</span></span>+<span><span>14</span>x</span></span>=<span>5<span>13
</span></span></span>Step 1: Simplify both sides of the equation.
<span><span>x−4</span>=<span>163
</span></span>Step 2: Add 4 to both sides.
<span><span><span>x−4</span>+4</span>=<span><span>163</span>+4</span></span><span>x=<span>283
</span></span><u>Answer:
</u><span>x=<span>9<span>1<span>3</span></span></span></span>
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What is the value of the correlation coefficient r of the data set?
enyata [817]

The correct option will be:  C) 0.84

<u><em>Explanation</em></u>

Formula for Correlation coefficient :

r= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{\sqrt{[n\Sigma x^2-(\Sigma x)^2][n\Sigma y^2-(\Sigma y)^2]}}

First, for each point(x, y), we need to calculate x², y² and xy .

Then, we will find sum all x, y, x², y² and xy, which gives us Σx, Σy, Σx², ∑y² and Σxy

<em>(Please refer to the attached image for the table )</em>

Here we got, ∑x = 44 , ∑y = 183 , ∑x² = 362 , ∑y² = 6575 and ∑xy = 1480

'n' is the total number of data set, which is 7 here.

So, plugging those values into the above formula..........

r= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{\sqrt{[n\Sigma x^2-(\Sigma x)^2][n\Sigma y^2-(\Sigma y)^2]}}\\ \\ r=\frac{7(1480)-(44)(183)}{\sqrt{[7(362)-(44)^2][7(6575)-(183)^2]}}\\ \\ r=\frac{10360-8052}{\sqrt{(598)(12536)}}\\ \\ r=\frac{2308}{\sqrt{7496528}}\\ \\ r=0.84

So, the value of the correlation coefficient is 0.84

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