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Scrat [10]
3 years ago
12

Solve for x. will give brainlkest

Mathematics
1 answer:
Veronika [31]3 years ago
7 0
Simplify both sides of the equation.
<span><span><span>(−7.8)(x)</span>+<span>(−7.8)(6.5)</span></span>=−25.74 </span>  <span><span><span>−7.8x+</span>−50.7</span>=−25.74 -> </span>−7.8x−50.7=−25.74
<span>Add 50.7 to both sides.
</span><span><span>−7.8x−50.7</span>+50.7</span>=−25.74+50.7 -> −7.8x = <span>24.96
</span><span>Divide both sides by -7.8.
</span><span>−7.8x /−7.8  </span>=  <span>24.96/<span>−<span>7.8
</span></span></span><span>And as a decimal
X= </span><span>−3.2

Hope this helped. (got taken off because I did the steps? oo well)</span>
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Answer:

r =0.4437

Step-by-step explanation:

We have the follwoing dataset:

X: 20,23,53,4,24,32,35,24,31,23

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The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

And in order to calculate the correlation coefficient we can use this formula:

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

For our case we have this:

n=10 \sum x = 269, \sum y = 383, \sum xy = 10609, \sum x^2 =8645, \sum y^2 =15007  

Th excel figure attached shows the calculations for each sum.

r=\frac{10(10609)-(269)(383)}{\sqrt{[10(8645) -(269)^2][10(15007) -(383)^2]}}=0.4437  

So then the correlation coefficient would be r =0.4437

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Answer:

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