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jekas [21]
3 years ago
6

What is the distance between A and B? Round your answer to the nearest hundredth.

Mathematics
1 answer:
Reika [66]3 years ago
6 0
An extension of the Pythagorean Theorem results in what is the so-called "distance formula".

d^2=(x2-x1)^2+(y2-y1)^2, in this case you have points (-2,4) and (2,0) so:

d^2=(2--2)^2+(0-4)^2

d^2=4^2+(-4)^2

d^2=16+16

d^2=2*16

d=√32  units

d=√(2*16)

d=4√2 units

d≈5.66 units (to nearest hundredth of a unit)
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If you don't want to do it manually and have a graphing calculator (which I recommend) then you can use that to find the line of best fit (and if you want then you can see how precise your points are with your r^2 value). Or there is a website (http://illuminations.nctm.org/Activity.aspx?id=4186), which you can use to help you to find the equation of that particular line. 

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Step-by-step explanation:

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abruzzese [7]

The computer regression output includes the R-squared values, and adjusted R-squared values as well as other important values

a) The equation of the least-squares regression line is \underline {\hat y = 235 \cdot x + 10835}

b) The correlation coefficient for the sample is approximately 0.351

c) The slope gives the increase in the attendance per increase in wins

Reasons:

a) From the computer regression output, we have;

The y-intercept and the slope are given in the <em>Coef</em> column

The y-intercept = 10835

The slope = 235

The equation of the least-squares regression line is therefore

\underline {\hat y = 235 \cdot x + 10835}

b) The square of the correlation coefficient, is given in the table as R-sq = 12.29% = 0.1229

Therefore, the correlation coefficient, r = √(0.1229) ≈ 0.351

The correlation coefficient for the sample, r ≈ <u>0.351</u>

c) The slope of the least squares regression line indicates that as the number of attending increases by 235 for each increase in wins

Learn more here:

brainly.com/question/2456202

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