Which set of side lengths forms a right triangle?
2 answers:
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Answer:
The correlation coefficient of the data is 0.8679.
Step-by-step explanation:
The formula to compute the correlation coefficient is:
From the data provided compute the values of ∑ XY, ∑ X, ∑ Y, ∑ X² and ∑ Y².
The values are computed in the table below.
Compute the correlation coefficient as follows:
Thus, the correlation coefficient of the data is 0.8679.
Well, is the function continuous? yes, is a cubic one, you can graph it if you wish, is continuous all the way, and of course at [ 0, 4] too.
is it differentiable? you can always look at the graph between 0,4 and is a smooth transition line, thus yes, it is differentiable, but let's check anyway,
its derivative has no asymptotes and therefore no "cusps", so yes, is differentiable all around.
is f(0) = f(4), let's check
f(0) = 0+0+0+3, f(0) = 3
f(4) = 64 - 16 - 48 + 3, f(4) = 3
yeap
there must then be a "c" value(s) with a horizontal tangent slope, let's check, is really just the critical points.
is it differentiable? you can always look at the graph between 0,4 and is a smooth transition line, thus yes, it is differentiable, but let's check anyway,
is f(0) = f(4), let's check
f(0) = 0+0+0+3, f(0) = 3
f(4) = 64 - 16 - 48 + 3, f(4) = 3
yeap
there must then be a "c" value(s) with a horizontal tangent slope, let's check, is really just the critical points.