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77julia77 [94]
3 years ago
11

coby analyzes a data set and finds that r = 0.88. what is the coefficient of determination for his data set?

Mathematics
1 answer:
trapecia [35]3 years ago
5 0

Answer:

R^{2}=0.7744

Step-by-step explanation:

r represents the correlation coefficient between two sets of data. It is a measure of the degree of association between the two sets of data and gives insight into the strength and direction of the relationship.

On the other hand, R^{2} is the coefficient of determination for a given data set. It is a measure of the predictive power of a linear model.

Given r, R^{2} is simply the square of r;

in this case we are given, r = 0.88. Therefore, R^{2}=0.88^{2}\\\\R^{2}=0.7744

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Which expression finds the measure of an angle that is coterminal with a 45° angle? 45° 90° 45° 180° 45° 270° 45° 360°.
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The measure of an angle is the coterminal angle with a 45A°+360A° and can be determined by using the measurement of coterminal angles.

<h2>We have to determine</h2>

Which expression finds the measure of an angle that is coterminal with a 45° angle?

<h3>According to the question,</h3>

Coterminal angles are those angles that share the terminal side of an angle occupying the standard position.

The standard position means that one side of the angle is fixed along the positive x-axis, and the vertex is located at the origin.

<h3>A coterminal with 45° is 45°+k°360° with k as an integer.</h3>

Then,

The coterminal angle with 45°,

When k = 0

Then,

\rm = 45+(0)360\\\\= 45+0\\\\= 45 \ degree

When k = 1

Then,

\rm = 45+(1)360\\\\= 45+360\\\\= 405 \ degree

When k = -1

Then,

\rm = 45+(-1)360\\\\= 45-360\\\\= -315 \ degree

Hence, The measure of an angle that is coterminal with a 45A°+360A°.

For more details about the Coterminal angle refer to the link given below.

brainly.com/question/12378421

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2 years ago
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