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AVprozaik [17]
4 years ago
13

If the r-value or correlation coefficient of a data set is 0.827, what is the coefficient of determination to three decimal plac

es?
A. 0.884
B. 0.627
C. 0.684
D. 0.827
Mathematics
1 answer:
Scilla [17]4 years ago
6 0

Answer: Option C  

r ^ 2 = 0.684

Step-by-step explanation:

The correlation coefficient r is a measure of how strong the relationship between two variables x and y is.

 If the value of r is positive then the correlation is positive and that implies that the variable x grows together with the variable y.

If the value of r is negative that means that the correlation is negative and that implies that when the variable x grows then the variable y decreases.

Then for a  relationship, the coefficient of determination r ^ 2 is a measure of how well the model fit the data or how accurate the model is. While r is closer to 1, better is the precision of the model.

The coefficient of determination r ^ 2 for a linear relationship is calculated as the square of the correlation coefficient.

In this problem we have that the correlation coefficient r is

r = 0.827

then the coefficient of determination is:

r ^ 2 = 0.827 ^ 2

r ^ 2 = 0.684

The answer is option C

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Answer:

\huge\boxed{\sf 126\° \ OR \ 145 \°}

Step-by-step explanation:

m∠4 + m∠7 = 180    (Adjacent Angles of a parallelogram)

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<u>Either, </u>

x-9 = 0       <u>OR</u>      x+10 = 0

x = 9          <u>OR</u>        x = -10

\rule[225]{225}{2}

Now,

m < 7 = x² + 45

<u>For x = 9</u>

m < 7 = (9)² + 45

m < 7 = 81 + 45

<h3>m < 7 = 126°</h3>

<u>For x = -10</u>

m < 7 = (-10)² + 45

m < 7 = 100 + 45

<h3>m < 7 = 145°</h3>

\rule[225]{225}{2}

Hope this helped!

<h3>~AnonymousHelper1807</h3>
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