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4 years ago

If the r-value, or correlation coefficient, of a data set is 0.926, what is the

Mathematics

2 answers:

Elis [28]4 years ago

5 0

<u>Answer:</u>

The correct answer option is D. 0.857

<u>Step-by-step explanation:</u>

We are given the correlation coefficient, of a data set to be 0.926 and we are to find the coefficient of determination to three decimal places.

To find that, we will use the following formula:

Coefficient of determination = $r ^ 2$

$r ^ 2$ = $( 0 . 9 2 6 ) ^ 2$ = 0.857

n200080 [17]4 years ago

4 0

Answer:

D. 0.857

Step-by-step explanation:

The coefficient of determination, R-squared, is simply the square of the correlation coefficient;

R-squared = r^2

R-squared = 0.926^2

R-squared = 0.857

Therefore, the coefficient of determination is 0.857.

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A Standard number is<br> tossed find each<br> Probability.<br> P (4 or less than 6)

Klio2033 [76]

the probability of rolling 4 or a number less than 6 is P = 5/6

<h3 /><h3>How to find the probability?</h3>

The standard number cube has the outcomes {1, 2, 3, 4, 5, 6}

We want to find the probability of rolling 4 or a number less than 6. (4 is a number less than 6).

The outcomes that meet that condition are:

{1, 2, 3, 4, 5}

So 5 out of 6 outcomes meet the condition, then the probability is:

P(4 or less than 6) = 5/6

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1 year ago

Reiko takes 2 coins at random from the 3 quarters, 5 dimes, and 2 nickels in her pocket. three coins are tossed. what is the pro

I am Lyosha [343]

The answers are 3/8 and 1/6.

There are 8 possible outcomes in the sample space for flipping 3 coins. Of those, 3 include two heads and 1 tail. This makes the probability 3/8.

Choosing a quarter for the first coin is 3/10, since there are 3 quarters out of 10 coins. After this, choosing a dime is given by 5/9, since there are 5 dimes out of 9 coins left:
3/10(5/9) = 15/90 = 1/6

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3 years ago

What index of m will be 1/m

Mashcka [7]

Answer:

-1.

Step-by-step explanation:

1/m = m^-1.

We can show this is correct if we simplify the following:

m^2 / m ^3 = m * m / m * m* m = 1/m

By the law of indices: m ^2 / m^3 = m^(2-3) = m^-1.

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3 years ago

Compute the Taylor expansion of order n=2 of the function sin(xy) at x=0 and y=0

artcher [175]

Answer:

f(x, y) = Sin(x*y)

We want the second order taylor expansion around x = 0, y = 0.

This will be:

$f(x,y) = f(0,0) + \frac{df(0,0)}{dx} x + \frac{df(0,0)}{dy} y + \frac{1}{2} \frac{d^2f(0,0)}{dx^2} x^2 +\frac{1}{2} \frac{d^2f(0,0)}{dy^2}y^2 + \frac{d^2f(0,0)}{dydx} x*y$