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Mashutka [201]
3 years ago
11

For a certain data set the regression equation is y = 2 + 3x. The correlation coefficient between y and x in this data set _____

__.
A. Must be 0


B. Is negative


C. Must be 1


D. Must be 3
Mathematics
1 answer:
lozanna [386]3 years ago
7 0

Answer:

C. Must be 1

Step-by-step explanation:

The correlation coefficient of an equation represents the relation between the  two variable ( dependent and independent )

It lies between -1 to 1,

If an equation has strongly positive correlation then the value of correlation coefficient is 1,

If there is no relation then the value of correlation is 0,

If there is strongly negative relation then the value of correlation coefficient is -1,

Here, the equation is,

y = 2 + 3x

Since, the value of y is increasing with increasing the value of x,

We can say that there is strong positive relation between the variables x and y,

Hence, by the above statements,

The correlation coefficient between y and x in this data set must be 1.

Option 'C' is correct.

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Ten individuals are candidates for a committee. Two will be selected. How many different pairs of individuals can be selected?
Nina [5.8K]

Answer:

45

Step-by-step explanation:

The different pairs of individual can be computed using rule of combination.

The combination is denotes as nCr.

nCr=n!/(r!(n-r)!)

In the given problem n=total candidates=10 and r= Selected candidates=2.

10C2=10!/(2!(10-2)!)

10C2=10*9*8!/(2!8!)

10C2=90/2

10C2=45

So, 45 different pairs of individuals can be selected.

6 0
3 years ago
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Mashutka [201]

Answer:

Last option is the correct answer.

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Step-by-step explanation:

Since, 61° + 57° + 61° = 179° < 180°

Therefore,

m\angle A = 61°, m\angle B = 57°, m\angle C = 61° cannot be the measurements of triangle ABC.

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3 years ago
Simplify the expression by combining like terms.
Tju [1.3M]

Answer:

8x + 13

Step-by-step explanation:

"Like terms" means the same kind of algebraic expression...the 6x and the 2x are "like terms" because they both have an x in them. The 9 and the 4 are both constants, which means they are plain numbers. So 6x and 2x is 8x .

9+4 is 13 just like elementary school.

So all together,

6x + 9 + 2x + 4

6x + 2x + 9 + 4

8x + 13

We can rearrange the terms because the problem has all addition in between the terms.

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nataly862011 [7]

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If your looking for X, it would be X = 7
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