Which statement best describes the association between variable X and variable Y?

Mathematics

2 answers:

Xelga [282]3 years ago

8 0

As shown in the graph y variables increases with the increase in x variables, so it is positive association.

By graphing a line between the points providing that it will in the middle towards up, it will be a moderately positive association.

The correct answer is the fourth option.

NISA [10]3 years ago

8 0

Answer:

Moderate positive association

Step-by-step explanation:

Given is a scatter graph with points marked on the graph. The x axis shows the dependent variable and y axis the independent variable

From the graph we see that there seems to be a linear relationship but not fully perfect. Because so many points deviate from the line we can only say that there is a moderate association.

Whenever x increases y increases also the linear regression line of fit has a positive scope.

Hence there is a positive association between variable x and variable Y.

So option 4 is right

Moderate positive association

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Let a= x^2 +4. Rewrite the following equation in terms of a and set it equal to zero.

dusya [7]

Answer:

If:

$a=x^{2}+4$ (1)

And we have to rewrite the following expresion in terms of $a$ :

${(x^{2}+4)}^{2}+32=12x^{2}+48$ (2)

Firstly we have to rearrange the right side of equation (2) in terms of $x^{2}+4$ , factorizing by the common factor:

${(x^{2}+4)}^{2}+32=12(x^{2}+4)$

Then, we can substitute $x^{2}+4$ by $a$ :

$a^{2}+32=12a$

And set it equal to zero:

$a^{2}-12a+32=0$ >>>>This is the resulting equation

Now, each term of an algebraic expresion (like the equation above) is composed of sign, coefficient, variable and exponent. The terms are separated from each other by the plus sign (+) or the minus sign (-).

In this case, the variable is $a$ and the number that multiplies the variable (the coefficient) is $-12$ , whereas the constant (which is the term with no variable) is $32$