Which of the following r-values represents the strongest correlation?

Mathematics

2 answers:

borishaifa [10]3 years ago

7 0

The correct answer is B

earnstyle [38]3 years ago

5 0

Answer:

Step-by-step explanation:

Solution:-

- Correlation defines the relationship between two variables.

- The correlation coefficient (r) defines the strength/intensity as to how strong or weak the correlation is between the variables under consideration. The sign either ( + or - ) defines the nature of relationship between variables.

+ : positive relationship. ( if one increases the other variable also increases )

- : Negative relationship. ( if one increases the other variable decreases )

- The range of the correlation coefficient (r) is:

-1 < r < 1

Where, 1 : Strongest positive relationship

-1 : Strongest negative relationship

0 : No relationship.

- So the strongest relationship in positive domain only is given by the largest value of (r). In this case it is r = 0.92.

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Write the slope-intercept form of the equation of each line

Vera_Pavlovna [14]

First let's talk about the blue line.

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We have thusly,

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Now look at where blue line intercepts y-axis, -1. That is our n.

So the blue line has the equation of,

$y=x-1$

Next the black lines. The black lines are axes so their equations are a bit different.

First let's deal with x-axis, does it have slope? Yes but it is 0. The x-axis is still, not rising nor falling. Where does x-axis intercept y-axis? At 0. So the equation would be,

$y=0x+0=0$

Now we have y-axis. Does y axis have a slope? Yes but it is $\infty$ . The y-axis rises infinitely in no run. Where does it intercept y-axis? Everywhere! So what should the equation be? What if we ask where does y-axis intercept x-axis and write its equation in terms of x. Y-axis intercepts x-axis at 0 which means its equation is,