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3 years ago

Which is most likely the correlation coefficient for the set of data shown?

Mathematics

1 answer:

Sonja [21]3 years ago

8 0

The correlation coefficient of a scatter plot with line of best fit shown will be the slope of the line.

We can eliminate last 2 choices because the line is clearly a downward sloping line and it's slope wont be positive.

From the first two, it looks like the plot's slope is very close to -1. So we take -0.91, instead of -0.35. [note: 0.91 is more steeper than 0.35 (which is very relaxed)]

ANSWER: -0.91

You might be interested in

Write the equation of the line that passes through the points

sesenic [268]

Answer:

$y+5=2(x-3)$ or $y+9=2(x-1)$

Step-by-step explanation:

step 1

Find the slope of the line

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the ordered pairs

(3,-5) and (1,-9)

substitute the values

$m=\frac{-9+5}{1-3}$

$m=\frac{-4}{-2}$

$m=2$

step 2

Find the equation in point slope form

$y-y1=m(x-x1)$

Analyze two cases

First case

we have

$m=2$

$point\ (3,-5)$

substitute

$y+5=2(x-3)$

Second case

we have

$m=2$

$point\ (1,-9)$

substitute

$y+9=2(x-1)$

Note: The equation of the line in point slope form varies according to the point you choose, in contrast to the slope-intercept form

6 0

3 years ago

If 10a+10b=35, what is the average (arithmetic mean) of a and b?

worty [1.4K]

Answer:

1.75

Step-by-step explanation:

If a and b are two numbers, then their arithmetic mean is

$\dfrac{a+b}{2}$

Given:

$10a+10b=35$

Divide this equation by 10:

$a+b=3.5$

Now, divide it by 2:

$\dfrac{a+b}{2}=\dfrac{3.5}{2}\\ \\\dfrac{a+b}{2}=1.75$

6 0

4 years ago

Find the associated reflex angle measure for an angle of 60°

sergij07 [2.7K]

The reflex angle is the other angle
see image below

so
reflex=360-angle
reflex=360-60=300
reflex angle=300

8 0

3 years ago

Renee can see a 25 square foot quilt in 16 hours. Genera can sew the same size quilt in 12 hours. How long would it take them to

scoundrel [369]

28 hours because they are too long from each other

3 0

4 years ago

Read 2 more answers

253,248,243, find the 49th term.

denpristay [2]

Answer:

Step-by-step explanation:

the difference is -5

nth=a+(n-1)d
a=253,n=49,d=5
253+(49-1)×-5
253+48×-5
253+(-240)
253-240=13

the 49th term is 13

8 0

3 years ago