All categories

3 years ago

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

Mathematics

2 answers:

bearhunter [10]3 years ago

4 0

Answer:

-.91

Step-by-step explanation:

I'm not 100% sure, because i don't have graphing calculator on me, but the correlation coefficient is how well the line of best fit goes with the data, and the data points on the graph look like they match the line. The closer the correlation coefficient is to 1 or -1, means that it has a strong correlation coefficient. It's negative because the slope of the line is negative. If you really want to make sure, you can plug it into a graphing calculator in STAT.

IceJOKER [234]3 years ago

4 0

Answer: -0.91

Step-by-step explanation:

A linear relationship is said to be strong if the points on graph are close to a straight line ( correlation coefficient is nearest to 1) and weak if they widely scattered about the line ( correlation coefficient is nearest to -1) .

From the given graph it appeaser to be a strong negative correlation as the points are moving downwards diagonally close to a line which shows if one variable increases , the other decreases.

It means the correlation coefficient must be the nearest value to -1, i.e. -0.91.

Thus, the correlation coefficient most likely for the set of data shown =-0.91

You might be interested in

Help please. Very easy

bonufazy [111]

The sum of six times a number & 5.
explanation: b is your variable which is going to by multiplied by 6, since there is no other symbol next to it. afterwards, you would add 5 to get your final answer.

3 0

2 years ago

The shape has which of the following coordinates

Rasek [7]

Step-by-step explanation:

1a. ( 3, -4)

1b. ( 8, -2)

1c. ( 10, -10)

hope it helps!

4 0

3 years ago

(X^4)-(45x^2)+324 what are the zeroes? And how many turning points?

dmitriy555 [2]

Zeroes:

We must solve

$x^4-45x^2+324=0$

To do so, we define the auxiliary variable $t=x^2$ . The equation becomes

$t^2-45t+324=0$

The quadratic formula yields the solutions

$t=9,\quad t=36$

Substituting back $t=x^2$ gives

$x^2=9 \iff x=\pm 3,\quad x^2=36 \iff x=\pm 6$

So, the zeroes are -6, -3, 3, 6.

Turning points:

Turning points are points where a function stops being increasing to become decreasing, or vice versa. Since functions are increasing when their first derivative is positive and decreasing when it's negative, turning points are points where the first derivative is zero.

We have

$f(x)=x^4-45x^2+324 \implies f'(x)=4x^3-90x$

If we set the derivative to be zero, we have

$4x^3-90x=0 \iff x(4x^2-90)=0$

So, the derivative is zero if x=0 or

$4x^2=90 \iff 2x^2=45 \iff x^2=\dfrac{45}{2}\iff x=\pm\sqrt{\dfrac{45}{2}}$

6 0

3 years ago

Dharmesh has a square garden with the perimeter of 132 feet is the area of the garden greater than 1000 square feet

k0ka [10]

Yes, the area of the garden is greater than 1000 sq. ft.

132 = total perimeter
A square has 4 sides
132/4 = 33
A= LxW
A= 33 x 33
A= 1089 sq. ft.

7 0

3 years ago

Use the following information to answer problems 14-16: Suppose that in a large metropolitan area, 82% of all households have ca

Helen [10]

Answer:

66.6% or 0.66

Step-by-step explanation:

82% or 0.82 of All households have cable TV.

X = The number of households in a group of 6, that have cable TV.

You wish to find the proportion or percentage of groups for which EXACTLY 4 of 6 households will have cable TV.

82% of 6 is = 4.92

Approximately 4.92 out of 6 households, have cable TV.

Using this figure, you can now find out what % of 6 will give you 4.

Cross multiply:

0.82 - 4.92

M - 4

M = (4×0.82) ÷ 4.92 = 3.28÷4.92 = 0.666

Hence, 66.6% of 6 households, have cable TV. In other words, exactly 4 households (X=4) have cable TV.

To test, you can find what 66% of 6 is. You will get 4.

6 0

3 years ago