1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
rodikova [14]
3 years ago
12

What is the correlation coefficient with the following data points: (1,14), (3,10), (5,16)

Mathematics
2 answers:
Vladimir [108]3 years ago
8 0

Answer:

Option 3 - 0.3

Step-by-step explanation:

Given : Data points : (1,14), (3,10), (5,16).

To find : What is the correlation coefficient with the following data points?

Solution :  

Let X= 1,3,5

And Y=14,10,16

N is the number of points i.e, N=3

The formula of correlation coefficient is  

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{(n\sum x^{2}-(\sum x)^{2})(n\sum y^{2}-(\sum y)^{2})}}}

Now, we find term by term

\sum x = 1+3+5=9

\sum y = 14+10+16=40

\sum xy =14+30+80=124

\sum x^{2}= 1+9+25=35

\sum y^{2}=196+100+256=552

Substitute all the values in the formula,

r=\frac{3(124)-(9)(40)}{\sqrt{{(3(35)-(9)^{2})(3(552)-(40)^{2})}}}

r=\frac{372-360}{\sqrt{{(105-81)(1656-1600)}}}

r=\frac{12}{\sqrt{{(24)(56)}}}

r=\frac{12}{\sqrt{1344}}

r=\frac{12}{36.66}

r=0.32

Therefore, The correlation coefficient is 0.3.

So, option 3 is correct.    

motikmotik3 years ago
4 0
The correct answer is 0.3
Hope this helps you
You might be interested in
And this one <br> the equation up top is f(x)=-2x^2+3
VMariaS [17]

Answer:

5

Step-by-step explanation:

2^2= 4

-4*2=-8

-8+3=5

3 0
3 years ago
Trish takes out a furniture loan of $5500 and a simple interest rate of 6% per year which of the following is closest to the amo
Step2247 [10]

Answer:

F

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year,

then, solving our equation

I = 5500 × 0.06 × 2.5 = 825

I = $ 825.00

The simple interest accumulated

on a principal of $ 5,500.00

at a rate of 6% per year

for 2.5 years is $ 825.00.

3 0
2 years ago
Help me please. Very much appreciated​
tamaranim1 [39]

Answer:

51 m^2

Step-by-step explanation:

Area = 11(3) + 6(3) = 51 m^2

4 0
2 years ago
Read 2 more answers
Write the slope-intercept form of the equation through (4, 2) perpendicular to LaTeX: y=4x-4
marin [14]

Answer:

y=4x-4

slope of the line=-4/-1

                             4/1

since perpendicular,

    m1.m2=-1

    4.m2=-1

    m2=-1/4

The equation of line passing through the point (4,2)is

  y-y1=m2(x-x1)

  y-2=-1/4(x-4)

Step-by-step explanation:

i don't say that you have to mark my ans as brainliest but my friend if  it has helped you a bit also don't forget to thank me.....

3 0
3 years ago
Solve for x. round to nearest hundredth. PLS HELPP. will award brainliest
DENIUS [597]

Answer:

18.03

Step-by-step explanation:

<u>Formula:</u> a^{2}+b^{2}=c^{2}

15^{2}+10^{2}=x^{2}

225+100=x^{2}

x^{2}=325

x = 5\sqrt{13}=18.03

6 0
2 years ago
Other questions:
  • Divide.
    15·1 answer
  • What is the perimeter of parallelogram WXYZ?
    15·1 answer
  • Peaches are being sold for $2 per pound. If x represents the number of pounds of peaches bought and y represents the total cost
    7·2 answers
  • If n is a number write an algebraic expression for.....<br><br> Fifteen more than a number
    7·2 answers
  • The ratio of the number of hippos to the number of crocodiles at a watering hole is 4:3. How many crocodiles would there be if t
    8·2 answers
  • What is the meaning of implicit?
    11·1 answer
  • I need help solving the paint questions ​
    14·1 answer
  • This is for a quiz someone help plz thankss
    11·1 answer
  • The boys combine their cans and take them to the local recycling center at the end of the three months. If the recycling center
    8·2 answers
  • Eight years ago, Marilyn invested $1000 in a stock. The table shows the
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!