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
jarptica [38.1K]
3 years ago
12

Questions 2-7 will all be in regards to this data set:Observation X Y1 20 302 23 353 28 404 26 385 24 376 32 457 35 508 24 349 3

1 4210 23 32What is the Pearson's coefficient of correlation for the data set above?

Mathematics
1 answer:
Tomtit [17]3 years ago
3 0

Answer:

r =0.4437

Step-by-step explanation:

We have the follwoing dataset:

X: 20,23,53,4,24,32,35,24,31,23

Y: 30,35,40,38,37,45,50,34,42,32

n=10

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

And in order to calculate the correlation coefficient we can use this formula:

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

For our case we have this:

n=10 \sum x = 269, \sum y = 383, \sum xy = 10609, \sum x^2 =8645, \sum y^2 =15007  

Th excel figure attached shows the calculations for each sum.

r=\frac{10(10609)-(269)(383)}{\sqrt{[10(8645) -(269)^2][10(15007) -(383)^2]}}=0.4437  

So then the correlation coefficient would be r =0.4437

You might be interested in
What is the value of y?<br> A. 83<br> B. 89<br> C. 96<br> D. 97
Readme [11.4K]

Answer:

<u>A. 83</u> is the correct option.

Step-by-step explanation:

all angles of a triangle are always equal to 180.

46 + 51 + y = 180

97 + y = 180

180 - 97 = <u>83</u>

Have a nice day! :-)

7 0
2 years ago
(18)2(3)2(4)3<br> (6)2(2)3
lord [1]

Answer:

Trrvdddctcfc hfrvhjk

Step-by-step explanation:

8 0
3 years ago
What type of number is 15.3012?
valentinak56 [21]

Answer:

A real number

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
What are considered measures of variability
shusha [124]
Statisticians use summary measures to describe the amount of variability or spread in a set of data. The most common measures of variability are the range, theinterquartile<span> range (</span>IQR<span>), </span>variance<span>, and standard deviation. This is from google btw</span>
7 0
3 years ago
Help pleaseeeee
Pavel [41]

Answer:

3419.46

Step-by-step explanation:

(pir^2h)/3

(3.14(121)(27)/3

3419.46

4 0
3 years ago
Other questions:
  • Choose the correct equivalent factored form for the expression below.<br> X^4 – 121
    15·1 answer
  • Fill in the missing dimensions. Round your answer to the nearest tenth
    5·1 answer
  • When points a and b(-3,4) are graphed in the standard (×,y)coordinate plane the mid point about will be (1,2) what will be coord
    13·1 answer
  • what is the slope of the line below? If necessary, enter your answer as a fraction in lowest terms, using the slash as the fract
    6·2 answers
  • The graph of a non-invertible function passes through the points (−2,4), (0,2), and (3,−2).
    6·1 answer
  • Hey could someone please help me understand the question. Ill give brainliest.
    7·2 answers
  • Olivia and Cody both have spinners with the color purple. Olivia determines that the probability of spinning purple on her spinn
    15·1 answer
  • Kevin and Randy Muise have a jar containing 32 ​coins, all of which are either quarters or nickels. The total value of the coins
    9·1 answer
  • Help, please the question and thank you
    14·2 answers
  • Use the number line to find each product<br> - (3)(-3) =
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!