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
andre [41]
1 year ago
8

A professor went to a website for rating professors and looked up the quality rating and also the "easiness" of the six full-tim

e professors in onedepartment. The ratings are 1 (lowest quality) to 5 (highest quality) and 1 (hardest) to 5 (easiest). The numbers given are averages for eachprofessor. Assume the trend is linear, find the correlation, and comment on what it means.

Mathematics
1 answer:
Marat540 [252]1 year ago
7 0

We are asked to determine the correlation factor "r" of the given table. To do that we will first label the column for "Quality" as "x" and the column for "Easiness" as "y". Like this:

Now, we create another column with the product of "x" and "y". Like this:

Now, we will add another column with the squares of the values of "x". Like this:

Now, we add another column with the squares of the values of "y":

Now, we sum the values on each of the columns:

Now, to get the correlation factor we use the following formula:

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

Where:

\begin{gathered} \Sigma xy=\text{ sum of the column of xy} \\ \Sigma x=\text{ sum of the column x} \\ \Sigma y=\text{ sum of the column y} \\ \Sigma x^2=\text{ sum of the column x\textasciicircum2} \\ \Sigma y^2=\text{ sum of the column y\textasciicircum2} \\ n=\text{ number of rows} \end{gathered}

Now we substitute the values, we get:

r=\frac{\left(6)(70.56)-(25.2)(16.4\right)}{\sqrt{((6)(107.12)-(25.2)^2)((6)(47.82)-(16.4)^2)}}

Solving the operations:

r=0.858

Therefore, the correlation factor is 0.858. If the correlation factor approaches the values of +1, this means that there is a strong linear correlation between the variables "x" and "y" and this correlation tends to be with a positive slope.

You might be interested in
Solve algebraically<br> y=x^2 + 2x<br> y=3x+20
Zina [86]
This one looks very tricky but ill try it out
5 0
3 years ago
Read 2 more answers
Please help me here
Natasha2012 [34]

Answer:

C

Step-by-step explanation:

C because you multiply the nimbers and then divid.

3 0
3 years ago
3-(2x-5) +4<br><br> 4 +6(x+3)-(x-2)+7<br><br> -4x(x-2)+3-(6-2x)
Dvinal [7]

Answer:

1st solution is -2x+12

2nd solution is 5x+31

3rd one doesnt have a solution

Step-by-step explanation:

4 0
3 years ago
Find the indicated IQ score. The graph to the right depicts IQ scores of​ adults, and those scores are normally distributed with
larisa86 [58]

Based on the mean, standard deviation, and the graph, the indicated IQ score would be 115.

<h3>What is the indicated IQ score?</h3>

First, find the z value:

P(Z<z) = 1 - tail value

= 1 - 0.1587

= 0.8413

According to the z-value, this gives a value of:

z = 1

The indicated IQ score is:

= mean + z value z standard deviation

= 100 + 1 x 15

= 115

Find out more on normal distributions at brainly.com/question/4079902

#SPJ1

5 0
1 year ago
7 x 3/4
Mkey [24]

7 3/4

Step 1: Multiply 7 and 4.

            7 x 4=28

Step 2:Add 3 to their product.

         28+3=31

Step 3:The number so obtained is the numerator and the denominator remains the same.

Answer: 31/4

I think that is what you are looking for!

Hope that helps!!!

7 0
3 years ago
Other questions:
  • The volumes of two similar figures are 343 mm3 and 512 mm3. If the surface area of the larger figure is 192 mm2, what is the sur
    13·2 answers
  • Games are $25 each, and Caleb has $125 to spend. How many games can Caleb buy if he uses all his money?
    14·2 answers
  • 28 -4t = 3t is it 4 the answer
    13·2 answers
  • What is circumference of a circle with a radius of 25 feet?
    15·2 answers
  • Yasmin took a survey of her classmates to determine the frequencies of different eye colors
    7·1 answer
  • Find the value of (0.6)-(0.5).
    13·2 answers
  • Mr. Rozario bought some oranges and some apples. The ratio of oranges to apples is 2:5. He gave 3/4 to his sister and 34 oranges
    13·1 answer
  • Solve for x. Round your answer to the nearest tenth.
    15·1 answer
  • Help me out on this someone
    5·2 answers
  • -3x-8&gt;19?I have to solve for x
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!