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Len [333]
3 years ago
12

Use the table of values to calculate the linear correlation coefficient r.

Mathematics
1 answer:
alekssr [168]3 years ago
5 0

Given the data

X, ...rankX.....Y.....rankY......d=rx-ry........d²

4.........4...........-5......4................0..............0

53.......3.........-1........3................0...............0

86.......2.........13.......2................0................0

162......1..........16.......1.................0...............0

Then, using the rank correlation formula

p = 1 — 6•Σd² / n(n²—1)

p = 1 - 6• 0 / 4(4²-1)

p = 1 - 0

p = 1

So, the rank correlation is 1, this means that the two variables being compared are monotonically related, even if their relationship is not linear.

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Does this graph represent a function? What is the domain and range of the graph?
eimsori [14]

Answer:

Yes; domain: all real numbers; range: y \geq 0

Step-by-step explanation:

1. Use the vertical line test to see if it is a function.

2. Figure out what the lowest and highest point x can be. In this case x can be any number

3. Figure out what the lowest and highest point of y can be. In this case y is not negative, the lowest it can be is 0. So y \geq 0

*Note: Domain are the x values & Range are the y values

4 0
3 years ago
A statistics practitioner in a large university is investigating the factors that affect salary of professors. He wondered if ev
Ulleksa [173]

Answer:

Step-by-step explanation:

Hello!

Given the linear regression of Y: "Annual salary" as a function of X: "Mean score on teaching evaluation" of a population of university professors. It is desired to study whether student evaluations are related to salaries.

The population equation line is

E(Y)= β₀ + β₁X

Using the information of a n= 100 sample, the following data was calculated:

R²= 0.23

                Coefficient    Standard Error  

Intercept    25675.5           11393

x                  5321                  2119

The estimated equation is

^Y= 25675.5 + 5321X

Now if the interest is to test if the teaching evaluation affects the proffesor's annual salary, the hypotheses are:

H₀: β = 0

H₁: β ≠ 0

There are two statistic you can use to make this test, a Student's t or an ANOVA F.

Since you have information about the estimation of  β you can calculate the two tailed t test using the formula:

t= \frac{b - \beta }{\frac{Sb}{\sqrt{n} } } ~t_{n-2}

t= \frac{ 5321 - 0 }{\frac{2119}{\sqrt{100} } } = 25.1109

The p-value is two-tailed, and is the probability of getting a value as extreme as the calculated t_{H_0} under the distribution t_{98}

p-value < 0.00001

I hope it helps!

3 0
3 years ago
Help needed! Please needed ASAP!
Naddika [18.5K]

Answer:

7)Bagel costs $3.5 and muffin cost $1.25

8) Ticket is $9 while snacks are $2

9) Correct because left hand side is zero

10) Correct because they both have same slope and same y-intercept

Step-by-step explanation:

7) Let bagel be x and muffin be y.

Thus;

For Aaron;

x + 3y = 7.25 - - - (1)

For bee;

x + 2y = 6 - - - (2)

Subtract eq 2 from eq 1 to get;

y = 1.25

Put 1.25 for y in eq 2;

x + 2(1.25) = 6

x + 2.5 = 6

x = 6 - 2.5

x = 3.5

Bagel costs $3.5 and muffin cost $1.25

8) Let movie ticket be x and snacks be y.

Thus;

2x + 3y = 24 - - - (1)

3x + 4y = 35 - - - (2)

Multiply eq(1) by 3 and eq(2) by 2 to get;

6x + 9y = 72 - - - (3)

6x + 8y = 70 - - - (4)

Subtract eq 4 from eq 3 to get;

y = 2

Put 2 for y in eq 3;

6x + 9(2) = 72

6x + 18 = 72

6x = 72 - 18

6x = 54

x = 54/6

x = 9

Ticket is $9 while snacks are $2

9) using elimination, subtract eq 1 from eq 2, we will see that the entire left hand side is equal to zero.

Thus, no solution exists because we can't isolate the variable to get an answer.

10) The answer is correct because for a system of 2 simultaneous equations to have infinite solutions, they both have to have the same y-intercept and also same slope.

In this case, their y-intercept which is when x is 0 is;

3(0) + y = 9

y = 9

Their slope is also the same equal to 3.

8 0
2 years ago
What is the correct way to reach a decision regarding a hypothesis test based on a confidence interval
Softa [21]

<u>Answer</u>:

this is a multiple choice question and the answer to this question has been highlighted in bold letters.

Based on a confidence interval, the best way to get a decision on a hypothesis test is for you to fail to rej<u>e</u><u>c</u><u>t</u><u> </u><u>the </u><u>null</u><u> hypothesis</u><u> (</u><u>that </u><u>is,</u><u> </u><u>you </u><u>will</u><u> </u><u>have</u><u> to</u><u> </u><u>accept</u><u> the</u><u> null</u><u> hypothesis</u><u>)</u><u> </u><u>if </u><u>the </u><u>hypothesized</u><u> </u><u>value</u><u> </u><u>for</u><u> the</u><u> </u><u>parameter</u><u> </u><u>that </u><u>is </u><u>being</u><u> </u><u>tested</u><u> </u><u>is </u><u>within</u><u> the</u><u> </u><u>confidence</u><u> interval</u><u>.</u>

3 0
2 years ago
One more than the sum of 57 + 2,464
Paladinen [302]
Well the sum of 57 + 2,464 is 2,521
Then one more of that would be 2,521 +1 = 2,522
<span />
6 0
3 years ago
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