A physical education department wanted a single test of upper body strength that was easy to administer. Dips on the parallel bars and pull-ups on the horizontal bar were considered good tests. One faculty member thought that both tests were not needed because the correlation between the two was probably high. To evaluate this assumption, 141 students were tested on both criteria. The faculty member let X represent dips on the parallel bars and Y represent pull-ups and calculated the following from the data:

ΣX = 3,416, ΣY = 1,899, SDX = 8.84, SDY = 4.70, ΣZXZY = 109.416.

Calculate the following:

a. The mean of each variable
b. The correlation between the two variables
c. The level of confidence and the p value reached by the coefficient
d. The predicted number of pull-ups for a student who performed 20 dips
e. The standard error of the estimate
f. The predicted range of possible pull-up scores at the 95% LOC for a student who performed 20 dips

Answers

Answer 1

Answer:

24.23 ; 13.47 ; 0.782 ; p value < 0.00001 ;7.45

Step-by-step explanation:

Given that :

ΣX = 3,416, ΣY = 1,899, SDX = 8.84, SDY = 4.70, ΣZXZY = 109.416

Sample size, N = 141

Mean of X:

£X / N = 3416 / 141 = 24.23

Mean of Y:

£Y / N = 1899 / 141 = 13.47

B.) Correlation between the 2 variables :

£ZXZY / N - 1

= 109.416 / 140

= 0.782

C.)

Level of significance and p value :

T = [Rsqrt(n-2)] ÷ sqrt(1 - R²)

T = [0.782 * sqrt(139)] ÷ sqrt(1-0.782^2)

T = 14.79

P value from Tscore calculator

Df = 141 - 2 = 139 ; α = 0.05

Pvalue = 0.00001

Pvalue < α ; Hence, a significant positive relationship exists.

To obtain regression model :

Slope = £ZXZY / SDX²

m = 109.416 / 8.84^2 = 1. 4

yintercept = meanY - slope*x

yintercept = 13.47 - 1.4*24.3

yintercept = - 20.55

Equation in slope intercept form:

y = mx + c

y = 1.4x - 20.55

For x = 20

y = 1.4(20) - 20.55

y = 7.45


Related Questions

Si se tienen 150 rosas y 90 margaritas, ¿de qué tamaño se deberá hacer arreglos de modo que no sobren flores?

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I would help but I don’t know how to read it hope someone helps u out

What is the value of the constant in the equation that relates the hey width of the rectangle

Answers

Answer: 2

Step-by-step explanation:

as H=20 and W=10

So H=constant.(W)

H=2(10)

H=20

So constant is 2

The original price of a pair of shoes is $29.90 and there is a markdown of 10% for a
Black Friday sale. What is the amount of money being taken off the original price?

Answers

Answer:

2.99 is the amount that is being taken off and the final price is $26.91

Step-by-step explanation:

Find the measure of the missing angle.

pls help I will give brainliest and 50 points!

Answers

180-98=82 so 82 degrees is the answer

Answer:I think it is 82

Step-by-step explanation: because a straight line is 180° and 180-98=82

I will give out branlyest

Answers

Answer:

The only one that makes sense is A.

Hope this helps.

Step-by-step explanation:

V=LWH

Answer:

A

Step-by-step explanation:

I just took the quiz

The moon is about 382,500 km away from earth. This distance actually varies by about 22,500 km. What are the maximum and minimum distances to the moon?

Answers

Answer:

225,623 miles (363,104 kilometers).

Step-by-step explanation:

In a right triangle, the measures of the legs are x and x + 14 and the measure of the hypotenuse is x + 16. Find the measure of x.

Answers

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

We can use the Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

The two legs are x and (x + 14) and the hypotenuse is (x + 16). Therefore:

[tex](x)^2+(x+14)^2=(x+16)^2[/tex]

Expand:

[tex]\displaystyle x^2+(x^2+28x+196)=x^2+32x+256[/tex]

Combine like terms:

[tex]2x^2+28x+196=x^2+32x+256[/tex]

Subtract the right from the left:

[tex](2x^2+28x+196)-(x^2+32x+256)=0[/tex]

Subtract:

[tex]x^2-4x-60=0[/tex]

Factor:

[tex](x-10)(x+4)=0[/tex]

Zero Product Property:

[tex]x-10=0\text{ or } x+4=0[/tex]

Solve:

[tex]\displaystyle x = 10 \text{ or } x = -4[/tex]

The x cannot be negative since a side cannot measure -4. So, our only answer is:

[tex]x=10[/tex]

So, the legs are 10 and 24 with the hypotenuse being 26.

(SAT Prep) Find the value of x.

Answers

Answer:

58

Step-by-step explanation:

I think

Can someone answer this because this one is confusing and I need help.
Answers
A.280 cubic inches
B.1,800 cubic inches
C.180 cubic inches
D.600 cubic inches

Answers

your answer would be 180 cubic inches which is option C

what is the answer to this question
1/2 x -7=1/3(x-12)

Answers

Answer:

= 1 8 hope this helps!!! :)

Step-by-step explanation:

1 2 ⋅ −7 = 1 3 ( − 1 2 )

1 2 − 7 = 1 3 −1 2 )

1 2 − 7 = 1 3 − 1 2 )

Multiply by 1  

Combine multiplied terms into a single fraction  

Multiply by 1  

Add to both sides of the equation

Answer:

x = 3/2 = 1 1/2 = 1.5

Step-by-step explanation:

1/2 x -7=1/3(x-12)

Multiply 1/2 and -7 to get -7/2

-7/2 = 1/3(x-12)

Fraction -7/2 can be rewritten as -7/2 by extracting the negative sign.

- 7/2 = 1/3(x-12)

Use the distributive property to multiply 1/3 by x−12.

-7/2 = 1/3x + 1/3(-12)

Multiply 1/3 and −12 to get -12/3

-7/2 = 1/3x + -12/3

Divide −12 by 3 to get −4.

-7/2 = 1/3x + 4

Swap sides so that all variable terms are on the left hand side.

1/3x -4 = -7/2

Add 4 to both sides.

1/3x = -7/2 + 4

Convert 4 to fraction 8/2

1/3x = -7/2+8/2

Since -7/2 and 8/2 have the same denominator, add them by adding their numerators.

1/3x = -7+8/2

Add −7 and 8 to get 1.

1/3x = 1/2

Multiply both sides by 3, the reciprocal of 1/3

x = 1/2 x 3

Multiply 1/2 and 3 to get 3/2

x = 3/2


Express 29/100 as a decimal

Answers

Answer:

Step-by-step explanation:

Since there are 2 digits in 29, the very last digit is the "100th" decimal place. So we can just say that . 29 is the same as 29/10

Answer:

0.29 = 29/100

Explanation:

Find the equation of a line parallel to the equation y = 5x + 7 through the point (2,7).​

Answers

Answer:

y = 5x + 7

Step-by-step explanation:

1. Substitue the numbers into their spots.

7 = 5(2)+b

2. Find b by simplifying

7 = 10 + b

-3 = b

3. Substitute it back in since parallel lines have the same slope.

a car travels 170 miles in 3 hours at this rate how many miles will the car travel in 1/2 hours ​

Answers

28 miles
Explanation: 170/3=56.667 which is your hourly rate so to get half of that you divide 56.667/2 which gets you 28.333 and when you round that is 28 therefore in half an hour you will go 28 miles

A model of the Pythagorean Theorem is shown.



169 square units. 144 square units. 25 square units.



Based on the information in the model, which equation represents the Pythagorean theorem?

Answers

Answer:

Step-by-step explanation:

The probability that Chloe acts hungry at 7pm given that she has already eaten dinner is 0.5. The probability that Chloe acts hungry at 7pm given that she has not had dinner is 0.99. Assume that there is probability 0.9 that Chloe has eaten dinner by 7pm on a given day. a) (1 pt) If Chloe is acting hungry at 7pm, find the probability that she has not had dinner yet. b) (1 pt) If Chloe is not acting hungry at 7pm, find the probability that she has already had dinner.

Answers

Answer:

a) P(  [tex]Y^{C}[/tex] | X ) = 0.180

b) P(Y | [tex]X^{C}[/tex]  ) = 0.998

Step-by-step explanation:

Let

P(X) - Probability that he acts hungry

P(Y) - Probability that he had ate dinner,

Given,

P(X | Y) = 0.5

P(X | [tex]Y^{C}[/tex]  ) = 0.99

P(Y) = 0.9

a.)

P(  [tex]Y^{C}[/tex] | X ) =  [tex]\frac{P( X | Y^{C} ). P(Y^{C} ) }{P( X | Y^{C} ). P(Y^{C} ) + P( X | Y ) . P (Y) }[/tex]

                  = [tex]\frac{(0.99)(0.1)}{(0.99)(0.1) + (0.5)(0.9)} = \frac{0.099}{0.549}[/tex] = 0.180

⇒P(  [tex]Y^{C}[/tex] | X ) = 0.180

b.)

P(Y | [tex]X^{C}[/tex]  ) = [tex]\frac{(1 - P(X | Y ) ) . P(Y)}{P( X^{C} ) } = \frac{(1 - P(X | Y ) ) . P(Y)}{ 1 - P( X ) }[/tex]

                 = [tex]\frac{(1 - 0.5)(0.9)}{1 - [(0.99)(0.1) + (0.5)(0.9) ]} = \frac{(0.5)(0.9)}{1 - [(0.099) + (0.45) ]} = \frac{0.45}{1 - [0.540]} = \frac{0.45}{0.451}[/tex] = 0.998

⇒P(Y | [tex]X^{C}[/tex]  ) = 0.998

Please help me ! I’ll give anyone a 5 star rating for the correct answers.

Answers

Answer:

A)Josh

B)Mila

C) Amir

Determine the amount of each unknown




Cost of the item $300


Sales tax _______

Amount of tax ________

Total cost $360

Answers

Answer:

Sales tax:20%

Amount of tax:$60

20 for sales tax and 60 for taxes

HELP!!!ITS DUE IN AN HOUR
A salesperson at a jewelry store earns 5% commission each week. Last week, Heidi sold $530
worth of jewelry. How much did she make in commission? How much did the jewelry store make
from her sales?
Heidi earned in commission.

Answers

Answer:

26.5

Step-by-step explanation:

dont worry I'm actually the salesperson at the  jewlery store

Step-by-step explanation:

it is not confrmed answer

commission:106%

Which of the following best describes a triangle with one right angle and two congruent sides?
A right scalene triangle
B. acute scalene triangle
C. right isosceles triangle
D acute isosceles triangle

Answers

Answer:

C

Step-by-step explanation:

A is impossible. You cannot have both a right triangle and in the same triangle have an angle in it that is over 90 (that's the meaning of scalene)

B is sort of true, but only sort of. All scalene triangles have an angle over 90 and 2 acute angles.

C this is the answer to the question. It has 1 right angle and 2 equal sides. The two equal sides make it isosceles and the right angle is given.

D an acute triangle has three angles under 90 that add to 180. Not the right description.

A triangle with one right angle and two congruent sides is described as a "right isosceles triangle." (Option C)

Let's break down the terms:

1. Right Angle: A right angle is an angle that measures exactly 90 degrees.

2. Isosceles Triangle: An isosceles triangle is a triangle with at least two sides of equal length (congruent sides).

3. Right Isosceles Triangle: A right isosceles triangle is a special type of isosceles triangle where one of the angles is a right angle (90 degrees) and the other two angles are equal, each measuring 45 degrees.

In a right isosceles triangle, the two congruent sides are the legs of the right triangle, and the third side (opposite the right angle) is called the hypotenuse.

So, among the given options, the best description for a triangle with one right angle and two congruent sides is a "right isosceles triangle" (Option C).

To know more about right isosceles triangle, refer here:

https://brainly.com/question/30966657

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What is the zero of the function ?

Answers

Answer:

The zero of a function is any replacement for the variable that will produce an answer of zero. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.

Step-by-step explanation:

what is 2x + 5 (y-1) when x=8 and y=5

Answers

Step-by-step explanation:

2x + 5 (y-1)

16+20

=36

hope it helps you

36
just replace the variables and then subtract then multiply

solving the systems of linear equations by substitution.

x+2y=6
5x+2y=18​

Answers

Here you go...........

Mahir ' in ağırlığının feride' nin ağırlağına oranı 9/4 'tür.
Mahir' in ağırlığı 81 kg olduğuna göre feridenin ağırlığı kaç kg'dir? (acil soru) ​

Answers

this looks like gibberish bahahaha

write an expression y+3y-2y=​

Answers

Answer:

3y=2y

Step-by-step explanation:

Im not sure if this is the answer your looking for but I hope this helped. I tried tho lol :)

Solution:2y
Explanation: y+3y-2y=4y-2y=2y

Jerry plans to begin saving money for a trip by putting $1 in a savings account the first month and then adding enough to double the amount in the account each following month. 1 I a. After he finishes contributing to the account, he will withdraw $500 to make a down payment on the trip. Create a function to show how much money will be in the account if he finishes contributing to the account after t months.​

Answers

Answer:

A=2*(t-1)-500

Step-by-step explanation:

I did it on study island.

Function representing the amount of money as per given condition in the account after [tex]t[/tex] months is equals to [tex]A= 2^{t-1} -500[/tex].

What is function?

" Function is defined as relation between variables is such that for each input value there exist one and only one output."

According to the question,

Given,

Amount in the account

Frist month [tex]= \$1[/tex]

                   [tex]= 2^{1-1}[/tex]

As per given condition,

second month [tex]= \$2[/tex]

                        [tex]= 2^{2-1}[/tex]

Third month  [tex]= \$4[/tex]

                     [tex]= 2^{3-1}[/tex]

.........

Amount in the account in [tex]'t'[/tex] months [tex]= 2^{t-1}[/tex]

Jerry withdraw  [tex]\$500[/tex] to make a down payment on the trip.

[tex]'A'[/tex] represents the total amount left in the account

Required function as per given condition,

[tex]A = 2^{t-1} -500[/tex]

Hence, function representing the amount of money as per given condition in the account after [tex]t[/tex] months is equals to [tex]A= 2^{t-1} -500[/tex].

Learn more about function here

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Simplify the Division Expression Below:
12 divided by 3/5

Answers

Answer:

ggg

Step-by-step explanation:

gggggg

First, you need to convert 3/5 to a decimal by dividing 3 by 5
3/5=0.6
Now, you can divide 12/0.6
12/0.6=20
Hope this helps! Have a great day!

a championship swimmer swims 20 meters in 10 seconds. what is his speed

Answers

Answer:

his speed is 2 meters per second

Answer:

his speed is 2 meters per second

Step-by-step explanation: none

Is a coin flip​ random? Why or why​ not, in your​ opinion?
Choose the correct answer below.
A.
Yes. You will get heads on every other flip.
B.
Yes. You cannot predict the outcome beforehand.
C.
No. You must run numerous trials before you can tell.
D.
No. You can predict the outcome beforehand.

Answers

Answer:

B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

6. Find the ICM of 60 and 400

Answers

Answer: it's 1200

Step-by-step explanation: please give me brainliest

400x3=1200

60x20=1200

The LCM of 60 and 400 is 1200. The multiples of 60 are 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200, and more.

The multiples of 400 are 40, 80, 120, 160, 240, 280, 320, 360, 400, 440, 480, 520, 560, 600, 640, 680, 720, 760, 800, 840, 880, 920, 960, 1000, 1040, 1080, 1120, 1160, 1200 and so on and so forth.

Therefore, the LCM is 1200.

Greatest common factor 20x76 and 8x92

Answers

Answer:

dont know this one my apologies

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