To test for the significance of a regression model involving 3 independent variables and 51 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are _____.

Answers

Answer 1

Answer:

numerator degree of freedom = 3

Denominator degree of freedom = 47

Step-by-step explanation:

The numerator degree of freedom is given by :

p - 1 ; where p = number of predictors ;

p = number of independent variables + 1

Number of independent variables = 3

p = 3 + 1 = 4

Numerator degree of freedom = p - 1 = 4 - 1 = 3

The denominator degree of freedom = n - p ; where n = number of observations

Number of observations, n = 51

Denominator degree of freedom = n - p = 51 - 4 = 47


Related Questions

Add. Please show work too.

Answers

Answer:

-36m^3-21n^3+85mn^2+36m^2n

Step-by-step explanation:

That's what the calculator says:).

convert 6.28km into metres

Answers

Answer:

8275382+9162672(7263382) 615-41+8162(71818)

Answer:

6280m

Step-by-step explanation:

6.28×1000m

=6280m

Life Expectancies In a study of the life expectancy of people in a certain geographic region, the mean age at death was years and the standard deviation was years. If a sample of people from this region is selected, find the probability that the mean life expectancy will be less than years. Round intermediate -value calculations to decimal places and round the final answer to at least decimal places.

Answers

Answer:

The probability that the mean life expectancy of the sample is less than X years is the p-value of [tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex], in which [tex]\mu[/tex] is the mean life expectancy, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

We have:

Mean [tex]\mu[/tex], standard deviation [tex]\sigma[/tex].

Sample of size n:

This means that the z-score is now, by the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

Find the probability that the mean life expectancy will be less than years.

The probability that the mean life expectancy of the sample is less than X years is the p-value of [tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex], in which [tex]\mu[/tex] is the mean life expectancy, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

Keisha borrowed $400 from a bank for 5 years and was charged simple interest. The total interest that she paid on the loan was $120. As a percentage, what was the annual interest rate of her loan?

Answers

Answer:

6%

Step-by-step explanation:

Answer:

you need to divide 120 by 5

Step-by-step explanation:

the percentage is 16.6 and it goes on that is for 1 year

I want my answer please help​

Answers

Answer:

This is pretty simple

Step-by-step explanation:

So the only thing you need to know about negatives and positives is that if your multiplying or dividing a number with 1 negative in the expreession/equation The answer will always result in a negative. If its 2 negatives its always positive. Thats all you need to know and then just solve it from there.

Answer:

See explanation and picture below.

Step-by-step explanation:

In both multiplication and division of 2 numbers, different signs give you negative and equal signs give you positive.

In other words, positive & positive or negative and negative give you a positive answer.

Negative and positive or positive and negative give you negative answer.

NEED ANSWER WITH WORK PLEASEEEEE QUICK !!

Answers

Answer:

Step-by-step explanation:

the equation has the form of  y = mx + b  (slope intercept form)

where  m = - 1/5

start with the point-slope form and work it to the slope-intercept form

y-y1 = m(x-x1)     (point-slope form)

y-5 = -1/5(x-(-5))

y-5 = -1/5(x+5)

y-5 = -1/5(x) +  -1/5(5)

y-5 = -x/5 + - 5/5

y-5 = -[tex]\frac{1}{5}[/tex] X -1

y = -[tex]\frac{1}{5}[/tex] X - 1 +5

y = -[tex]\frac{1}{5}[/tex] X +4

there you go :)

help please i don't know how to do this

Answers

Ax2=74 because a is the equivalent of 2 which is the most accurate to me.

The graph shows a line of best fit for data collected on the average temperature, in degrees Fahrenheit, during a month and the
number of inches of rainfall during that month.
у
90
801
70
Average Temp
20
10
Inches of Rain
The equation for the line of best fit is y=-3.32x +97.05.
Based on the line of best fit, what would be the prediction for the average temperature during a month with 13.25 inches of rainfall?

Answers

Answer:

53.06°F

Step-by-step explanation:

Given the equation of best fit :

y=-3.32x +97.05.

The average temperature for a month with 13.25 inches of Rainfall

Amount of Rainfall = x

Average temperature = y

To make our prediction ; put x = 13.25 in the equation and solve for y ;

y = -3.32x +97.05

Put x = 13.25

y = -3.32(13.25) +97.05

y = - 43.99 + 97.05

y = 53.06°F

angle P and angle Q are complementary. The measure of angle Q is 33.5°. What is the measure of angle P?​

Answers

Answer:

56.5 degrees

Step-by-step explanation:

Because complementary angles are when their sum is 90, you get the equation:

P + Q = 90

Since Q is 33.5,

P + 33.5 = 90

Subtracting 33.5 from both sides,

P = 56.5

Cenntura was having fun playing poker she needed the next two cards out to be heart so she could make a flesh five cards of the same suit there are 10 cards left on the deck and three our hearts what is the probability that two cards doubt to Seterra without replacement will both be hearts answer choices are in percentage for format rounded to the nearest whole number

Answers

Answer:

7% probability that the next 2 cards are hearts.

Step-by-step explanation:

Cards are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

10 cards, which means that [tex]N = 10[/tex]

3 are hearts, which means that [tex]k = 3[/tex]

Probability that the next 2 cards are hearts:

This is P(X = 2) when n = 2. So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,10,2,3) = \frac{C_{3,2}*C_{7,0}}{C_{10,2}} = 0.0667[/tex]

0.0667*100% = 6.67%

Rounded to the nearest whole number, 7% probability that the next 2 cards are hearts.

Eight less than four times a number is less than 56. What are the possible values of that number?
X> 12
x < 12
ООО
x < 16
O x> 16

Answers

Answer:

x < 16

Step-by-step explanation:

Let the number be x

Four time the number = 4x

Eight less than four times the number = 4x - 8

Eight less than four times the number is less than 56,

          that is , 4x - 8  < 56

                      4x - 8 + 8 < 56 + 8                    [ adding both sides by 8 ]

                        4x + 0 < 64

                              4x < 64                             [ divide both sides by 4 ]

                                 x < 16

                         

What is the solution to the following inequality X/-2 > 5

Answers

Answer:

x < -10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

x/-2 > 5

Step 2: Solve for x

[Multiplication Property of Equality] Multiply -2 on both sides:                     x < -10

[tex]\large {\mathsf {\red{\underbrace {\overbrace{\blue{ {\pink}{Answєr}}}}}}} \: [/tex]

x > - 10

[tex] \large \mathtt \green{Step-by-step \: explanation : }[/tex]

[tex] \small \sf \frac{x}{ - 2} > 5 \\ [/tex]

Solve for x

[tex] \small \sf \frac{x}{ - 2} > 5 \\ [/tex]

common denominator is 2

[tex]\small \sf ➪ \frac{2x}{ - 2} >2 \times 5 \\ [/tex]

[tex]\small \sf ➪ \frac{ \cancel{2}x}{ - \cancel{ 2}} >2 \times 5 \\ [/tex]

➪ - x > 2 × 5

➪ - x > 10

multiply by - 1

➪ - x × - 1 > 10 × - 1

x > - 10

For the following inequality, find a solution for the variable. Show all of your work and use complete sentences to explain the solving process that you used to find a solution for the inequality. Be sure to include at least two terms from the word bank. 1/4 x ≤-3

Answers

Answer:

x ≤ -12

Step-by-step explanation:

To get x by itself you simply multiply both sides by 4, since 1/4 * 4 = 1.

Which statement best describes why the value of the car is a function of the number of years since it was purchased?
A. Each car value, y, is associated with exactly one time, t.
B. Each time, t, is associated with exactly one car value, y.
C. The rate at which the car decreases in value is not constant.
D. There is no time, t, at which the value of the car is 0.

Answers

Answer:

B

Step-by-step explanation:

The definition of a function is that any input will only have one output. Here, the input is the number of years, and the output is the value of the car. We know this because the question is asking why the value of the car is a function of the number of years. Therefore, based on the number of years, the value of the car is given.

Going back to the definition of a function, we can apply this year to say that any number of years will only have one car value. Another way to say this is that each time is associated with exactly one car value.

In the following diagram HI || JK.
HELP MATES PLEASE WILL GIVE 15 POINTS

What is the measure of Zx?
Angles are not necessarily drawn to scale.
67°
H
K
46°

I
A

Answers

Answer:

m∠ x = 67

Step-by-step explanation:

∠AJK = ∠AHI = 67 Corresponding Angles

180 - 67 - 46 = x

x = 67

Triangle Sum Theory - the sum of all angles in a triangle = 180

Also, when you see parallel lines look for Corresponding,

Alternate Interior or Same side Interiors.

What is this expression in simplified form?

Answers

Answer:

16 √(3)

and then the decimal form if needed is: 27.7128129211

Step-by-step explanation:

Answer:

27.685

Step-by-step explanation:

Sqrt rt of 32 • sqrt rt of 24

Solve for the square root of 32

Sqrt rt of 32 = 5.65

Then solve for the square root of 24

Sqrt rt of 24 = 4.9

Finally multiply 4.9 and 5.65

4.9 x 5.65 = 27.685

Which of these tables represents a function

Answers

Answer:

W and X

Y and Z arent functions because some of their domains (x value) have different inputs. Each domain can only have one input.

The time to complete an exam in a statistics class is a normal random variable with a mean of 50 minutes and a standard deviation of 10 minutes. What is the probability, given a class size of 30 students, the average time to complete the test is less than 48.5 minutes

Answers

Answer:

0.2061 = 20.61% probability, given a class size of 30 students, the average time to complete the test is less than 48.5 minutes

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 50 minutes and a standard deviation of 10 minutes.

This means that [tex]\mu = 50, \sigma = 10[/tex]

Class size of 30 students

This means that [tex]n = 30, s = \frac{10}{\sqrt{30}}[/tex]

What is the probability, given a class size of 30 students, the average time to complete the test is less than 48.5 minutes.

This is the p-value of Z when X = 48.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{48.5 - 50}{\frac{10}{\sqrt{30}}}[/tex]

[tex]Z = -0.82[/tex]

[tex]Z = -0.82[/tex] has a p-value of 0.2061

0.2061 = 20.61% probability, given a class size of 30 students, the average time to complete the test is less than 48.5 minutes

This is the graph of y = -x2 - 2x + 8.

What is the range of this function?

Answers

Hi there!

[tex]\large\boxed{(-\infty, 9)}[/tex]

We can find the range using completing the square:

y = -x² - 2x + 8

Factor out a -1:

y = -(x² + 2x) + 8

Use the first two terms. Take the second term's coefficient, divide by 2, and square:

y = -(x² + 2x + 1) + 8  

Remember to add by 1 because we cannot randomly add an additional number into the equation:

y = -(x² + 2x + 1) + 8 + 1

Simplify:

y = -(x + 1)² + 9

Since the graph opens downward (negative coefficient), the range is (-∞, 9)

Item 16
What is the area of the triangle in the coordinate plane?

36 units²

38 units²

66 units²

72 units²

Answers

First answer is right
Base is 8
Height is 9
9x8=72
72/2=36

36 units ^2

divide 18/7 by 8/26. Pls give the correct ans​

Answers

Answer:

8.35714285714

Step-by-step explanation:

Hope it help you

Answer: 117/14

Explanation: Checked with calculator!

I’m struggling with this question someone help ASAP plz

Answers

Answer:

The correct answer is:

30 = 10 + 3(h - 2)

        30 = 10 + 3h - 6

        26 = 3h

        h = 8.67

Step-by-step explanation:

We're gonna calculate by our part the hours a new costumer can rent a bike and pay a total of $30, using the original function:

f (h) = 10 + 3(h - 2)

Where:

f (h) = Total cost. h = the number of hours.

We know The total money spent must be $30, by this reason, the function change to:

30 = 10 + 3(h - 2)

Now, we must clear the h variable, by this reason, we multiply 3 by h and 2:

30 = 10 + 3*h - 3*2 30 = 10 + 3h - 6

We pass the 10 and the -6 to the left side of the equality:

30 - 10 + 6 = 3h (Remember to change the signs when you do this step) 26 = 3h

Finally, we pass the 3 to the left side of the equality:

26 / 3 = h (the 3 pass to divide because is multiplying the x)

8.666666666667 = h

If we just use two decimals, the number of hours is:

h = 8.67

How the third option is the one that shows this calculation and result, that is the correct answer.

How many orders are possible to view 6 videos from a stack of 8 videos?

Answers

Answer:

28

Step-by-step explanation:

We know that ,

n C r = n! / ( n - r)! r!

8! / ( 8 - 6)! 6!

8! / 2! × 6!

7 × 8 / 2 × 1

28

I need this to pass summer school​

Answers

Answer: The answer is b

I think the same thing, b. Hope this helps

Last year Nancy weighted 37( 5)/(8) pounds. This year she weighed 42.7 pounds. How much did she gain?

Answers

Answer:

22.7 pounds

Step-by-step explanation:

Simply just subtract 42.7 with 37 (5/8) to get the answer. If done correctly, you should get 22.7 pounds.

So, the final answer is 22.7 pounds.

Hope this helped!

Find the numerical value of each expression. (Round your answers to five decimal places.) (a) sinh(ln(5)) (b) sinh(5)

Answers

sinh(ln(4)) = (exp(ln(4)) - exp(-ln(4)))/2 = (4 - 1/4)/2 = 15/8 = 1.875

sinh(4) = (exp(4) - exp(-4))/2 ≈ 27.28992

Value of the expression in which each variable was swapped out with a number from its corresponding domain sinh⁡ (l5)

How do you determine an expression's numerical value?

sinh (5)

=sinh(1.6094) =2.39990 rad

=sinh⁡(1.6094) =2.3

By doing the following, you may determine the numerical value of an algebraic expression: Replace each variable with the specified number. Then, enter your score in your team's table.

Analyze expressions that are linear.Multi-variable expressions should be evaluated.Analyze expressions that are not linear.

Value of the expression in which each variable was swapped out with a number from its corresponding domain. In the case of a number with only one digit, referring to the numerical value associated with a digit by its "value" is a convenient shorthand.

To learn more about Value of the expression refer to:

https://brainly.com/question/13961297

#SPJ2

Find the total amount that must be repaid on the following note described.
$8,593 borrowed at 15.5% simple interest
What is the total amount to be repaid 3 years, 125 days later? (Round your answer to the nearest cent.)

Answers

Answer:$60 per week Step-by-step explanation: 120+90+0+30+0+150+30=420 420/7= 60

Answer:

simple interest=principal x rate x time÷100

amount borrowed=$8593

125days to year

365 days=1 year

125=125/365x1

0.3424657534246575year

in all there is 3+0.3424657534246575=3.3424657534246575years

I=$8593 x 15.5 x 3.3424657534246575÷100

I= $4451.8802739726026941125

total amount to be repaid=amount borrowed+interest

$8593+$ 4451.8802739726026941125

$13044.8802739726026941125

rounded to the nearest cent=$13045.00

Domain and function
Function or not a function

Answers

Answer:

Top left: not a function

Top right: not a function

Bottom left: function

Bottom right: not a function

Step-by-step explanation:

A function is a relationship where each x value has it's own y value ( note that domain = x values and range = y values)

For the one on the top left.

S and n have more than one y value.

Because s and n have more than one y value the relation is not a function

For the one of the top right.

There x value "c" has multiple y values therefore the relation is not a function

For the one on the bottom left

Each x value has it's own y value therefore it is a function ( note that the y values can repeat. It's only the x values that can't repeat. )

For the one on the bottom right

The x value "-5" has multiple y values therefore the relation is not a function

Which of the following is a true statement?

Answers

Answer:

The last choice: 68/5 - 22/5 = 9 1/5

Step-by-step explanation:

Solve each problem:

9 3/7 = 10 3/7

The fractions are the same so look at the whole numbers.

Does 9 equal 10? No, it doesn't so this is a false statement.

332/4 = 1/83

Simplify 332/4:

332/4 = 83/1

83 does not equal 1/83 so this is a false statement.

37/5 = 5 2/5

Convert the improper fraction into a mixed number:

7 2/5 = 5 2/5

These numbers do not equal each other so this is a false.

68/5 - 22/5 = 9 1/5

Subtract the numerators on the left side of the equation:

46/5 = 9 1/5

Convert the improper fraction into a mixed number:

9 1/5 = 9 1/5

These numbers equal each other so this is a true statement!

A rectangle is four times as long as it is wide. If it has an area of 36 square inches, what are its dimension?
a. 6 by 6
c4 by 9
b. 3 by 12
d. 4 and 8

Answers

Answer:

C

Step-by-step explanation:

here in the question it is given that it is four times as long as wide and its area is 36 square inches

now as we onow 3×4 =12

therefore here the side becomes four time

now area of rectangle is equal to 12 ×3 =36

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