⦁ The data set shows the number of practice throws players in a basketball competition made and the number of free throws they made in a timed competition. Practice throws 4 10 6 15 0 7 11 Free throws 8 23 9 34 5 11 27 ⦁ ⦁ Use technology to find the equation and coefficient of determination for each type of regression model. Use the number of practice throws for the input variable and the number of free throws for the output variable. Round all decimal values to three places. Model Equation of regression model Coefficient of determination Linear Quadratic Exponential (standard form) ⦁ ⦁ Which model best fits the data set? Explain. Answer:

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Practice throws(X) : 4 10 6 15 0 7 11

Free throws(Y) : 8 23 9 34 5 11 27

Using the online linear regression calculator :

ŷ = 2.1559X + 0.3912

2.1559 = slope

0.3912 = intercept

X = independent variable ; y = dependent variable

The Coefficient of determination (R²) = 0.9506² = 0.9036

Quadratic model : y = 0.0961x²+0.7138x+3.8031

Coefficient of determination(R²) = 0.9739² = 0.9485

Exponential model:

a*b^x

Coefficient of determination (R²) = 0.9753² = 0.9512

The exponential model fits the data best.


Related Questions

Hannah likes candy. She wants to purchase some candies all varieties of candy are $4.20 each. Hannah buys one mango candy and one apple candy. Write an expression that represents the total cost,t,of the candy if m represents the number of mango candies and a represents the number of apple candies

Answers

Answer: 4.20(2)

Step-by-step explanation:

Please help. I'm desperate!!!!!!!!!!!

Answers

Help with what? If there was an image I can’t see it

Last one!

Solve for h.
h- (-3)=9

Answers

it’s would be h=6
hope this helped

Hello.

To solve this, isolate h, by adding the two numbers.

9 + (-3) = 6

h = 6

Check: 6 - (-3) = 9

This is true because when subtracting a negative number, it cancels out because of double negative, so it becomes 6 + 3 = 9, which is also true.

can you please help me solve this​

Answers

Answer:

The answer is A because the answer to the equation is x^{2}= -6 and the 7 is negative

Step-by-step explanation:

Hope this helps :)

through: (-4,5), slope=-7/4

Answers

Answer:

[tex]y=-\frac{7}{4}x-2[/tex]

Step-by-step explanation:

There is enough information to create an equation in point - slope form.

[tex]y-y_1=m(x-x_1)[/tex]

We have a slope of -7/4 and the point of (-4,5).

[tex]y-y_1=m(x-x_1)\rightarrow \boxed{y-5=-\frac{7}{4}(x+4)}[/tex]

Convert to slope intercept:

[tex]y-5=-\frac{7}{4}(x+4)\\\\ y-5=-\frac{7}{4}x-7\\\\y-5+5=-\frac{7}{4}x-7+5\\\\\boxed{y=-\frac{7}{4}x-2}[/tex]

Hope this helps.

Help me please :) have a good day.

Answers

Answer:

problem 1: h=a/b problem 2: 5

Step-by-step explanation:

First problem: a=bh

First you have to flip the equation so bh=a

Next you have to divide both sides by b.

bh/b=a/b

so h=a/b

Second problem: 45ft is the area and 9ft is the base so to find the height you have to divide the area by the base

If you only have the base and height you would multiply them to find the area. If you only have area and height you divide area by height to get base.

You have to divide 45 by 9, the answer would be 5.

Hope this helped!

Solve the following equation for x: 3x - 4 = 8
x=-2
x=-4
x=2
X=4

Answers

Answer:

1. Add 4 to both sides. 3x-4+4=8+4

2. Divide 3 from both sides. 3x/3=12/3

3. Solution. x=4.

Step-by-step explanation:

PLS HELP ME ASAP!!!!!!!!

Answers

Answer:

All of the above

Step-by-step explanation:

because all are correct

Which could be the first step of an indirect proof of the conditional below?
If x2 = 25, then 5’2= 25 and x = 5,
A. Assume x=5 is true.
B. Assume 52 = 25 is true,
C. Assume x2 + 25 is true.
D. Assume 52.25 and x + 5 are true,

Answers

Answer

Option D

Step-by-step explanation

For further help (727) 335-8234

The first step of indirect proof of the conditional below

If x2 = 25, then 5’2= 25 and x = 5 is assume 5² = 25.

Option B is the correct answer.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Conditions:

x² = 25 then 5² = 25 and x = 5

If we have to prove the above conditions indirectly, we have to prove that x² = 25 using the conditions 5² = 25 and x = 5.

So,

We have to assume,

Step 1:

5² = 25

Step 2:

x = 5

Step 3:

x² = 25

Thus,

The first step of indirect proof of the conditional below

If x2 = 25, then 5’2= 25 and x = 5 is assume 5² = 25.

Option B is the correct answer.

Learn more about equations here:

https://brainly.com/question/27996921

#SPJ2

Can a decimal that has repeating digits after the decimal point be converted into a fraction? It depends on what the digits are that repeat. It depends on the number of digits that repeat. No, because the decimal is irrational, and no irrational numbers can be converted to fractions. Yes, because the decimal is rational, and all rational numbers can be converted to fractions.

Answers

Answer:

It depends on what digits repeat

Step-by-step explanation:

A decimal with repeating digits after the decimal point can be converted to a fraction depending on the digits after the decimal point.

For example, let’s have 4/3

When we evaluate this using a calculator, we can see that we have recurring 3 after the decimal point

So 4/3 is actually 1.3333333333333

We can see that based on the number after the decimal point we can convert this to 4/3

Answer

It depends on what digits repeat

Step-by-step explanation:

I hope this helps!

Albert's mom has 2,523 reward points from shopping at an online store. She uses the points to buy gift cards for free cups of coffee. Each gift card costs 75 points. What is the greatest number of gift cards Albert's mom can buy? How many reward points will she have left? Use the drop-down menus to choose the numbers that make the statement true.

Answers

Answer:

Maximum number of gift cards she can purchase = 33

Reward points left with her = 48

Step-by-step explanation:

Let Albert's mom buys the number of gift cards = x

Points for each gift card = 75

Total points consumed to buy x gift cards = 75x

If total points with Albert's mom = 2523

So the remaining points with her = (2523 - 75x)

Inequality representing the remaining points will be,

(2523 - 75x) ≥ 0

75x ≤ 2523

x ≤ [tex]\frac{2523}{75}[/tex]

x ≤ 33.64

Maximum number of cards she can buy = 33

Therefore, reward points with her = 2523 - (75 × 33)

                                                         = 2523 - 2475

                                                         = 48

a number k is less than 3 units from 10

Answers

Answer:

-7 < k < 7

Step-by-step explanation:

The absolute value of the variable k will be less than 7.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result. The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

A number k is less than 3 units from 10. Then the equation is given as

k + 3 < 10

Simplify the equation, then the value of the variable k will be

k + 3 < 10

k < 10 - 3

k < 7

The absolute value of the variable k will be less than 7.

Your question was incomplete, your question was probably be...

A number k is less than 3 units from 10.

What's the absolute value inequality?

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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A popular band is trying to raise at least $20,000 for charity by holding multiple concerts at a park. It plans to sell tickets at $25 each. For each 2-hour concert, the band would need to pay the park $1,250 in fees for security, cleaning, and traffic services

Answers

The complete question is;

A popular band is trying to raise at least $20,000 for charity by holding multiple concerts at a park. It plans to sell tickets at $25 each. For each 2-hour concert, the band would need to pay the park $1,250 in fees for security, cleaning, and traffic services.

The band needs to find the combinations of number of tickets sold, t, and number of concerts held, c, that would allow it to reach its fundraising goal.

Write an inequality to represent the constraints in this situation.

Answer:

(25t)c - 1250 ≥ $20,000

Step-by-step explanation:

We are told the band is trying to raise at least $20,000.

It's trying to sell tickets at $25 each.

We are told that they pay the park $1,250 in fees for security, cleaning, and traffic services.

Now, expenses for each concert is $1,250.

Now, we are told that the number of tickets sold is t, and number of concerts held, c.

Thus, total amount that can be realized for "c" number of concerts is;

A = (25t)c

Now, expenses for each concert is $1,250.

Thus, total profit for "c" number of concerts is;

P = (25t)c - 1250

Now, they are trying to raise at least $20,000. Meaning greater than or equal to $20,000.

Thus, the profit must be greater than or equal to $20,000.

Thus, the inequality is;

(25t)c - 1250 ≥ $20,000

Can anyone help with this one ?

Answers

1) 35
7) 145
4) 55
5) 90
9) 145
Brainliest please if you can and you’re welcome

Answer:

1. 35 2. 145 3. 35 4. 90 5. 145

Step-by-step explanation:

(-1, 2) and (0,4)
Find the slope of the line passing through the given points

Answers

Slope is 2. 2 is your answer

The lengths of salamanders have a normal distribution with mean 15cm, and standard deviation 2cm. What is the probability a salamander has length between 12.2cm and 16.5cm

Answers

Answer:

The probability a salamander has a length between 12.2cm and 16.5cm is 0.6930

Step-by-step explanation:

We start by finding the z-score of each

Mathematically;

z-score = (x - mean)/SD

for 12.2 cm

z-score = (12.2 - 15)/2 = -2.8/2 = -1.4

For 16.5 cm

z-score = (16.5 -15)/2 = 1.5/2 = 0.75

So the probability we want to calculate is;

P( -1.4 < z < 0.75)

we can calculate this using the normal distribution table

Mathematically;

P( -1.4 < z < 0.75) = P( z < 0.75) - P( z < -1.4)

= 0.2263 + 0.30738

= 0.69262

An archer is shooting at targets. The height of the arrow is 5 feet above the ground. Due to safety rules, the archer much aim the arrow parallel to the ground.

How long does it take for the arrow to hit a target that is 3 feet above the ground? Round your answer to the nearest hundredth.

Answers

Answer:

The time it takes to hit a target that is 3 feet above ground is approximately 0.35 seconds

Step-by-step explanation:

The given parameters are;

The height of the arrow above the ground = 5 ft.

The height of the target above the ground = 3 ft.

The time it takes the arrow to fall to 3 ft. from 5 ft. above the ground is given by the free fall formula, since the arrow has no vertical velocity component

The equation for free fall is h = 1/2·g·t²

Where;

h = The height of fall = 5 - 3 = 2 feet

g = The acceleration due to gravity = 32.17405 ft/s²

t = How long it takes to fall (to its target)

∴ 2 = 1/2 × 32.17405 × t²

t² = 2/(1/2 × 32.17405) ≈ 0.1243

t = √0.1243 ≈ 0.353

t = 0.35 seconds, to the nearest hundredth

Therefore, the time it takes to fall 2 ft to hit a target that is 3 feet above ground = 0.35 seconds.

The time to hit the target is simply the period the arrow gets to the target from the arch.

The time to hit the target is 0.35 seconds

The height of a parabola is calculated as:

[tex]\mathbf{h = \frac{1}{2}gt^2}[/tex]

Where:

[tex]\mathbf{h =5 - 3 = 2}[/tex] --- the difference between the height of the arrow and the height of the target.

[tex]\mathbf{g = 32.2 fts^{-2}}[/tex] --- acceleration due to gravity

So, we have:

[tex]\mathbf{2 = \frac{1}{2} \times 32.2 \times t^2}[/tex]

Multiply both sides by 2

[tex]\mathbf{4 = 32.2 \times t^2}[/tex]

Divide both sides by 32.2

[tex]\mathbf{0.124 = t^2}[/tex]

Take square roots

[tex]\mathbf{0.35 = t}[/tex]

Rewrite as:

[tex]\mathbf{t = 0.35s}[/tex]

Hence, the time to hit the target is 0.35 seconds

Read more about rates and time at:

https://brainly.com/question/18798899

Write 9.84 as a mixed number in simplest form

Answers

Answer:

[tex]9\frac{21}{25}[/tex]

Step-by-step explanation:

Simplify the 0.84. It is 84/100, or divided by 4, it is 21/25.

Hope this helped! :))

Answer:

Step-by-step explanation:

Mixed numbers are a whole number and a fraction together

sooo  9.84=  9 84/100   but we can reduce 84 /100 to 42/50 and that can be reduced to 21/25

so write 9 21/25

Identify the slope and y-intercept of the line. Then write the equation in slope form.

Answers

B=3
M=2
Y=2x+3 is the answer

Natalie wants to grow it 4 in. Longer than it is now. She knows that hair grows at an average rate of 15 cm/year. How many more months will she wait to have her hair cut? (1 cm ≈ 0.39 in.) Question 1 First, you will need to convert the rate of 15 cm/year to inches per month. Which two conversion factors should you use? Select all correct answers.

Answers

Answer:

8.21 months.

Step-by-step explanation:

The growth rate of hair, R = 15 cm/year

As 1 year = 12 months,

[tex]\Rightarrow R=\frac{15}{12}[/tex] cm/month

As 1 cm ≈ 0.39 in.,

[tex]\Rightarrow R= \frac{15}{12}\times 0.39=0.4875[/tex] inch/month.

As she wants to grow it 4 inches longer than it now, So, the time required for 4 inches growth = 4/0.4875=8.21 months.

Hence, she needs to wait for 8.21 months.

4
The temperature at 6:00 P.M. is 70°F. The
temperature will drop 6°F each hour. Write an
equation in slope-intercept form that models the
temperature in y degrees Fahrenheit after
x hours.
O A y= 70x – 6
B y = 6x - 70
Oc y=-6x – 70
OD y=-6x + 70

Answers

Answer:

Step-by-step explanation:

D

A sample of 100 mg of cobalt is studied over time. After 1 year, the sample was measured at 97.5 mg. If the size of the sample continues to change at the same rate, which equation models the change?

Answers

Answer: B

Step-by-step explanation: The answer is B

Answer:

B

Step-by-step explanation:

Helpppo I’ll name you the brainliest

Answers

X - intercept is 2 or (2,0) of line A

x intercept of line b is 6 or (6,0)

will mark brainles if answered fast There are 72 items on Ginny bookshelf 1/3 of items are hardcover books. 4/9 of the items are softcover books The many DVDs are on Ginny's shelf?

Answers

I think it’s 16 because 1/3=3/9 of hardcover books
3/9+4/9=7/9
2/9 is DVDS
72/9=8
8x2=16

Answer ASAP!!! First correct answer gets brainliest

Answers

Step-by-step explanation:

Given problem;

  Write the equation of the line with the given slope and y-intercept

 The equation of a line is expressed as;

          y  = mx + b;

   m is the slope and b is the y-intercept

7. m = -5, b = -6

   y  = mx + b

Input the parameters:

    y = -5x -6

8. m = 1, b = -4

   y = mx + b

Input the parameters:

   y = x - 4

9. m = 0.4, b = -9

    y = mx + b

Input the parameters:

    y = 0.4x - 9

10. m = 0, b = 3

     y = mx + b

Input the parameters:

    y = 3

PLEASE HELP HELP PLEASEEEEEEEEEEEEE

Answers

Answer:

D

Step-by-step explanation:

So it needs to go down because its negative. So B and C are out. Now if you look at the y intercept (4), you just have to look at which graph has a y intercept that's positive. So that's D

Please help me i can’t get this one right. someone help me please if you know how to do this.

Answers

Answer:

it’s going up by 3 boys per girl!

Step-by-step explanation:

Correct me if I’m wrong by commenting down below.

what is the slope of a line that passes through 5,15 and 6,11?

Answers

Answer:

slope is -4, equation is y= -4x + 35

Step-by-step explanation:

 11-15

______

 6-5

-4

____

1

11 = -4(6) + b

b = 35

Solve for x and y, will mark brainliest please help!

Answers

Answer: x=37, y=9

Step-by-step explanation:

3x+11+x+21=180

4x+32=180

4x=148

x=37

3(37)+11=14y-4

111+11=14y-4

122=14y-4

14y=126

y=9

Fill in the blank for each part below.

1) The slope is...
A. zero
B. Undefined

2) The equation is...
A. y=-1
B. X=-1

Answers

these are the answers to both
1. A
2. A
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