What is the quadratic regression equation that fits these data?
Number of seconds Helght (In feet)
0
12
1
14
2
15
3
14
4
10
5
6
O A. y=-1.94x2 + 0.62x+ 9.62
B. y = -3.69x2 + 2.08x+8.07
O C. y = 15.68(0.88)
O D. y=-0.89x2 + 3.24x+11.93
SUBMIT

Answers

Answer 1

Answer:

Step-by-step explanation:

The answer is D. Use the Stat and then Edit button on your TI calculator to edit the values in L1 and L2 tables. In L1 enter 0, 1, 2, 3, 4, 5 and then arrow over and enter the y values into L2 the same way. Enter the number 12, then hit enter; enter the number 14, hit enter; enter the number 15 and then hit enter, etc. Do the same for the values that are going into L1.

When that is done, hit the Stat button again and arrow down to QuadReg and hit enter. Depending upon your calculator, you may have to arrow down to "calculate" or the calculator may display the equation immediately after hitting QuadReg. Again, it all depends upon your calculator.

Answer 2

The required correct quadratic regression equation that fits the given data is y = -0.89x² + 3.24x+11.93. Option D is correct.

What is the equation?

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
To find the quadratic regression equation, we need to use a calculator or software that can perform a quadratic regression analysis. Using such a tool, we obtain the following equation:

y = -0.89x² + 3.24x+11.93

This equation fits the data points (0, 12), (1, 14), (2, 15), (3, 14), (4, 10), and (5, 6) with a high degree of accuracy.

The equation is in the form of a quadratic function, which has a parabolic shape when graphed. The coefficient of the x² term (-0.89) indicates that the parabola is downward-facing, while the other coefficients determine the exact shape and position of the parabola.

Option A is incorrect because its equation does not fit the data points accurately. Option B is also incorrect because it is not a quadratic equation, and option C is incorrect because its equation also does not fit the data points accurately.

Learn more about equations here:

brainly.com/question/10413253

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Related Questions

Independence and Exclusiveness are two topics which are important to probability and often confused. Discuss the difference between two events being independent and two events being mutually exclusive. Use examples to demonstrate the difference. Remember to explain as if you are talking to someone who knows nothing about the topic.

Answers

Answer:

Independence and Exclusiveness are two topics which are important to probability and often confused. Discuss the difference between two events being independent and two events being mutually exclusive. Use examples to demonstrate the difference. Remember to explain as if you are talking to someone who knows nothing about the topic.

[my response: talk to them in formal language about the topic.]

Step-by-step explanation:

and this is right or not​

Answers

answer: 11% = 0.11
how: 11 divided by 100 = 0.11

Can you answer this math homework? Please!

Answers

7.5x = 5.5x + 10

x = 5

so i’m guessing it’ll be 5 classes
substitute the 5 into x

the total monthly cost should be $37.5

please correct me if i’m wrong

Factorize the following by splitting the middle term:-
(a) 3x^2 +11x+30

Answers

Answer:

See explanation

Question has been corrected

Step-by-step explanation:

Given:

3x² + 11x + 30

To factorise, multiply the coefficient of x² by 30

= 3 * 30

= 90

Find two numbers that have a product of 90 and a sum of 11

** There are no such two numbers, therefore the question can't be solved using factorization

Correcting the error in the question:

x² + 11x + 30

To factorise, multiply the coefficient of x² by 30

= 1 * 30

= 30

Find two numbers that have a product of 30 and a sum of 11

6 and 5

6 + 5 = 11

6 * 5 = 30

x² + 11x + 30

= x² + 6x + 5x + 30

= x(x + 6) + 5(x + 6)

= (x + 6) (x + 5)

I don't have time to do this before my class, could someone help? Thanks so much

Answers

Answer:

AD=27

Step-by-step explanation:

Evaluate the function.
f(x) = 4x² + 73 – 18
Find f(-9)

Answers

Answer:

379

Step-by-step explanation:

4(-9)²+73-18

4(81)+55

324+55

379

What is the area of this trapezoid?

Answers

Answer:

18 m^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2)h  where b1 and b2 are the lengths of the bases and h is the height

A = 1/2 ( 5 + (6+1)) * 3

A = 1/2 ( 5+7)*3

    = 1/2 (12)3

     = 18

Answer:

B

Step-by-step explanation:

greater base = 6 + 1 = 7 m

Area = [(greater base + minor base) * height] / 2 = [(7+5) * 3]/2 =18 m^2

Write the words that represent s + 21.

Answers

Answer:

A number s plus 21

Step-by-step explanation:

s+21

A number s plus 21

please help with this too

Answers

Answer:

The area of the sector in circle G formed by segments [tex]\overline{AG}[/tex], and [tex]\overline {GB}[/tex] is approximately 125.66 square units

Step-by-step explanation:

The given parameters are;

The radius of the circle with center G, r = 15

The measure of the given angle, m∠AGB = 64°

The area of a sector is given as follows;

Area of a sector of a circle = (θ/360°) × π × r²

Therefore;

The area of the sector in circle G formed by segments [tex]\overline{AG}[/tex], and [tex]\overline {GB}[/tex] is given as follows;

The area of the sector in circle G  = (64°/360°) × π × 15² ≈ 125.66 square units

simplify
(−5abc − 6ac + 7cb) − (10abc + 6ac − 8bc)

Answers

Answer:

-15abc - 12ac + 15bc

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

(-5abc - 6ac + 7cb) - (10abc + 6ac - 8bc)

Step 2: Simplify

[Distributive Property] Distribute negative:                                                        -5abc - 6ac + 7cb - 10abc - 6ac + 8bcCombine like terms:                                                                                         -15abc - 12ac + 15bc

When creating lines of best fit, do you believe that estimation by inspection of the equation is best or do you think it should be determined exactly? In what situations would it be best to use one over the other?

Answers

Answer:

Estimation by inspection is better than trying to determine the line of best fit exactly

i) For a scatter plot : The use of estimation by inspection

ii) For a straight line graph : The exact determination method

Step-by-step explanation:

To create lines of best fit the estimation by inspection is better than trying to determine the line of best fit exactly .

This is because line of best fit only shows the trend of the data and in most cases it doesn't have to start from origin.

Scenarios :

i) For a scatter plot : The use of estimation by inspection

ii) For a straight line graph : The exact determination method

simplify.
[(1+5)⋅2−5]⋅2

Answers

Answer:

14

Step-by-step explanation:

[(1+5)⋅2−5]⋅2

[(6)⋅2−5]⋅2

[12−5]⋅2

[7]⋅2

14

Step-by-step explanation:

[6.2-5].2

[12-5].2

7.2

14 answer

Find the value of the expression 2ab/c when a = -1, b = -4, and c= 2

Answers

Answer:

4

Step-by-step explanation:

Given

[tex]\frac{2ab}{c}[/tex] , substitute the given values into the expression

= [tex]\frac{2(-1)(-4)}{2}[/tex]

= [tex]\frac{2(4)}{2}[/tex]

= [tex]\frac{8}{2}[/tex]

= 4

Here is the answer, I hope it helps

Consider the scenario and use complete sentences to answer the question.

Two players each roll an ordinary number cube. The sum is found of the two numbers showing. If the sum is an even number, player A gets 1 point. If the sum is an odd number, player B gets 1 point. The game ends after 6 rounds.

Is this a fair game? Use the possible results of the game to support your answer.

Answers

Answer:

yes both chances are 1/2 = equal

Step-by-step explanation:

Akili has two tests next week. The probability that he will pass the first test, science, is 34 . How he does on that test affects how he will do on his math test. If he passes science, then the probability that he will also pass the math test is 45; otherwise, the probability is only 13 that he will pass the math test. If the probability he passes exactly one test can be expressed as mn for two relatively prime positive integers m and n, what is m n

Answers

Answer:

Following are solutions to the given question:

Step-by-step explanation:

First-test probability: [tex]\frac{3}{4}[/tex]

A person's chances of passing a second test are reduced if he fails the first test: [tex]\frac{1}{3}[/tex]

However, the chance of failing the first test is 1 in 4. As just a result, the probability of these events is low.

[tex]\to \frac{1}{4}\times \frac{1}{3}=\frac{1}{12}\\\\\to \frac{3}{4} + \frac{1}{12} = \frac{9+1}{12} = \frac{10}{12} = \frac{5}{6}[/tex]

One of the other.


Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
If x+2 is a factor of x^3-6x^2-11x+k then k=

Answers

The value of k in the expression x³ – 6x² – 11x + k is –10

Step-by-step explanation:

From the question given above, the following data were obtained:

f(x) = x³ – 6x² – 11x + k

Factor => x + 2

Value of k =?

Next, we shall obtained the value of x from x + 2. This can be obtained as follow:

x + 2 = 0

Collect like terms

x = 0 – 2

x = –2

Finally, we shall determine the the value of k. This can be obtained as  illustrated below:

f(x) = x³ – 6x² – 11x + k

x = –2

Value of k =?  

f(–2) = 0 since x + 2 is a factor

x³ – 6x² – 11x + k = 0

(–2)³ – (–2)² – 11(–2) + k = 0

–8 – (4) + 22 + K = 0

–8 – 4 + 22 + K = 0

10 + k = 0

Collect like terms

k = 0 – 10

k = –10

Therefore, the value of k is –10

Learn more: https://brainly.com/question/13587979

Anyone knows the answer?

Answers

Answer:

a) yes

b) y = -x

c) yes it goes thru the origin (0,0)

Step-by-step explanation:

a) x**2 + y**2 = 17

(-4)**2 + (-1)**2 = 17

16 + 1 = 17 YES

b) the slope of DE is

(y1 - y2)/(x1 - x2)

(-1 -4)/(-4 -1) = -5/-5 = 1,  so a perpendicular segment will have a

slope of - 1/current slope or -1.

The midpoint of DE is

x = (x1 + x2)/2 = (-4 +1)/2 = -3/2

y = (y1 + y2)/2 = (-1 +4)/2 = 3/2 so

y = mx + b

y = -x + b plug in the point (-3/2,3/2)

3/2 = -(-3/2) + b

b = 0 SO y = -x

c) The circle equation dictates that it has no offset so centers around the origin (0,0) and the equation of the bisector y = -x indeed fits (0,0).

PLZZZZ HELPPPP… IF NOT 100% SURE PLZZ DONT ANSWER! BRAINLIEST TO FIRST AND CORRECT ANSWER!

Answers

Answer is 7/10 because you need the same denominator so you multiply 1/2 by 5 both top and bottom then multiply 1/5 by 2 both top and bottom and then add numerator

Answer:

7/10

Step-by-step explanation:

½ of a cup of cheddar=½ x 1=½

⅕ of a cup of parmesan=⅕ x 1=⅕

all cheese used=½ + ⅕= 7/10

Which equation can be used to find the number of students needed to make 1,500 in profit ?

Answers

Answer:

we can use simple equation

5n-300=1,500 should be the correct answer , I hope this helps !

need help with this question plz picture of question added ​

Answers

Answer:

The domain of the function is (-2,&)

Choose the correct answer below. A. The proportion of numbers in the population is equal to the mean of the sample proportions. B. The proportion of numbers in the population is equal to the mean of the sample proportions of numbers. C. The proportion of numbers in the population is not equal to the mean of the sample proportions. D. The proportion of numbers in the population is equal to the mean of the sample proportions of numbers.

Answers

Answer:

A. The proportion of numbers in the population is equal to the mean of the sample proportions

Step-by-step explanation:

The relationship between the  mean [tex]\mu _{\overline p}[/tex], and standard deviation, [tex]\sigma _{\overline p}[/tex], of the sample proportion and the population proportion, p, are given as follows;

[tex]\mu _{\overline p}[/tex] = p

[tex]\sigma _{\overline p} = \sqrt{\dfrac{p \cdot (1 - p)}{n} } \times \sqrt{\dfrac{N - n}{N - 1} }[/tex]

Where;

N = The size of the population

n = The sample size

Therefore, the proportion of numbers in the population is equal to the mean of the sample proportions

im doing a exam please help me fast

Seven guests are arriving for dinner. How many possible orders can they arrive in?

5,040!

7!

5!

49!

Answers

Answer:

7!

Hope it is helpful

What did they ask on FLVS alegebra 1 honors moduel 7 dba

Answers

Answer:

its easy dont worry

Step-by-step explanation:

A salesman sold twice as much pears in the afternoon than in the morning. If he sold 360 kilograms of pears that day, how many kilograms did he sell in the morning and how many in the afternoon?

Answers

Answer:

120 kg in morning and 240 kg in afternoon

Step-by-step explanation:

x+2x=360 kg

Work:

x + 2x = 360 kg

3x = 360 kg

3x/3 = 360 kg/3

x = 120

2x=2(120 kg) =240 kg

Final Answer:

So, 120 kg in morning and 240 kg in the afternoon.

Hope this helps!

Find the 20th term of the following sequence.
-6, -4,-2, O,...

Answers

Step-by-step explanation:

An=-6+(20-1)×2

=-6+19(2)

=-6+38

=32

Please hurry I will mark you brainliest

It's a hot summer
day and the icecream truck is on it's way. The driver gives you two options:
1) You can have a cone that is doubled in radius but the same height as a regular cone.

OR

2) You can have a cone that is doubled in height but the same radius as a regular cone.

Which would you choose and why?
You can explain it or attach a picture of your work. ( please show it in math form)

Answers

Answer:

Option 1: Double the radius

Step-by-step explanation:

The formula for the volume of a cone is:

1/3[tex]\pi[/tex]r^2h

It squares the radius whereas it only multiplies by the height. Let's try both situations.

1. 1/3[tex]\pi[/tex](2)^2(1) --> 4/3

2. 1/3[tex]\pi[/tex](1)^2(2) --> 2/3

Option one is better.

David's goldfish ate 20 grams of food in 4 weeks. At this rate, how long would it take the fish to eat the food
in a 100-gram container?

Answers

Answer: 20 weeks for 100 grams

If f(x) = -x2 – 1, and
g(x) = x + 5, then
f(g(x)) = [ ? ]x2+[? ]x+[?]

Answers

Answer:

-x^2-10x-26

Step-by-step explanation:

f(x) = -x^2 – 1, and

g(x) = x + 5

f(g(x)) = Plug g(x) in for x in f(x)

        = -(x+5)^2 -1

        = -(x^2 +10x+25) -1

         = -x^2 -10x-25 -1

         =-x^2-10x-26

please anyone help no wrong asnwers plss ------

Answers

(-1/4, 2 1/4)

I graphed the equations and that was the other solution. See the attached photo to view the graph.

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

25 x square - 4y Square = 36 equation 1
5 x - 2 y=2equation 2​

Answers

It is hard to find out question cn u pls take a pic and upload so it will more easier to find out the question

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