Consider the following sample regressions for the linear, the quadratic, and the cubic models along with their respective R2 and adjusted R2.
Linear Quadratic Cubic
Intercept 29.83 29.35 26.88
x −0.04 0.16 2.11
x2 NA −0.02 −0.38
x3 NA NA 0.02
R2 0.001 0.001 0.008
Adjusted R2 −0.026 −0.053 −0.075
a. Predict y for x = 1 and 2 with each of the estimated models.
b. Select the most appropriate model.
1. Linear model
2. Cubic model
3. Quadratic model

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

From the given information :

Linear model : y = - 0.04x + 29.83

Quadratic model : y = - 0.02x² + 0.16x + 29.35

Cubic model : y = 0.02x³ - 0.38x² + 2.11x + 26.88

Predicted y value for X = 1 ; X = 2

Linear model :

y = - 0.04(1) + 29.83 = 29.79

y = - 0.04(2) + 29.83 = 29.75

Quadratic model :

X = 1

y = - 0.02(1)^2 + 0.16(1) + 29.35 = 29.49

X = 2

y = - 0.02(2)^2 + 0.16(2) + 29.35 = 29.59

Cubic model :

X = 1

y = 0.02(1)^3 - 0.38(1)^2 + 2.11(1) + 26.88 = 28.63

X = 2

y = 0.02(2)^3 - 0.38(2)^3 + 2.11(2) + 26.88 = 28.22

Based on the R² value of the models given :

Linear ; R² = 0.001 ; R = sqrt(0.001) = 0.0316

Quadratic ; R² = 0.001 ; R = sqrt(0.001) = 0.0316

Cubic ; R² = 0.008 ; R = sqrt(0.008) = 0.089

Hence, the model which best fits the data is Cubic model.


Related Questions

Jack bought 3 slices of cheese pizza and 4 slices of
mushroom pizza for a total cost of $12.50. Grace
bought 3 slices of cheese pizza and 2 slices of
mushroom pizza for a total cost of $8.50.
a. What is the cost of one slice of cheese pizza and
one slice of mushroom pizza?
b. Jordyn met Jack and Grace for pizza. She bought 5
cheese slices and 2 mushroom pizzas. How much did
she spend?

Answers

A) each slice costs 1.70 1.70x2=3.40 (8.50/5=1.70)
B)each slice still costs 1.70 1.70x7=11.90

Elias purchases a home for $38,900. The value of the home, in thousands of dollars, since his purchase is shown in the table. A 2-column table with 6 rows. The first column is labeled years since purchase with entries 0, 5, 10, 15, 20, 25. The second column is labeled value (thousands of dollars) with entries 38.9, 62.4, 89.3, 145.2, 210.8, 326.5. Find an exponential function that models the data. Round numerical values to the nearest hundredth. Let x be the number of years since the purchase. The function f(x) = ( )x models the data. Use the model to predict the home’s value. After 12 years, the home’s value will be about $ thousand. After 35 years, the home’s value will be about $ thousand.

Answers

Answer:

f(x)=39.59 (1.09)

Use the model to predict the home’s value.

After 12 years, the home’s value will be about $

111 thousand.

After 35 years, the home’s value will be about $

808 thousand.

Step-by-step explanation:

Edge 2021 :)

A function assigns the values. After 35 years, the home’s value will be about $215.079.68 thousand.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

A general exponential equation is given as,

y = A(1+b)ˣ

Now, if x is the number of years since the purchase. And we substitute the value of the x and y from the table. Then we can write,

38.9 = A(1+b)ˣ

A = 38.9

Therefore, the equation can now be written as,

y = 38.9(1+b)ˣ

Substitute the second point in the equation,

y = 38.9(1+b)ˣ

62.4 = 38.9(1+b)⁵

1.604113 = (1+b)⁵

1+b = 1.09912

b= 0.09

Hence, the function that can model the value of the house after x years is y=38.9(1.09)ˣ.

B.) Now the value of the house after 12 years,

y=38.9(1.09)ˣ

y=38.9(1.09)¹²

y = 109.41

The home’s value will be about $ 109.41 thousand.

C.) After 35 years, the home’s value will be,

y=38.9(1.09)ˣ

y=38.9(1.09)¹⁰⁰

y = 215.079.68

After 35 years, the home’s value will be about $215.079.68 thousand.

Learn more about Function:

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PS: WILL GIVE BRANLIEST
Select ALL the ratios that are equivalent to 16 : 6

a. 3 to 8

b. 32 : 12

c. 4 to 2

d. 8 to 3

Question 3 options:

a & b


b & c


b & d


a & c

Answers

I'm pretty sure it a 3 to 8 and 32 to 12

Answer:

The answer will be b & c.

The answer will be e B and C that is 32:12 and 4 to 2. Because it is equivalent to 16: 6.

i’ll give brainliest please help it's due in 30 min

Answers

Answer: √8
Explanation: x=(5/√8) x (√8 √8)

Apply the elimination method to solve the system of equations 2x + 6y = 8 and 3x + 2y = 5. Which THREE statements are correct?

Answers

Answer:E,D,A

Step-by-step explanation:

10 POINTS FOR CORRECT ANSWER PLEASE HELP ME

Answers

Your answer should be 12.73
12.73 is the answer

Need help if you can answer through would be great thank you

Answers

Step-by-step explanation:

I don't really know the answer 'cause

check the answer in aswer sheet

Which of the following is true about the figure?

a. m MUC - m MUP = m PUC
b. m DUC + m VUA = m DUV
C. m MUC = m MUV = m VUA = m AUD
d. m CUA + m DUP = m PUM​

Answers

Answer:

a. m<MUC - m<MUP = m<PUC

Step-by-step explanation:

From the options given, the only statement that is true of the figure shown is:

a. m<MUC - m<MUP = m<PUC

Rationale:

m<MUC = m<MUP + m<PUC (Angle Addition Postulate)

Subtract m<MUP from each side

m<MUC - m<MUP = m<PUC

Need help!! algebra!!!

Part A: The area of a square is (4a2 − 20a + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)

Part B: The area of a rectangle is (9a2 − 16b2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

Answers

Answer:

Step-by-step explanation:

What is always true about the net of a prism?
It contains 0 triangles.
It contains 0 or 2 triangles.
O It contains 3 or more triangles.
o It contains 4 or more triangles.

Answers

Answer:

B: It contains 0 or 2 triangles

Step-by-step explanation:

Just took the unit test review on edge and this was the answer

2021

Answer:

it is b the other person is right just did the unit test review

                                              I I

Step-by-step explanation: OO

what is the sum, product of
[tex]2 {x}^{2} + 3x = 0[/tex]

Answers

I believe the sum of the root is: -3/2
And the product of the root is: 0

I hope this helps and have a great week :)

How Do You Know a Solution is a Solution

Answers

Solution in terms of general solution of an equation means the final answer that is gotten for solving the equation

What is the range of the function y=x+8?​

Answers

I think it is

(-infinity, infinity)

There are no restrictions on x. If x can be any value, then the same goes for y.

Answer: Range = ALL REAL NUMBERS.

We can also express the answer as

(-infinity, infinity).

NO FILE HOSTING LINKS!!!!!!
BRAINLIEST!!!
PLEASE HELPP
Answer each part. If necessary, round your answers to the nearest hundredth.

Answers

Answer:

A. 7 pounds

B. $1.60

Step-by-step explanation:

For A you Divide 21 by 3

For B you Divide 14 by 9

A triangle on a sphere could have____
degrees.
A. 175
B. 220
C. 180
D. any number of

Answers

Answer:

I guess it is 180

Step-by-step explanation:

have a good day!

A triangle on a sphere could have 220 degrees. Therefore, the correct option is option B among all the given options.

What is spherical triangle?

This spherical triangle is indeed a shape created on a sphere's surface by three.  The spherical triangle is indeed a shape created on a sphere's surface by three large circular arcs coming together pairwise at its three vertices.

The spherical triangle, which is frequently referred to as an Euler triangle when three of its vertices are intersected pairwise by circular arcs, is the spherical equivalent of the planar triangle. The spherical triangle, also known as an Euler triangle, is the spherical equivalent of the planar triangle. A triangle on a sphere could have 220 degrees.

Therefore, the correct option is option B.

To know more about spherical triangle, here:

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count the numbers of triangles in the figures​

Answers

Answer:

A

Step-by-step explanation:

look it carefully.

someone please help me answer this

Answers

b= 30
a2+b2=c2
72^2+b^2 = 78^2
5184+b^2 = 6084
b2 = 900
b = 30

Answer:

b = 30 km is the answer

Step-by-step explanation:

a = 72 km

b = ?

c = 78 km

According to the Pythagoras theorem,

a² + b² = c²

72² + b² = 78²

5184 + b² = 6084

b² = 6084 - 5184

b² = 900

b = 30 km

∴ b = 30 km is the length of the missing leg

A university investigation was conducted to determine whether women and men complete medical school in significantly different amounts of time, on the average. Two independent random samples were selected and the following summary information concerning times to completion of medical school computed:

Women Men
Sample size 90 100
Sample mean 8.4 years 8.5 years
Sample std 0.6 year 0.5 years

Required:
Perform the appropriate test to see if there is a significant difference in time to completion of medical school between women and men.

Answers

Answer:

Following are the responses to the given question:

Step-by-step explanation:

[tex]Null \ H_{yp}: \mu_{men} = \mu_{women}\\\\Alt \ Hyp: \mu_{men} \neq \mu_{women}\\\\Std\ Error\ (SE) = \sqrt{(\frac{s_1^2}{n_1}) + (\frac{s_2^2}{n_2})} \\\\[/tex]

                          [tex]= \sqrt{(\frac{0.62}{90}) + (\frac{0.52}{100})} \\\\= 0.08[/tex]

[tex]test\ statistic \ t = \frac{(x_1 - x_2)}{SE} = \frac{(8.4 - 8.5)}{0.08} = -1.25[/tex]

Degrees of freedom

[tex]= \frac{(\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2})^2}{\frac{(\frac{s_1^2}{n_1})^2}{(n_1 - 1)}} + \frac{(\frac{s_2^2}{n_2)^2}}{(n_2 - 1)} \\\\= 174[/tex]

Considering a degree of 5% importance

T for df critical value = 174 and sig level = 0.05 is +1.973

Let area of refusal shall be  t < -1.973 or t > +1.973

Because statistical tests weren't in the refusal zone, they may not deny that zero but find that perhaps the argument how both women and men undergo med school is considerably different lengths of time is not significantly supported.

Find the area of this circle. Use 3.14 for .
82 mm
The area of the circle is about mm2.
(Round to the nearest hundredth as needed.

Answers

Answer:

Step-by-step explanation:

What is 82 mm? The radius or diameter?

If the radius is 82 mm, the area is π82² ≅ 21,113.36 mm².

If the diameter is 82 mm, the radius is 41 mm and the area is π41² ≅ 5,278.34 mm²

mobymax help 11 points math

Answers

Answer:

10/15 + 3/15 = 13/15

Step-by-step explanation:

10/15 + 3/15 = 13/15

1) 1Find the measure of the arc or angle indicated by a question mark (?). Assume that lines that appear to be tangent are tangent. ​

Answers

Answer:

120 degrees

Step-by-step explanation:

55+ 185/2 = 120

The population of racoons in a town increased by 10% from Year 1 to Year 2. The population of racoons in Year 2 is 66.

Answers

Answer:

59.4 year one

Step-by-step explanation:

i dont know  if this what you mean but i think this is what you mean

STANKY PLSS HELP ME ❤️

Answers

Answer:

PQS is a triangle

Step-by-step explanation:

Area of triangle= L×B

So,

20×7

140cm²

Answer :70

Step-by-step explanation:

Area formula: a times b/ 2

PQS: 7 times 20/ 2= 70

Your answer is 70

I hope this helps and may God bless you.  have a nice day, bye!

Which of these describes the transformation of ∆XYZ to ∆X᾿Y᾿Z᾿?

Answers

9514 1404 393

Answer:

  A.  translation 8 left

Step-by-step explanation:

Points X'Y'Z' are in the same clockwise order as points XYZ, so no reflection is involved.

Point X' at -6 is 8 units left of point X at 2. ΔXYZ has been translated left 8 units to make ΔX'Y'Z'.

Answer:

a is the answer.

Step-by-step explanation:

There are 20 students in Lynn's class. 12 of the students are in choir and 8 are in band. Write a fraction, in simplest form, to represent the part of the class that is in choir.

Answers

Answer:

3/5

Step-by-step explanation:

i‍♀️‍♀️

Answer:

3/5

Step-by-step explanation:

students in choir - 12

total number of students - 20

students in choir

-------------------------

total no. of students

12

----

20

3

--

5

Which fraction is equivalent to 10/15

Answers

Answer:

2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

divide each number by the GCF of the two: 5

10/5 = 2

15/5 = 3

Simplify it: 2/3

PLS HELP SHOW ALL UR STEPS AND PLZ DONT GIVE ME A LINK TO FOLLOW IM JUS A LITTLE KID TRYNNA GET THIS RIGHT

Answers

third side =√{30²+16²)=34

sin theta/2=16/34

theta/2=sin-¹(16/34)

theta=28.07×2=56.14

A cooler contains eleven bottles of sports drink: five lemon-lime flavored, three orange flavored, and three fruit-punch flavored. You randomly grab a bottle. Then you return the bottle to the cooler, mix up the bottles, and randomly select another bottle. Both times you get a lemon-lime drink.

Answers

Answer:

the reason you picked up more lemon lime drinks was because it had the most in the cooler.

Step-by-step explanation:

Answer:

25/121 chance of grabbing a lemon-lime bottle twice.

Step-by-step explanation:

5/11 chance the first time, times 5/11 for the second time (no removal factor) is 25/121 chace, or around a 20.66% chance.

Halloween candy goes on sale 25% off the day after Halloween. If a bag of candy is priced $10, what is the price the day after Halloween?

Answers

if 25% = 1/4 then what is 1/4 of 10? 2.5
should be 7.5 because i made sure my calculations were correct and 25 % off of $10 is 7.5

HELP ME 2 PICTURES BTW 50 POINTS

Answers

Answer:

7 and 9 are alternate interior angles

Step-by-step explanation:

4 and 11 are corresponding angles

1 and 7 are vertical angles

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So, in short, the economic and political changes resulting from the Cold War, in this case being the tensions created by differing economic and political ideologies, had detrimental effects on Vietnam, as it left Vietnam with a lot of political unrest, as well as a political and economic divide that led to indecisiveness on how to govern, as well as political and economic instability. In China, the US shift from being relatively lax on communism to cracking down on it on a large scale, as well as the Soviet shift to a policy of communist expansion, had a variety of effects on its economy and politics. At the start of the Cold War tensions, the iron curtain was being created, and many countries joined the non-aligned movement, meaning that they didnt align themselves with either side. Many non-aligned movement members received trade embargos from both sides, severely inhibiting their economy as to force them to pick a side. 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