The following model was used to relate E (y) to a single qualitative variable with four levels
E(y) = Bo+ Bixi+ b2x2+ b3x3
where x3=if level 4 0 if not x2=if level 3 X2 0 if not x1=if level 2 X = 0 if not
The model was fit to n 30 data points and the follow ing result was obtained y=10.2-4x,+12x, +2x Find estimates for E (y) when the qualitative independent var. is set at each of the following levels : a) Level b) Level 2 c) Level 3 d) Level 4 e) Specify the null and the alternative hypothesis you would use to test whether E(y) is the same for all four levels of the independent variables

Answers

Answer 1

For level 1, E(y) = 10.2; For level 2, E(y) = 10.2 - 4X; For level 3, E(y) = 10.2 + 12X2; For level 4, E(y) = 12.2. To test whether E(y) is the same for all four levels, use an ANOVA test with H0: B1 = B2 = B3 = 0 and Ha: at least one Bi is not equal to 0.

Based on the given model, we have

E(y) = B₀ + B₁x₁ + B₂x₂ + B₃x₃

where x₃ = if level 4, 0 if not, x₂ = if level 3, X₂, 0 if not, and x₁ = if level 2, X, 0 if not.

The coefficients are

B₀ = 10.2

B₁ = -4

B₂ = 12

B₃ = 2

For level 1, x₁ = x₂ = x₃ = 0, so E(y) = B₀ = 10.2.

For level 2, x₁ = X, x₂ = x₃ = 0, so E(y) = B₀ + B₁x₁ = 10.2 - 4X.

For level 3, x₂ = X₂, x₁ = x₃ = 0, so E(y) = B₀ + B₂x₂ = 10.2 + 12X₂.

For level 4, x₃ = 1, x₁ = x₂ = 0, so E(y) = Bo + B₃ = 12.2.

To test whether E(y) is the same for all four levels of the independent variable, we can use an analysis of variance (ANOVA) test. The null hypothesis is that there is no significant difference in the mean values of y across the four levels, and the alternative hypothesis is that there is at least one significant difference. Mathematically,

H0: B₁ = B₂ = B₃ = 0

Ha: at least one Bi is not equal to 0

We can use an F-test to test this hypothesis.

To know more about alternative hypothesis:

https://brainly.com/question/30404845

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Related Questions

60/100 is equivalent to what fraction ? Multiple choice.
60/80
6/10
2/5
4/5

Answers

It's 6/10 because 60/100 is just a longer version of 6/10

Please help quick will give brainliest!

Answers

Answer:

The statement that correctly uses limits to determine the end behavior of f(x) is;

[tex]\lim\limits_{x \to \pm \infty} \dfrac{7 \cdot x^2+ x + 1}{x^4 + 1}= \lim\limits_{x \to \pm \infty} \dfrac{7 }{x^2 }[/tex] so the end behavior of the function is that as x → ±∞, f(x) → 0

Step-by-step explanation:

The given function is presented here as follows;

[tex]f(x) = \dfrac{7 \cdot x^2+ x + 1}{x^4 + 1}[/tex]

The limit of the function is presented as follows;

[tex]\lim\limits_{x \to \pm \infty} \dfrac{7 \cdot x^2+ x + 1}{x^4 + 1}[/tex]

Dividing the terms by x², we have;

[tex]\lim\limits_{x \to \pm \infty} \dfrac{\dfrac{7 \cdot x^2}{x^2} + \dfrac{x}{x^2} + \dfrac{1}{x^2} }{\dfrac{x^4}{x^2} +\dfrac{1}{x^2} }= \lim\limits_{x \to \pm \infty} \dfrac{7 + \dfrac{1}{x} + \dfrac{1}{x^2} }{x^2 +\dfrac{1}{x^2} }[/tex]

As 'x' tends to ±∞, we have;

[tex]\lim\limits_{x \to \pm \infty} \dfrac{7 + \dfrac{1}{x} + \dfrac{1}{x^2} }{x^2 +\dfrac{1}{x^2} } = \lim\limits_{x \to \pm \infty} \dfrac{7 + 0 + 0 }{x^2 +0 } = \lim\limits_{x \to \pm \infty} \dfrac{7 }{x^2 }[/tex]

However, we have that the end behavior of 7/x² as 'x' tends to ±∞ is 7/x² tends to 0;

Therefore, we have;

[tex]f(x) \rightarrow 0 \ as \lim\limits_{x \to \pm \infty} \dfrac{7 }{x^2 }[/tex]

The statement that correctly uses limits to determine the end behavior of f(x) is therefor given as follows;

[tex]\lim\limits_{x \to \pm \infty} \dfrac{7 \cdot x^2+ x + 1}{x^4 + 1}= \lim\limits_{x \to \pm \infty} \dfrac{7 }{x^2 }[/tex] so the end behavior of the function is that as x → ±∞, f(x) → 0.

Solve the system of equations.
−10y+9x=−9
10y+5x=−5

Answers

-10y+9x=-9
solve for y=9/10+9x/10
solve for x=-1+10y/9

10y+5x=-5
solve for y=-1/2-x/2
solve for x=-1-2y

Put the numbers in order from smallest to largest

-10,-1,0,10,1

Answers

Answer:

The order is (-10,-1,0,1,10)

Answer:

-10 -1 0 1 10

Step-by-step explanation:

as -10 is smaller than -1 is because the negative numbers keep getting smaller as they progress for example 1 and 10 which is bigger it is ofc 10 but I negative numbers its quite the opposite hope this helps

can someone help :) i am d^mb ok

Answers

Answer:

answer is

32x2=64

16x4=64

4×3=64

4 3
8 2
2 6
there you go! <3

d. How much of each ingredient would you need to make an identical recipe that serves 18 people?​

Answers

Say you needed 2 cups of flour, you would multiply that by 18, 2x18 = 36. So just multiply every ingredient by 18.

Omh pls help me 6thh grade math it's do in 10 mins

Answers

Answer:

1. 42

2. d cuz it has nothing-

3. A

all im saying cuz ik u can do this

Answer:

number 1 is 52% i am  goin through them

Step-by-step explanation:

8.please help this is timed !!!

Answers

Answer:

X=4

Step-by-step explanation:

x+y=6

(+)x-y=2 (Add to get rid of y's)

2x=8

2x/2=8/2

x=4

How many
many inches long is the base of the building in the drawing?

Answers

180 because 3+3+3+3+3=15*12 (12 inches in each feet)

[tex] \huge \purple{\tt{Answer:}} [/tex]

5 inches

OR

15 feet

Laura deposited $12,000 into an account that earns 8% interest. How much money will
she have in 5 years if the interest is compounded quarterly?

Answers

9514 1404 393

Answer:

  $17,831.37

Step-by-step explanation:

The compound interest formula is useful.

  A = P(1 +r/n)^(nt)

  A = $12,000(1 + .08/4)^(4·5) = $12,000(1.02^20)

  A = $17,831.37

Laura will have $17,831.37 in 5 years.

help me please i’ll mark brilliant

Answers

Answer:

Yes

Step-by-step explanation:

A number of complaints were received from the users saying that the pencil was sliding on

paper and therefore it had become difficult to write. What is the probable reason for this?A number of complaints were received from the users saying that the pencil was sliding on

paper and therefore it had become difficult to write. What is the probable reason for this?​

Answers

Answer:

Graphite is a form of carbon.

Step-by-step explanation:

Pencils are usually made from graphite and clay.

Now, graphite is a from of carbon and as such it is soft due to the weak intermolecular forces it possesses in between it's layers. Therefore if the graphite is increased, this will make the pencil not to be hard enough when writing and easily slide.

Acil cevap lütfen hemen atarsanız sevinirim (✿^‿^)♥️♥️♥️​

Answers

Answer:

hai :D

Step-by-step explanation:

Also try D

A plane flew 1,236 miles in 4 hours.what was the planes average speed (rate) in miles per hour?

Answers

Answer:

309 miles per hour

Step-by-step explanation:

Divide the total distance traveled by the time.  So the answer is 1236 miles divided by 4 hours, or 309 miles per hour

Penelope was reading a book at a rate
of 1.2 pages per minute. At that rate,
how many pages can Penelope read in
5 minutes?
I NEED THIS LIKE NOWW IT FOR A TESTTT

Answers

Answer:

Penelope can read 6 pages in 5 minutes.

Step-by-step explanation:

You would use the equation 1.2x = P

P=how many pages    x=how many minutes

1.2(5) = 6

She can read 6 pages in 5 minutes

Help me 20 points please help me

Answers

Answer:

Rational: 4.2, -11/5, 0.36

Irrational:

[tex] \sqrt{ \frac{1}{4} } [/tex]

[tex] \sqrt{8} [/tex]

[tex]\pi[/tex]

[tex] \sqrt{ \frac{3}{4} } [/tex]

Step-by-step explanation:

Hope this Helped

99 times 44 take 99 add 19 what does it equal

Answers

Answer:

The answer is 4,276

I hope it helps

the answer is 4,276.

Calculate the values of angles A and C of triangle ABC, where b =17.23cm,c=10.86cm and B=10 1 degree 15

Answers

Answer:

C = 38.18°;  A = 40.57°

Step-by-step explanation:

B = 101' 15"

B = 101° + (15/60) = 101 + 0.25 = 101.25°

b =17.23cm,c=10.86cm

From Sine rule :

c/ sin C = b / Sin B

10.86 / sin C = 17.23 / sin 101.25

SinC = (sin 101.25 * 10.86) / 17.23

Sin C = 10.651328 / 17.23

Sin C = 0.6181850

C = Sin^-1(0.6181850)

C = 38.183716

C = 38.18°

Sum of angles in a triangle = 180°

A +  B + C = 180°

A + 101.25° + 38.18° = 180°

A = (180 - (101.25 + 38.18))

A = 40.57°

25×2,06 5,2×7,6
4,002×35 45,07×5,1
103×2,12 3,02×0,25
12,5×11 7,52×6,002

Answers

Answer:

25×2,06 5,2×7,6

4,002×35 45,07×5,1

103×2,12 3,02×0,25

12,5×11 7,52×6,002

Step-by-step explanation:

;lfk;dlj




Cora paid 16/100 of a dollar to buy a postcard from Grand Canyon National park in Arizona. What is 65/100 written as a
decimal in terms of dollars?

Answers

Answer:

$.65 (sixty five cents)

Step-by-step explanation:

can someone help right away!! please!!

Answers

Answer:

y = - 2x + 1

Step-by-step explanation:

Substitute an x value from the table into the equation

x = 1 : y = - 2(1) = - 2 ← require to add 1 to obtain y = - 1

x = 4 : y = - 2(4) = - 8 ← require to add 1 yo obtain y = - 7

Then equation describing the relationship is

y = - 2x + 1

what’s the slope_____

Answers

Answer:

-4

Step-by-step explanation:

The formula for finding the slope of a line is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. We can take any two points given to us from the table and plug them into that expression. For example, we can use the points (0,0) and (2,-8).

[tex]\frac{y_2-y_1}{x_2-x_1}\\= \frac{-8-0}{2-0}\\= \frac{-8}{2}[/tex]

Simplify the fraction

[tex]= -4[/tex]

Therefore, the slope of the line is equal to -4.

I hope this helps!

A hot air balloon went from an elevation of 6,039 feet to an elevation of 3,288 feet in 42 minutes. What was its rate of descent?

Answers

Answer:

65.5 feet per second

Step-by-step explanation:

In order to calculate the rate of descent we first need to find the difference in heigh that the hot air balloon descended. We do this by subtracting the initial height from the end height like so...

6,039 - 3,288 = 2,751 ft

Now that we have the difference in height we need to divide this by 42 since that is the amount of time it took for this descent to occur.

2,751 ft / 42s = 65.5 ft/s

Finally we can see that the rate of descent was 65.5 feet per second

f(x)= 2x+3/x-1, x ≠ 1, dan f^-1 adalah invers dari f
tentukan :
A. infers fungsi F
B. Nilai dari f^-1 (-3)​​

Answers

Answer:

The answer are

A.

[tex] {f}^{ - 1} (x) = \frac{x + 3}{x - 2} [/tex]

B.

[tex] {f}^{ - 1} ( - 3) = 0[/tex]

Step-by-step explanation:

To find the infers we do that

[tex]f(x) = \frac{2 x + 3}{x - 1 } \\ (x - 1)f(x) = 2x + 3 \\ xf(x) - f(x) = 2x + 3 \\ xf(x) - 2x = f(x) + 3 \\ x(f(x) - 2) = f(x) + 3 \\ x = \frac{f(x) + 3}{f(x) - 2} \\ then \: \\ {f}^{ - 1} (x) = \frac{x + 3}{x - 2} \\ then \\ {f }^{ - 1} ( - 3) = \frac{ - 3 + 3}{ - 3 + 2} = 0[/tex]

Due in a few minutes-please help me solve these geometry problems!!!

Answers

Answer:

You must be 65.3 ft. closer

Step-by-step explanation:

The first triangle has a length x along the ground and a height of 50 with a 90 degree angle between the ground and the tree. The angle of elevation is 25 degrees.

By the definition of tangent:

tan(25)=50/x

Solve for x

x=50/tan(25)=107.225

The second triangle has a length y along the ground and a height of 50 with a 90 degree angle between the ground and the tree. The angle of elevation is 50 degrees.

By the definition of tangent:

tan(50)=50/y

Solve for y

y=50/tan(50)=41.955

The difference between x and y is how much closer to the tree you must be.

x-y=65.27

what is the centimeters per hour. PICTURE. I REALLY NEED HELP

Answers

Answer:

1 Centimeter per Hour: 1 Centimeter per hour is approximately equal to 2.777 778 x 10-6 meters per second (SI unit).

Step-by-step explanation:

1 Centimeter per Hour: 1 Centimeter per hour is approximately equal to 2.777 778 x 10-6 meters per second (SI unit).

Hurry please will mark brainliest!!!!!

Answers

Answer:

C

Step-by-step explanation:

brianliest :3

The answer is C (rotation 90° clockwise)

Lara made some chocolate tarts for every 5 cups of chocolate chips she added 3 cups of sugar.What is the ratio of chocolate chips into the sugar?

Answers

Answer:chocolate chips : Sugar

                                      5  :  3

Step-by-step explanation:

A ratio tells us the relationship between 2 or more items, explaining how many times the value of one item is contained in another and denoted as either a/b, a to b or a:b.

Here, Lara made chocolate tarts , For every 5 cups of chocolate chip, 3 cups of sugar are added, Therefore the ratio of chocolate chips to sugar is expressed as

chocolate chips : Sugar

                        5  :  3

Enter the value of n so the expression (7y + 6) + (3y – 2) is equivalent to (ny + 4),

Answers

Answer:

10

Step-by-step explanation:

Complete the statement. Round to the nearest hundredth if necessary.

0.3 km ≈ ? mi

Answers

Answer:

0.186 mile rounded = 0.19

Step-by-step explanation:

the answer is 0.19

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