the regression equation is ŷ = 29.29 − 0.64x, the sample size is 8, and the standard error of the slope is 0.22. what is the test statistic to test the significance of the slope?

Answers

Answer 1

The test statistic to test the significance of the slope in this regression equation is approximately -2.91.

To test the significance of the slope in the regression equation ŷ = 29.29 - 0.64x with a sample size of 8 and a standard error of the slope equal to 0.22, you can use the t-test statistic. The t-test statistic measures the difference between the observed slope and the null hypothesis slope (which is typically 0, assuming no relationship between the variables) divided by the standard error of the slope.

In this case, the null hypothesis slope (H₀) is 0, the observed slope (b₁) is -0.64, and the standard error of the slope (SE) is 0.22. To calculate the test statistic (t), use the following formula:

t = (b₁ - H₀) / SE

Substitute the given values:

t = (-0.64 - 0) / 0.22

t = -0.64 / 0.22

t ≈ -2.91

The test statistic to test the significance of the slope in this regression equation is approximately -2.91. You can use this value to determine the p-value and assess the significance of the relationship between the variables based on a chosen significance level (e.g., 0.05).

To know more about regression equation, refer to the link below:

https://brainly.com/question/28196337#

#SPJ11


Related Questions

-2 (2x - 3) = 26
what is the the value of the x​

Answers

Answer:

-5

Step-by-step explanation:

Answer:-8

Step-by-step explanation:-2 x 2 = -4, -2 x 3 = -6

-4x - -6, -4 x -8 = 32. 32- -6 = 26

:)

An airplane is flying at a constant speed. The airplane descends 450 meters in 9 seconds. Write the speed of the airplane as an integer.

Answers

Answer: Speed = 50meters/ second

Writing as an integer becomes + 50meters/ second 0R  50meters/ second

Step-by-step explanation:

Speed is given as   = Distance / Time

distance covered  by Airplane  = 450 meters

Time = 9 seconds

Therefore,  Speed = 450/ 9 = 50 meters/second

May you please help me with this

Answers

Answer:

ratio of a is 44:56, ratio of b is 97:3

fraction of a is 44/100, fraction of b is 97/100

decimal of a is 0.44, decimal of b is 0.97

percent of a is 97%, and percent of b is 97%

if this is wrong im so sorry :()()()()(

step-by-step explanation:

letter d is 7 someone help me please!!!!

Answers

Answer:

The answer is A. -7

Step-by-step explanation:

76 + 41 = 117

117 + 70 = 187

187- 7 = 180

Hope this helps

Answer:

A -7

Step-by-step explanation:

the angles of a triangle add up to 180

76+41+70 = 187-7 180

Help a dmb person out
You are renting a Porsche for the day. There is a daily fee of $50 and a charge of $0.50 per mile. Your budget allows a maximum total cost of $100. How many miles can you travel in the car on your budget?

Answers

Answer:

100 miles

Step-by-step explanation:

Brendan has $65 worth of balloons and flowers delivered to his mother. He pays the bill plus an 8.5% sales tax and an 18% tip on the total cost
including tax. He also pays a $10 delivery fee that is charged after the tax and tip. How much change does he receive it he pays with two $50
bills ? Round to the nearest cent

Answers

Answer:

6.77

Step-by-step explanation:

Answer:

Step-by-step explanation:

QUESTION: If Z is the incenter of (triangle shape)TUV, find m(triangle shape)ZTV .

x =

m(triangle shape)ZTV = _ degrees

Answers

Solution :

It is given that Z is the incenter

So, we get from the figure

[tex]$5x +1= 8x -14$[/tex]

⇒ [tex]$-3x = -15$[/tex]

⇒ x = 5

So, [tex]$5x+1 = 26 ^\circ \text{ and}\ 8x-14 = 26^\circ$[/tex]

We have to find ∠ ZTU.

In Δ UTV,

∠ TUV + ∠ UTV + ∠ TVU = 180°

⇒ (2 x 21°) + ∠ UTV + (2 x 26°) = 180°

⇒ ∠ UTV  = 180° - 52° - 42°

                = 86°

So, [tex]$\angle ZTV = \frac{1}{2} \ \angle UTV$[/tex]

                 [tex]$ = \frac{1}{2} \times 86^\circ$[/tex]

                 [tex]$=43^\circ$[/tex]

Therefore, m ∠ ZTU = 43°

a zoo has two fewer elephants then zebras and five times more monkeys then elephants. the total number of elephants, monkeys, and zebras is 30

Answers

4 elephants

20 monkeys

6 zebras

//

z - 2 = elephants

(6) - 2 = 4 elephants

5(e) = monkeys

5(4) = 20 monkeys

20 + 4 + 7 = 30

Roberto can lift 103.5 pounds. That is .9 times the amount his friend Vance can lift. Can Vance lift more or less than 103.5 pounds?

Answers

Answer:

Step-by-step explanation:

Vance can lift 0.9×103.5 pounds.

0.9 < 1, so you know that

0.9×103.5 < 103.5

HEEEEELP The height of a street light is 50 feet. It casts a 40−foot shadow. At the same time, a man standing next to the street light casts a 5−foot shadow. How tall is the man?

Answers

Answer:

5 foot

Step-by-step explanation:

Which expression is equivalent to |a|≤5 ?


a ≥ –5 or a ≤ 5


a ≥ –5 and a ≤ 5


a ≤ –5 and a ≥ 5


a ≤ –5 or a ≥ 5

Answers

Answer:

I think its  the first one but not 100 % sure

Step-by-step explanation:

Answer:

A>= -5 and A<= 5

Step-by-step explanation:

URGENT!!! PLS HELPPP!!!​

Answers

Answer:

17 and 19

Step-by-step explanation:

Johnny is standing on a platform 12 meters high throw ball up velocity 11 meters what time will ball hit the ground after 2 seconds

Answers

Answer:

The ball will hit the ground after 1.54 seconds

Step-by-step explanation:

This is a form of projectile motion in horizontal direction

Thus, time taken to reach the ground

[tex]t = \sqrt{\frac{2*d}{g} }[/tex]

Substituting the given values in above equation, we get -

[tex]t = \sqrt{\frac{2* 12}{10} } \\t = 1.54[/tex]seconds

how to find lateral surface and total surface area of triangular prism​

Answers

Answer:

using the formula ...........duh

Answer:

Lateral Surface Area of a Triangular Prism Formula

Finds the total area contained by the three rectangular sides of the prism. You can think of the lateral surface area as the total surface area of the prism minus the two triangular areas at the top and bottom of the prism.

A 24-ft ladder leans against the outside wall of a school, waiting for someone to climb and fix a broken window. The base of the ladder is 15 ft from the base of the building. Before Levi climbs the ladder, he wants to make sure he has the ladder at a safe angle with the building before climbing. Find the angle of elevation the ladder makes with the ground.

a. approx. 51.3°

b. approx. 32.0°

c. approx. 38.7°

d. approx. 58.0°​

Answers

I am learning this right now but in two hours I will tell you

Answer:

A) 51.3 degrees

Step-by-step explanation:

cosine x=15/24=0.625

x=51.32 degrees

Graph a line with a slope of -3/4 that contains the point (2,3).

Answers

Answer:

y = -3/4x + 4.5

Step-by-step explanation:

what do u mean by trigonometry ​

Answers

Answer:

Step-by-step explanation:

There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant and cotangent. These six trigonometric ratios are abbreviated as sin, cos, tan, csc, sec, cot. These are referred to as ratios since they can be expressed in terms of the sides of a right-angled triangle for a specific angle θ.

Basic Formulas

By using a right-angled triangle as a reference, the trigonometric functions or identities are derived: sin θ = Opposite Side/Hypotenuse. cos θ = Adjacent Side/Hypotenuse. tan θ = Opposite Side/Adjacent Side.

Main Trigonometric Functions

Sine (sin)Cosine (cos)Tangent (tan)Secant (sec)Cosecant (csc)Cotangent (cot

Both depend on distances and angles, but trigonometry uses the measurement of angles while geometry deals with angles only in terms of equality of angles and sums of angles. Actually, it seems like basic calculus is easier than basic trigonometry.

(hope this helps can i plz have brainlist :D hehe)

Find the area of the shaded region.

Answers

Answer:

80

Step-by-step explanation:

multiply 10 by 8

  (If it is not right... i apoligize but i don't see a shaded region)

Answer:

80 in

Step-by-step explanation:

To find the area of a rectangle, you have to multiply the length and height of the rectangle. When you do you will get 80 in

Hope this Helped

PLEASE HELP ME ASAP FOR BRAINLIST AND EXPLAIN

Answers

Answer:

Option B  (4/9)

Step-by-step explanation:

Probability is the number of outcomes that you would want to happen over the number of all outcomes that are possible. On each dice, there are 4 numbers less than five. Now we need to find all possible combinations of these numbers and we do that by mulitply 4 x 4.

4 x 4 = 16

Now we just find the number of all possible outcomes and that would be...

6 x 6 = 36

Now 16 over 36 will be...

16/36 = 4/9

pls help me thank you!

Answers

Answer:

D.

If possiable may i have brainlist?

What is the value of 2 (38 –14) + 38 = 9?

Answers

Answer: 2(38−14)+38=?9

86≠9

False

Step-by-step explanation: hope this help

Find the x-intercept and and y-intercept algebraically

y = log2 (x + 1) - 3

need work

Answers

Answer:

x intercept is 7 y intercept is -3

Step-by-step explanation:

Write equation out and have y=0

[tex] log_{2}(x - 1) - 3 = 0[/tex]

Add 3 to both sides

[tex] log_{2}(x - 1) = 3[/tex]

Using the log to exponet rule

[tex] (log_{b}(x) = y ) \: equal \: b {}^{y} = x[/tex]

Where b and x are real numbers and b cannot equal 1.

Reorder the equation as a exponet

[tex] log_{2}((x + 1) = 3[/tex]

[tex] {2}^{3} = x + 1[/tex]

Simplify

[tex]8 = x + 1[/tex]

Subtract 1 from both sides

[tex]x = 7[/tex]

So the x intercept is 7

To find y intercept plug 0 in as x

[tex] log_{2}(0 + 1) - 3 = y[/tex]

[tex] log_{2}(1) - 3 = y[/tex]

Add 3 to both sides

[tex] log_{2}(1) = y + 3[/tex]

Rewrite in exponet form

[tex] {2}^{y + 3} = 1[/tex]

Using the zero exponet property, anything to the zero power equal 1 so we must find a value that equal out to zero using the exponet so we'll set up the equation

[tex]y + 3 = 0[/tex]

Subtract 3 from both sides and we get

[tex]y = - 3[/tex]

So the x intercept is 7 and the y intercept is -3

Tyrone has 16 model airplanes on his shelf. He has 4 times as many model airplanes as model trains. How many model trains does Tyrone have?


Write multiplication and division equations to model and solve the problem. Use m for the unknown

Answers

16 model airplanes on his shelf

4 times as many model airplanes as model trains

let's denote the number of model trains as m

So,

m=16×4

m=64

Therefore,there are 64 model trains.

pleasemark me as brainliest answer

What angle is the picture classified as?

Answers

Answer:

I think it's non of these.

Alternate Exterior Angles

help brainliest if right

Answers

Answer:

y = 1x + 7

Step-by-step explanation:

The equation formula for this scenario is y = mx + b

m = slope

b = y-intercept

To find the slope, pick two points. I picked (2,9) and (4,11).

Subtract 11 from 9, you'll get 2.

Subtract 4 from 2, you'll get 2.

2/2 equals 1.     The slope (m) = 1

To find the b, y-intercept, plot the points on a graph and see if the linear line across the y-intercept.  For this case, the y-intercept is 7.

The equation is:  y = 1x + 7

Find the approximate perimeter of △ABC plotted below.

Answers

Answer:

The perimeter of triangle ΔABC is approximately;

(A) 20.0

Step-by-step explanation:

In ΔABC, the coordinates of the vertices are given as follows;

A(-4, 1), B(-2, 3), C(3, -4)

The length, 'l', of the sides of the triangle with known 'x', am]nd 'y' coordinates are given as follows;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

Therefore, we have;

The length of segment [tex]\overline {AB}[/tex] = √((3 - 1)² + (-2 - (-4))²) = 2·√2 ≈ 2.83

The length of segment [tex]\overline {BC}[/tex] = √(((-4) - 3)² + (3 - (-2))²) = √74 ≈ 8.6

The length of segment [tex]\overline {AC}[/tex] = √(((-4) - 1)² + (3 - (-4))²) = √74 ≈ 8.6

The perimeter of a geometric shape is equal to the sum of the length of sides of the figure

The perimeter of triangle ΔABC = (The length of segment [tex]\overline {AB}[/tex]) + (The length of segment [tex]\overline {BC}[/tex] ) + (The length of segment [tex]\overline {AC}[/tex])

∴ The perimeter of triangle ΔABC = 2·√2 + √74 + √74 ≈ 20.0.

Answer: 20.0

Step-by-step explanation: Khan Academy

Si se organizan los niños de mayor a menor de acuerdo con su estatura, ¿cuál es el orden correcto? A. Andrés, Samuel, Laura y Valeria. B. Samuel, Andrés, Valeria y Laura. C. Laura, Valeria, Andrés y Samuel. D. Valeria, Laura, Samuel y Andrés.

Answers

Answer:

A. Andres, Samuel, Laura y Valeria.

Step-by-step explanation:

The height of Andres is greater than all other students. Andres has height of 4.2feet.  Samuel is second highest in height and he has height of 4.0 feet. The lowest height student is Valeria who has 3.5 feet height.

can someone simplify 8+3(x-4) for me. I need works, answer, and reasoning

Answers

First focus on the parentheses. Distribute the 3 by multiplying by x and -4.

8 + 3(x-4) = 8 + 3x -12

Then, combine like terms (things with x, things without an x, the 8 and -12)

=3x - 4

Answer:

3x+-4

Step-by-step explanation:

8+3(x-4)

8+3x-12

8-12+3x

-4+3x

can you mark me the brainllest please

Si una persona compra diariamente 2 1/2 de carne ¿Cuántos kilogramos de carne habrá comprado en 6 días? -15 kilos -16 kilos -17 kilos -20 kilos

Answers

Answer:

Kg de carne= 15 kg

Step-by-step explanation:

Dada la siguiente información:

Una persona compra 2.5kg de carne por día.

Tenemos que calcular cuántos kg de carne compra en 6 días. Para esto debemos usar la siguiente formula:

Kg de carne= kg por día*cantidad de días

Kg de carne= 2.5*6

Kg de carne= 15 kg

(-5x + 4) - (3x2 – 7x + 4) simplified and written in standard form?​

Answers

Answer:

Simplify the expression=

− 3 x^ 2  +  2 x

It's the same thing in standard form.

Step-by-step explanation:

Answer:

-3x^2+2x

Step-by-step explanation:

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