Find the slope of the line that passes through (6, 1) and (10, 8).

Answer:

(i) The estimated regression equation is;

[tex]\hat y[/tex] ≈ 1.6896 + 0.0604·X

The coefficient of 'X' indicates that [tex]\hat y[/tex] increase by a multiple of 0.0604 for each million dollar increase in sales, X

(ii) The estimated earnings for the company is approximately $4.7096 million

(iii) The standard error of estimate is approximately 29.34

The high standard error of estimate indicates that individual mean do not accurately represent the population mean

(iv) The coefficient of determination is approximately 0.57925

The coefficient of determination indicates that the probability of the coordinate of a new point of data to be located on the line is 0.57925

Step-by-step explanation:

The given data is presented as follows;

[tex]\begin{array}{ccc}Sales \ (\$million)&&Earning \ (\$million) \\89.2&&4.9\\18.6&&4.4\\18.2&&1.3\\71.7&&8\\58.6&&6.6\\46.8&&4.1\\17.5&&2.6\\11.9&&1.7\end{array}[/tex]

(i) From the data, we have;

The regression equation can be presented as follows;

[tex]\hat y[/tex] = b₀ + b₁·x

Where;

b₁ = The slope given as follows;

[tex]b_1 = \dfrac{\Sigma(x_i - \overline x) \cdot (y_i - \overline y)}{\Sigma(x_i - \overline x)^2}[/tex]

b₀ = [tex]\overline y[/tex] - b₁·[tex]\overline x[/tex]

From the data, we have;

[tex]{\Sigma(x_i - \overline x) \cdot (y_i - \overline y)}[/tex] = 364.05

[tex]\Sigma(x_i - \overline x)^2}[/tex] = 6,027.259

[tex]\overline y[/tex] = 4.2

[tex]\overline x[/tex] = 41.5625

∴ b₁ = 364.05/6,027.259 ≈ 0.06040059005

b₀ = 4.2 - 0.06040059005 × 41.5625 ≈ 1.68960047605 ≈ 1.69

Therefore, we have the regression equation as follows;

[tex]\hat y[/tex] ≈ 1.6896 + 0.0604·X

The coefficient of 'X' indicates that the earnings increase by a multiple of 0.0604 for each million dollar increase in sales

(ii) For the small company, we have;

X = $50.0 million, therefore, we get;

[tex]\hat y[/tex] = 1.6896 + 0.0604 × 50 = 4.7096

The estimated earnings for the company, [tex]\hat y[/tex] = 4.7096 million

(iii) The standard error of estimate, σ, is given by the following formula;

[tex]\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{n - 1}}[/tex]

Where;

n = The sample size

Therefore, we have;

[tex]\sigma =\sqrt{\dfrac{6,027.259 }{8 - 1}} \approx 29.34[/tex]

The standard error of estimate, σ ≈ 29.34

The high standard error of estimate indicates that it is very unlikely that a given mean value within the data is a representation of the true population mean

(iv) The coefficient of determination (R Square) is given as follows;

[tex]R^2 = \dfrac{SSR}{SST}[/tex]

Where;

SSR = The Sum of Squared Regression ≈ 21.9884

SST = The total variation in the sample ≈ 37.96

Therefore, R² ≈ 21.9884/37.96 ≈ 0.57925

The coefficient of determination, R² ≈ 0.57925.

Therefore, by the coefficient of determination, the likelihood of a new introduced data point to located on the line is 0.57925

Complete Question

Luke has a cylinder with a radius of 5 inches and a height of 6 inches. What is the volume of his cylinder in cubic inches?

Answer:

471.24 cubic inches

Step-by-step explanation:

The formula for the volume of a cylinder =

πr²h

r = Radius = 5 in

h = Height = 6 in

Hence,

Volume = π × (5 in)² × 6 in

= 471.24 cubic inches

Therefore, the volume of his cylinder in cubic inches = 471.24 cubic inches

AnswerЯ могу помочь вам, но я не знаю, как мне так жаль, но вы можете найти ответ, если вы умны и в каком вы классе буквально вы, люди, такие тупыеЯ могу помочь вам, но я не знаю, как мне так жаль, но вы можете найти ответ, если вы умны и в каком вы классе буквально вы, люди, такие тупыеЯ могу помочь вам, но я не знаю, как мне так жаль, но вы можете найти ответ, если вы умны и в каком вы классе буквально вы, люди, такие тупые

Step-by-step explanation:

Answer:

9x + 72

Step-by-step explanation:

Answer:

9x + 8

Step-by-step explanation:

Hope this helps have a nice day :)

*You don't have to read this part*

Parentheses can be removed by multiplying the outside factor to each term inside the parentheses using distributive property.

Answer:

It is p = 1

Step-by-step explanation:

p⁰=1 because it is basically saying and when simplifying fractional exponents we can flip the bottom exponent up to the top if we change the sign, leaving us with : (p⁵-p⁵)=p⁰

Answer:

uhhhhhhh

Step-by-step explanation:

Answer:

about 314 units

Step-by-step explanation:

i was confused but i hope this helps

Answer:

6

Step-by-step explanation:

It's 6. The Pythagorean Theorem details how to find the length of a right triangle's hypotenuse.

The equation is a² + b² = c²

C is the length of the hypotenuse. The side lengths you have are a leg as 8 and hypotenuse as 10. By substituting these values into the equation, we get 8² + b² = 10²

Therefore, 64 + b² =100

So b² = 36

By square rooting both sides we finally reach the answer b=6.

Hope I helped!! (p.s. maybe brainliest)

Answer:

It sounds like you want the circumference of a circle with a 5m radius.

C = 2πr = 2(3.14)(5) = 31.4 m

Answer:

3x^2 + 12x

Step-by-step explanation:

3x(x +4)

3x^2 + 12x

- Multiply 3x * x = 3x^2

- Multiply 3x * 4 = 12x

Which Gives You 3x^2 + 12x  

Answer:

A: 64 cubic meters

Step-by-step explanation:

Multiply 7m, 2m, and 4m. You get 56

Then for the smaller cube multiply 2, 2, and 2

Answer:

They didn't multiply the whole equation by 2 or -3 and only the first part

Answer:

when the first equation was multiplied by 2, the -22 did not get multiplied by 2

when the second equation was multiplied by -3, the -14 did not get multiplied by -3

the result is that x should be = 2

Step-by-step explanation:

Answer:

[tex] - 9 {x}^{ - 4} [/tex]

Step-by-step explanation:

[tex]y = \frac{1}{ {3x}^{3} } = {3x}^{ - 3} [/tex]

[tex]y = < - 3 \times 3 > {x}^{ - 3 - 1} \\ = - 9 {x}^{ - 4} [/tex]

answer

root 15

Step-by-step explanation:

root 15 =3.87 and it is closer to root 4

/Answer:

Short Answer Type:

P1 - (-2,8)

P2 - (1,1)

Slope: (1 - 8) / (1 + 2)

=> -7/3

Therefore: 1 = -7/3 + c

=> 10/3 = c

ttbhbidek umm in 10th grade and idek but u can ask others

Answer:

The factored form of the equation is (x + 4)(x - 6) = 0

Step-by-step explanation:

(x - 4)(x + 2) = 16

[tex]x^{2} -2x - 8 = 16[/tex]

[tex]x^{2} -2x - 24[/tex] = 0

(x - 6)(x + 4) = 0

x = 6  or x = -4

Answer:

10 centimeters

Step-by-step explanation:

diameter = 2r

r = radius

diameter = 2(5cm)

diameter = 10 cm

Answer:

the first table

Step-by-step explanation:

step by step explanation:in a quadratic function, the second different are the same

Answer:

D) [tex]-2\sqrt{3}[/tex]

Step-by-step explanation:

[tex]5\sqrt{27} =15\sqrt{3} \\\\15\sqrt{3}-17\sqrt{3} =-2\sqrt{3}[/tex]

Answer:

Hmmm

Step-by-step explanation:

Answer: 8.

This is because for every 2 years the 10 foot tree will grow one foot and for every year the 8 foot tree will grow one foot.

It takes 8 years fort the 10 ft tree to be:16

This is because you do:

2+2+2+2+2+2+2+2=16

It takes 8 years for the 8 food tree to be: 16

You do:

2+2+2+2+2+2+2+2=16 and we added it 8 times and in 8 years it will be 16

- - Hope this helps! - -

Heart or brain me!

Answer in screen shot below

Answer:

x = 71°

Step-by-step explanation:

Segments of tangents from the same external point are congruent, that is

AT = BT

Then Δ ABT is isosceles with base angles congruent , so

x = [tex]\frac{180-38}{2}[/tex] = [tex]\frac{142}{2}[/tex] = 71°