A survey conducted by a research team was to investigate how the education level, tenure in current employment, and age are related to annual income. A sample of 20 employees is selected and the data are given below. Education (No. of years) Length of tenure in current employment (No. of years) Age (No. of years) Annual income ($) 17 8 40 124,000 12 12 41 30,000 20 9 44 193,000 14 4 42 88,000 12 1 19 27,000 14 9 28 43,000 12 8 43 96,000 18 10 37 110,000 16 12 36 88,000 11 7 39 36,000 16 14 36 81,000 12 4 22 38,000 16 17 45 140,000 13 7 42 11,000 11 6 18 21,000 20 4 40 151,000 19 7 35 124,000 16 12 38 48,000 12 2 19 26,000 10 6 44 124,000 a. Determine the estimated multiple linear regression equation that can be used to predict the annual income given number of years school completed (Education), length of tenure in current employment, and age.

Answers

Answer 1

Answer:

y = - 143481.1924 + 10011.9212x1 - 2193.8838x2 + 2689.2405x3

Step-by-step explanation:

Given the data below:

Education (No. of years) Length of tenure in current employment (No. of years) Age (No. of years) Annual income ($) 17 8 40 124,000 12 12 41 30,000 20 9 44 193,000 14 4 42 88,000 12 1 19 27,000 14 9 28 43,000 12 8 43 96,000 18 10 37 110,000 16 12 36 88,000 11 7 39 36,000 16 14 36 81,000 12 4 22 38,000 16 17 45 140,000 13 7 42 11,000 11 6 18 21,000 20 4 40 151,000 19 7 35 124,000 16 12 38 48,000 12 2 19 26,000 10 6 44 124,000

The estimated multiple linear regression equation that can be used to predict the annual income using number of years school completed (Education), length of tenure in current employment, and age using an online multiple regression calculator is :

y = - 143481.1924 + 10011.9212x1 - 2193.8838x2 + 2689.2405x3

According to the general form of a multiple linear regression model:

-143481.1924 = intercept(c) ; where regression line crosses the origin

10011.9212x1 - 2193.8838x2 + 2689.2405x3 are weight coefficients of the three predictor variables ; x1, x2, and x3

y = predicted variable

Answer 2

Where the regression line crosses the origin 10011.92x₁ – 2193.88x₂ + 2689.24x₃ are weight coefficients of the three predictor variables x₁, x₂, and x₃. Then y is the predicted variable.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more two variables.

A survey conducted by a research team was to investigate how the education level, tenure in current employment, and age are related to annual income.

A sample of 20 employees is selected.

The estimated multiple linear regression equation that can be used to predict the annual income using the number of years of school completed (Education), length of tenure in current employment, and age using an online multiple regression calculator will be

[tex]\rm y=-143481.19 + 10011.92x_1-2193.88x_2+2689.24x_3\\[/tex]

According to the general form of a multiple linear regression model will be

[tex]\rm -143481.19 = intercept (C)[/tex]

Where the regression line crosses the origin 10011.92x₁ – 2193.88x₂ + 2689.24x₃ are weight coefficients of the three predictor variables x₁, x₂, and x₃.

y = predicted variable.

More about the linear system link is given below.

https://brainly.com/question/20379472


Related Questions

Identify the slope in the
following table of values.

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Answer:

X =0

Y=0

..........Am i right

A random sample of 10 size AA batteries for toys yield a mean of 3.27 hours with standard deviation, 0.68 hours.

(a) Find the critical value, t*, for a 99% CI. t* =
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Step-by-step explanation:

Which one is greater 2000 kg or 2 g

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The answer is 2000kg

The side length of an equilateral triangle is 5 centimeters. Find the length of an altitude. Round your answer to the nearest tenth.

The length of the altitude is about
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Answers

If the side length of an equilateral triangle is 5 centimeters, the length of altitude is about 4.33 centimeters.

What is an equilateral triangle?

An equilateral triangle can be defined as a type of triangle or regular polygon that has equal side lengths and all of its interior angles are equal.

How to calculate the length of altitude.

Mathematically, the length of altitude of an equilateral triangle is calculated by using this formula:

[tex]L=\frac{\sqrt{3} }{2} a[/tex]

Where:

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Given the following data:

Side length = 5 centimeters.

Substituting the given parameters into the formula, we have;

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Length = 4.33 centimeters.

Read more on equilateral triangle here: brainly.com/question/11844452

A rectangular portrait is 3 feet wide and 3 feet high. It costs $3.83 per foot to put a gold
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Answers

Your answer is $34.47
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4c=3 solve for c please

Answers

Step-by-step explanation:

Given equation is:-

4c=3

Dividing both sides by 4, we get

4c/4=3/4

By doing simply, we get

c=¾

Hence, the value of c will be ¾.

Given z=-4-6i
Write down the conjugate of z

Answers

Answer:

z = -4 + 6i

Step-by-step explanation:

A math conjugate is formed by changing the sign between two terms in a binomial. For instance, the conjugate of x+y is x−y . We can also say that x+y is a conjugate of x−y . In other words, the two binomials are conjugates of each other.

Eva is 5 years younger than 3 times Bill's age. If Eva is 2 years old, how old is Bill?

Answers

Answer:

17 years old.

Step-by-step explanation:

5 years than 3 times can be represented as 5*3.

5*3=15.

If Eva is 2, and Bill is 15 years older, 2+15=17.

Therefore, Bill is 17 years of age.

Solve for x:
(4*11-x+4=33)

Answers

Step-by-step explanation:

[tex]4\cdot \:11-x+4=33[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:4\cdot \:11=44[/tex]

[tex]44-x+4=33[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]-x+44+4=33[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:44+4=48[/tex]

[tex]-x+48=33[/tex]

[tex]\mathrm{Subtract\:}48\mathrm{\:from\:both\:sides}[/tex]

[tex]-x+48-48=33-48[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-x=-15[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-1[/tex]

[tex]\frac{-x}{-1}=\frac{-15}{-1}[/tex]

[tex]Simplify[/tex]

[tex]x=15[/tex]

Answer:

Okay so yes the answer is 15

Step-by-step explanation:

It begins with 4X11 which is 44

So the equation becomes 44-x+4=33

Then I add 44 plus 4 which is me adding all the available terms which is 48

Then I subtracted 33 from 48 to find the value of x

And 48-33=15

So there you pretty much have it.

To be sure you can plug the answer in.

4x11=44

44-(x) which is 15 so 44-15=29

29+4=33

There ya have it!

1. A parallelogram can be inscribed inside of a circle.
a) Always
b) Sometimes
c) Never

2. Circles can be inscribed inside of quadrilaterals.
a) Always
b) Sometimes
c) Never

Answers

1. No, the quadrilateral that can be inscribe in a circle are a square,rectangle, trapezoid and kite . Soo never

2. Sometimes, not every quadrilateral or polygon can be inscribe.

…I think that’s. Correct

GIVING BRAINLIEST TO WHOEVER GETS THIS CORRECT!
What is the unit rate for meters per second if a car travels 374 meters in 17​ seconds?

Answers

Answer:22

374meters. 17

(/). divided by (/)

17seconds 17

Equals 22 meters per second

Step-by-step explanation:

Write 23.4571 correct to
4 significant figures

Answers

Answer:

Your answer would be 23.46

Please help!!!!!!!!!!!

Answers

3 rectangles
2 squares
A=LW
A=1/2bh
A=9*3=27
27*3=81
A=1/2*9*2
A=9*4=36
81+36=117
117 inches squared

18) The school that John goes to is selling tickets to the annual talent show. On the first day of ticket
sales the school sold 3 senior citizen tickets and 5 student tickets for a total of $71. The school
took in $190 on the second day by selling 10 senior citizen tickets and 12 student tickets. Find
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Answers

Answer:

Student ticket=$10. Senior ticket=$7

Step-by-step explanation:

If we say Student ticket price = Y. and senior ticket price = X. Then we can say:

[tex]3x+5y=71\\10x+12y=190[/tex]

We can rewrite one of the equations as y equals:

[tex]10x=190-12y[/tex]

Then, we simply solve for x.

[tex]\frac{10x=190-12y}{10}=x=19-1.2y[/tex]

Then, we use the other equation and replace x with the equation we just solved

[tex]3(19-1.2y)+5y=71\\[/tex]

We simplify and it becomes:

[tex]57-3.6y+5y=71[/tex]

Then we subtract 57 from each side and get:

[tex]-3.6y+5y=-14[/tex]

Next, we combine the y and get:

[tex]1.4y=14[/tex]

Then we divide by 1.4 and get:

[tex]\frac{1.4y=14}{1.4} =y=10[/tex]

This means that the cost per student ticket is $10

Next we replace the y value in an equation with 10 and solve:

[tex]3x+5y=71\\3x+5(10)=71\\3x+50=71\\[/tex]

Then we subtract 50 from each side:

[tex]3x+50=71\\-50\\3x=21[/tex]

Finally, we divide each side by 3:

[tex]\frac{3x=21}{3} =x=7[/tex]

This means that each senior ticket costs $7

I need helppp please

Answers

Step-by-step explanation:

3(2/3y) =3(-6)

2y=-18

2/2y= -18/2

y=-9

a pair of socks cost $18.50 the markup is 5% the taxes​

Answers

Answer:

$19.43

Step-by-step explanation:

here a subtraction problem that has been solved incorrectly 41-27-28 choose the addition sentence that check this subtraction problem​

Answers

Answer:

-14 + 28 + 27

Step-by-step explanation:

well 42-27-28 is -14 so add -14 to 28 27 and you might get 42

PLEASE HELP
Given a graph for the transformation of f(x) in the format g(x) = f(x) + k, determine the k value.
two parabolas open up with f of x passing through negative 3 comma negative 3 and g of x passing through negative 3 comma 1

A. k = −3
B. k = 1
C. k = 4
D. k = 5

Answers

Look up to their vertexes

f(x) has vertex at (-3,-3)g(x) has vertex at (-3,1)

So

[tex]\\ \rm\rightarrowtail g(x)=f(x)+k[/tex]

[tex]\\ \rm\rightarrowtail g(-3)=f(-3)+k[/tex]

[tex]\\ \rm\rightarrowtail 1=-3+k[/tex]

[tex]\\ \rm\rightarrowtail k=1+3[/tex]

[tex]\\ \rm\rightarrowtail k=4[/tex]

The required value of K for the transformation of f(x) is 4. Option C is correct.

Given that,
Graph for the transformation of f(x) in the format g(x) = f(x) + k,
To determine the k value.
Two parabolas open up with f(x) passing through (- 3, - 3)and g(x) passing through  (-3, 1).

What is a parabola?

A parabola is a cross section cut out of the cone and represented by an equation

Here,
Since equation of transformation is g(x) = f(x) + k
Now put the values of the vertex in the transformation equation,
f(x) passing through (- 3, - 3)and g(x) passing through  (-3, 1).

f(-3) = -3
g(-3) = 1
g(-3) = f(-3) + k
1 = -3 + k
k = 1 + 3

k = 4

Thus, the required value of K for the transformation of f(x) is 4. Option C is correct.

Learn more about parabola here:

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Theo budgets 154 for karate classes he buys a karate uniform called a dogi for 12 if it cost 8 to attend each karate class which inequality below represents the number of classes c can Theo can take

Answers

Answer:

154 divide by 12 when you get your answer multiply it by 8

in a for loop, is it possible to use indexing?

Answers

Answer:

Yes

Step-by-step explanation:

A for loop basically relies on repeating the same code for a pre-set number of times. During which you can make any code repeat inside of it, including indexing through a type of list. Many times a for-loop will use the indexes in a list to calculate the number of times that the loop has to repeat. This is usually done in order to search or apply changes in an array of other types of data structures that have countless values stored in it.

The area of the triangle below is 4.06 square meters. What is the length of the base?
2.8 m
ET

Answers

Answer:

2.9m

Step-by-step explanation:

Hope this helps! Have a great day!

P.S. Brainliest helps me reach more people and shows that I have reliable answers :D

if I have a recipe for 5 cups of chicken broth how much broth would I use​

Answers

5 cups of broth? I’m not sure if this is meant to be serious

Answer: you would use 5 cups

Step-by-step explanation:

if the recipe calls for 5 cups of chicken both you would use the 5 cups as it tells you

explain why cant a cross section be a sphere

Answers

We know that of all the shapes, a sphere has the smallest surface area for its volume. The intersection of a plane figure with a sphere is a circle. All cross-sections of a sphere are circles. In the above figure, we can see, if a plane cuts the sphere at different angles, the cross-sections we get are circles only.

Brainliest if correct

Answers

Answer:

[tex]\frac{13}{15}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3}+\frac{1}{5}=\frac{10}{15}+\frac{3}{15}=\frac{13}{15}[/tex]

i have the question in the picture below but I have to put more words so here ya go

Answers

Answer:

I think the answer is either B or D

Step-by-step explanation:

Let's see

<ADT and <TDSBoth lies on a line .They makes a complete line

So they are Linear pairs

Option B

the of difference numbers is 1 and their product is 132

Answers

Answer:

11 and 12 or -11 and -12

Step-by-step explanation:

Need help with number 3


8/t; t = 4

Answers

Hello

x -  7

for  x =  23   = 23 - 7 = 16

3 a - b =  12 - 6 = 6

8/t  =  8/4 =  2

9 + m =  9 + 1.5 = 10.5

1/2 w + 2 =  1/2 x 1/9 + 2 = 1/18 + 2 = 1/18 + 36/18 = 37/18

5 ( 6.2 + z ) =   50

Write the number 689,000,000,000,000 in scientific
notation.

Answers

Answer:

6.89 x 10^14

Step-by-step explanation:

PLEASE HELP 100 POINTS!!

Mr. Williams needs his computer hooked up to every station in the school. Not every station is connected to every other station. The cost of connecting various stations is represented in the graph below. What is the cost of the minimum spanning tree using Kurskal's Algorithm?

A) 58
B) 60
C) 62
D) 64

Answers

We need the diagonal of rectangle

AE=perpendicular=10=BBase=EH=8+9+7=24=B

Hypotenuse be H

Apply Pythagorean theorem

[tex]\\ \rm\Rrightarrow H^2=P^2+B^2[/tex]

[tex]\\ \rm\Rrightarrow H^2=10^2+24^2[/tex]

[tex]\\ \rm\Rrightarrow H^2=26^2[/tex]

[tex]\\ \rm\Rrightarrow H=26[/tex]

A different camera is selling for $7.50 off the regular price. It was marked down 15%. A student used the equation:

15(7.5) = Original price

and found the regular price of the camera to be $112.50.

Explain the error(s) in the student’s work.

Answers

Answer:

The original price is $50. The student's mistake in the equation is that he should have done 7.5/0.15

The student should not have multiplied, instead divided. He also didn't put 15 in a decimal form, which would have messed the whole equation up.

Answer:

The student should have divided the discounted amount by the percent. The percent should have been written as a decimal.

Step-by-step explanation:

that is what it says in the simple reponse

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