The data below show the hourly wages earned by six employees. The second column shows the number of years of work experience for each employee. The third column is a binary variable indicating whether or not the employee has completed a training program. For the following questions, you may check your work using a calculator but must show how you set up the expression you are using (i.e. show your work).
wage experience training
8 1 0
20 10 0
10 2 0
12 4 0
16 4 1
14 6 1
a) What are the mean, variance, and standard deviation of wages?
b) What is the mean, variance, and standard deviation of experience?
c) Draw a scatter plot with experience on the horizontal axis and wages on the vertical axis. Draw a straight line that best fits the data points. Based on this line, what is the approximate wage of someone with 0 years of experience?
d) What is the covariance of wages and experience? Is this consistent with the line you drew in part c)? Explain.
e) What is the correlation of wages and experience?

Answers

Answer 1

The approximate wage of someone with 0 years of experience is -4.64

a) What are the mean, variance, and standard deviation of wages?

The dataset of wages is

Wages = 8, 20, 10, 12, 16, 14

The mean is calculated as:

Mean = Sum/Count

This gives

Mean = (8+ 20+ 10+ 12+ 16+ 14)/6

Mean = 13.33

The variance is

Variance = ∑(x- mean)²/n-1

This gives

Variance = [(8 - 13.33)^2 + (20 - 13.33)^2 + (10 - 13.33)^2 + (12 - 13.33)^2 + (16 - 13.33)^2 + (14 - 13.33)^2]/5

Evaluate

Variance = 18.67

The standard deviation is

Standard deviation = √Variance

This gives

Standard deviation = √18.67

Evaluate

Standard deviation = 4.32

b) What is the mean, variance, and standard deviation of experience?

The dataset of experience is

Wages = 1, 10, 2, 4, 4, 6

The mean is calculated as:

Mean = Sum/Count

This gives

Mean = (1+ 10+ 2+ 4+ 4+ 6)/6

Mean = 4.5

The variance is

Variance = ∑(x- mean)²/n-1

This gives

Variance = [(1 - 4.5)^2 + (10 - 4.5)^2 + (2 - 4.5)^2 + (4 - 4.5)^2 + (4 - 4.5)^2 + (6 - 4.5)^2]/5

Evaluate

Variance = 10.3

The standard deviation is

Standard deviation = √Variance

This gives

Standard deviation = √10.3

Evaluate

Standard deviation = 3.21

c) Draw a scatter plot with experience on the horizontal axis and wages on the vertical axis.

See attachment for the scatter plot and the straight line that best fits the data points.

The equation of the straight line is

y = 0.69x - 4.64

The approximate wage of someone with 0 years of experience is

y = 0.69 * 0 - 4.64

Evaluate

y = -4.64

Hence, the approximate wage of someone with 0 years of experience is -4.64

d) What is the covariance of wages and experience?

This is calculated as:

Cov(x,y) = ∑(x - x mean)(y - y mean)/N - 1

So, we have:

Cov(x,y) = [(8 - 13.33) * (1 - 4.5) + (20 - 13.33)*(10 - 4.5) + (10 - 13.33)*(2 - 4.5) + (12 - 13.33)*(4 - 4.5) + (16 - 13.33)*(4 - 4.5) + (14 - 13.33)*(6 - 4.5)]/5

Evaluate

Cov(x,y) = 12.80

Hence, the covariance of wages and experience is 12.80

Is this consistent with the line you drew in part c?

Yes it is

e) What is the correlation of wages and experience?

Here, we use a graphing calculator.

From the graphing calculator, we have:

r = 0.9231

Hence, the correlation of wages and experience is 0.9231


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The Data Below Show The Hourly Wages Earned By Six Employees. The Second Column Shows The Number Of Years

Related Questions

Which point is located at (2,3)

Answers

Answer:

Point C

Step-by-step explanation:

Points are read as (x, y).

This means that 2 = x and y = 3.

X is the bottom line, whilst Y is the line going up.

Student A's scores have a standard deviation of 5.4 and Student B's scores have a standard deviation of 10.6. What does Student B's higher standard deviation mean of his/her test scores?

Answers

Answer:

Student B's score has a greater variation from the mean than student A's score

Step-by-step explanation:

Student A : standard deviation = 5.4

Student B : standard deviation = 10.6

The standard deviation is used to measure the degree of variability of a measured value from the mean or average value of the set. The higher the value of standard deviation, the greater the variabilityabiut the mean. Hence for the question given above, Student B's score varies greatly from the mean Than student A's score.

what 2/5(10x + 3/4) - 2x? ​

Answers

Answer:

2x + 3/10

Step-by-step explanation:

2/5 (10x + 3/4) - 2x = 4x + 3/10 - 2x = 2x + 3/10

Find the circumference. Use 3.14 for pi. ​

Answers

Answer:

62.8

Step-by-step explanation:

3.14 x 20 = 62.8

Its about 62.83

2π x radius

radius - 10 ( Half the Diameter )


Factor out
the GCF
56x^2? + 16x + 64

Answers

I’m not 100% sure but I think it’s 4 for the gcf

PLEASE HELP ASAP! WILL MARK BRAINIST! PLEASE PLEASE

Answers

Answer:

Step-by-step explanation:

its c

I believe it is A I am not positive because I am not good at math

A hotel provides discounts to area attractions for people
attending conventions, hoping this will encourage them to
bring their families. The hotel wants to see if the marketing
campaign was successful.
Which of these methods will produce the most representative sample of the
population of convention participants?
A. The hotel surveys all the convention visitors who eat at their hotel,
B. Surveyors stand outside local attractions and ask arriving guests if
any member of their family is in town for a convention,
C. Surveyors stand beside one of the booths during a convention and
ask the people who visit the booth if they brought their families.
D. The hotelsends an email to a random selection of people who
have been registered as convention participants during the past
six months

Answers

Answer:

I'm not to sure but I think A. or D. I'm so sorry if I'm wrong

The most representative sample of the population of convention participants is:

B. Surveyors stand outside local attractions and ask arriving guests if

any member of their family is in town for a convention,

A hotel provides discounts to area attractions for people attending conventions, hoping this will encourage them to bring their families. The hotel wants to see if the marketing campaign was successful.

B. Surveyors stand outside local attractions and ask arriving guests if

any member of their family is in town for a convention,

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Help asap!
a baker Has 88 muffins he fills large boxes that hold 9 muffins each then he puts the leftover muffins in a small box how many muffins are in the small box

Answers

Answer:

7

Step-by-step explanation:

9*9=81

81+7=88

Answer:

7

Step-by-step explanation:

88 / 9 = ?

9 x 9 = 81

88 - 81 = 7

7/9

88 / 9 = 9 7/9

9 is in the large box

7 in the small box

Help me please answer thanks

Answers

Answer:

all of them are right, there's no wrong answer.

Step-by-step explanation:

all answers are x = 20,

A person places $103 in an investment account earning an annual rate of 1.9%, compounded continuously. Using the formula V = P e r t V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 6 years.

Answers

Answer:

$115.36

Step-by-step explanation:

Given data

P=$103

r=1.9%

t= 6 years

The expression for the amount is given as

[tex]V = P e ^{r t}[/tex]

substitute

[tex]V = 103*e^{0.019 *6}[/tex]

[tex]V = 103*e^{0.114}\\\\V = 103*1.120\\\\V = 115.36\\\\[/tex]

Hence the final amount is $115.36

Graph the system of equations, and determine
the solution.

X + 2y = 6
2x + 4y = 4

Answers

Answer:

X + 2y = 6

first point : ( 0,3 )

second point : ( 4,1 )

third point : ( 2,2 )

forth point : ( 6,0 )

2x + 4y = 4

first point : ( 0,1 )

second point : ( 2,0 )

third point : ( -2,2 )

forth point : ( -4,3 )

What is the least common multiple of 36 and 90?

Answers

Answer:

180

Step-by-step explanation:

36, 72, 108, 144, 180

90, 180

Have a great day!

Stay safe!

Bye!

<3

a square has side length 95 what is the length of the diagonal of the square express your asnser in simplest radical form

Answers

Answer

134.35

Step by step explanation

95+39.35

=134.35

Answer:

95(sq rt 2)

Step-by-step explanation:

Pythagorean theorem

95^2+95^=diagonal^2

diagonal^2=18050

95(sq rt 2)

For all parts of this question, use the function y + 2 = 3(x + 4)
Part A: Complete the x-y table:

Answers

i would start by simplifying the equation to get y by itself, you don't need to do this, but it makes it a little easier

y + 2 = 3 ( x + 4) distribute the 3 through the parenthesis

y + 2 = 3x + 12. subtract 2 from both sides

y = 3x +10

now to fill in the chart simply plug in the value of x to see what value of y it produces

y = 3(-2) +10

y = -6+10

y = 4

(-2,4)

y = 3(0) + 10

y = 0 + 10

y = 10

(0,10)

y = 3(2)+10

y = 6 + 10

y = 16

(2,16)

y = 3(4) + 10

y = 12 + 10

y = 22

(4,22)

8 squared + b squared= 17 squared find b

Answers

Answer:

b=15

Step-by-step explanation:

8²+b²=17²

b²=225

b=15

A person invests 3000 dollars in a bank. The bank pays 6% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 7700 dollars?

Answers

Answer:

16 years approx

Step-by-step explanation:

Given data

P=$3000

r= 6%

A= $7700

t= ??

The compound interest formula is

A= P(1+r)^t

Calculate time, solve for t

t = ln(A/P) / r

substitute

t= ln(7700/3000)/0.06

t= ln(2.566)/0.06

t= 0.942/0.06

t= 15.7

The time is 16 years approx

Admission to the carnival cost four dollars then each game cost $.50 if Kalen can spend no more than $10 how many games can she play

Answers

Answer:

12

Step-by-step explanation:

10-4=6

6÷0.50 = 12

please help i dont understand this problem

Answers

y=x+5

Step-by-step explanation:

The opposite of y is x axis

Which line is parallel to y=2x-3?


A. y=-2x+4


B. y=2x+4


C. y=1/2x+4


D. y= - 1/2x+4

Answers

The answer is B I believe!

Which property is illustrated by the following statement?
AJAR= AJAR
A
J
R
A. Transitive
OB. Associative
O C. Reflexive
D. Symmetric


Answers

Answer: Reflexive

Step-by-step explanation:

The property that illustrated by the following statement is D.  Symmetric

What is reflexive property of congruence?

The reflexive property of congruence says that the considered geometric quantity, whether it be angle, line segment, or shape etc, is congruent to itself.

The symmetric property of congruence says, for objects A and B,

 if A ≅ B, then B ≅ A.

The symmetric property of congruence makes the  statement true:

 if ΔHXA ≅ ΔRGI, then ΔRGI ≅ ΔHXA

Here properties:

 Reflexive -- an object is congruent to itself: ΔHXA ≅ ΔHXA

 Commutative , the operations allow the order of their operands to be reversed: A +B = B +A for addition; AB = BA (for scalar multiplication)

 Transitive -- if A ≅ B and B ≅ C, then A ≅ C.

Learn more about the Symmetric

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What is the pattern for valence electrons on the periodic table?

Answers

Answer:

In general, the number of valence electrons is the same within a column and increases from left to right within a row. Group 1 elements have just one valence electron and group 18 elements have eight, except for helium, which has only two electrons total.

Step-by-step explanation:

Hey answer this those who know?​

Answers

Answer:

do like this i think answer is correct

If 23% of is 46, then what is the value of ?​

Answers

Answer:

10.58

Step-by-step explanation:

the percentage multiplier is 0.23

so do 46 x0.23 = 10.58

Could someone please help me with this

Answers

The first number is 3 and the second is 18

help me will mark as brainliest can someone give me the answer of both or atleast one​

Answers

Answer:

8. the length is 88/5cm or 17.6cm

Step-by-step explanation:

8.perimeter =2L + 2W

when you convert the width 42/5 = 8.4

so 52 = 2L + 2*8.4

52= 2L + 16.8

52 - 16.8 = 2L

35.2 = 2L

divide both sides by 2

L = 17.6cm

The vertices of a swimming pool are E(5, 5), F(5, 20), G(35, 20), and H(35, 5). The endpoints of a line that divides the pool into two sections are J(15, 5) and K(15, 20). The coordinates are measured in meters. What is the area of each section?

Answers

Answer:

Step-by-step explanation:

A sign in a bakery gives these options: Option A: 15 cupcakes for $30 Option B: 30 cupcakes for $56 Option C: 60 cupcakes for $100 1. Find each unit price to the nearest cent. 2. Which option is the best deal per cupcake and gives the lowest unit price?​

Answers

We’re looking for cost per cupcake.

Option A: 15 cupcakes for $30
$30 / 15 = $2 per cupcake

Option B: 30 cupcakes for $56
$56 / 30 = $1.86666 (round to $1.87) per cupcake

Option C: 60 cupcakes for $100
$100 / 60 = $1.66666 (round to $1.67) per cupcake

Option C is the lowest unit price, and best deal

helppppppppppppppppp

Answers

Answer:

16.

Step-by-step explanation:

What does 75% Off mean? It means 75% of the price is subtracted. So find 75% of 64.

Here is our equation: 75/100 x 64 = 48.

So 48 dollars is going to be subtracted from 64, which gives us 64-48=16.

So the price of the wedding cake during the sale is 16.

HELPPP 25 POIIIIINTSS.......​

Answers

Answer:

good luck, i hope this helps :)

A bicycle has a listed price of $706.95 before tax. If the sales tax rate is 9.75%, find the total cost of the bicycle with sales tax
included.
Round your answer to the nearest cent, as necessary.

Answers

Answer:

Step-by-step explanation:

we will calculate first the sales tax

706.95*(9.75/100)=68.93

706.95+68.93= $775.88

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