A manager of a telemarketing firm is trying to increase his employees' productivity. The table shown indicates the number of months the employees have been working and the number of calls they successfully complete with customers per day.
a. Construct a scatter plot of the data.
b. Based on the shape of the scatter plot, is a linear regression appropriate? What type of correlation appears to be present?
c. W rite a function c(m) to represent the line of best fit. Then interpret the function in terms of the problem situation.
d. Compute and interpret the correlation coefficient.
e. Calculate the residuals for the data and create a residual plot of the data.
f. Based on the residual plot, is a linear model appropriate for the data? Explain your reasoning.
g. Should the manager use a linear regression equation to predict how many successful calls an employee will make if they have been employed for 36 months? Explain your reasoning.

Answer:

14

Step-by-step explanation:

42=3p

42/3=3p/3

14=p

Answer:

m<N = 32°

m(NQ) = 106°

Step-by-step explanation:

Inscribed angle = ½ of the measure of the intercepted arc (inscribed angle theorem)

<N is an inscribed angle

It's intercepted arc = arc MP = 64°

Therefore,

m<N = ½(64°)

m<N = 32°

m<P = ½(m(NQ)) (inscribed angle theorem)

53° = ½(m(NQ))

Multiply both sides by 2

2*53° = m(NQ)

106° = m(NQ)

m(NQ) = 106°

Mean- 26.222222222222

Median- 26

Mode- 24

Range- 7

Hope this helped :D

Answer:

depends on the cases. they all have different uses

Answer:

508sq. cm

Step-by-step explanation:

surface area of a prism = 2(lw + wh + lh)

For the larger prism

Surface area = 2(2*10 + 2 * 12 * 10*12)

Surface area = 2(20+24+120)

Surface area = 2(164)

Surface area = 328sq.cm

For the smaller prism

Surface area = 2(3*6 + 3 * 8 * 6*8)

Surface area = 2(18+24+48)

Surface area = 2(90)

Surface area = 180 sq.cm

Surface area of the figure = 328 + 180

Surface area of the figure = 508sq. cm

Answer: -1.5

Step-by-step explanation:

took the test

The z-score of a bag of almonds weighing 12.2 ounces will be negative 1.5.

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

A machine packages bags of almonds.

The weights of the bags are normally distributed with a mean of 14 ounces and a standard deviation of 1.2 ounces.

Then the z-score of a bag of almonds weighing 12.2 ounces will be

z-score = (x - mean) / SD

z-score = (12.2 - 14) / 1.2

z-score = -1.8 / 1.2

z-score = -1.5

More about the normal distribution link is given below.

https://brainly.com/question/12421652

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Answer:

0.012, 1/12 , 6% , 1/6

Step-by-step explanation:

To put these numbers in order, you need to first put them in the same form. Let's turn them all into decimal form.

* To put fractions in decimal form you need to divide the numerator into the denominator.

* To put a percent into a fraction you need to understand that this percent is out of 100. ex: 6% = 6/100 , 3% = 3/100 11% = 11/100. so in order to put the new fraction into a decimal, you put it in the correct decimal place. This is wrong 6/100 = .60 this reads 6 tenths so we need to go over a decimal place.

This is correct 6/100 = .06 This is 6 tenths.

So let's go through:                                             _

   1 divided by 6 equals                                  0.16

   6% is equal to                                               .06

   0.012 is already in decimal form               0.012      _

 1 divided by 12 equals                                         0.083

 #Always remember you have to put the numbers in the original form that they were given.

# Also the more decimal places a number has behind the decimal the less the number

               Ex:  0.012 > 0.011 Even though these have the same decimal place 0.012 is greater because it's a greater number.

0.12 > 0.012

Answer:

do you need a graph of it or it just multiplied out step by step?

Answer:

3x^4-24x^3+72x^2-96x+48

Step-by-step explanation:

1. (x-2)^4

=(x-2)(x-2)(x-2)(x-2)

=x^4-8x^3+24x^2-32x+16

2. 3(x^4-8x^3+24x^2-32x+16)

=3x^4-24x^3+72x^2-96x+48

Answer:

I think B .......................................

Answer:

the answer is 6

Step-by-step explanation:

slope = m

y = mx + c

m = 6

Answer: were is your qustion at

plz make brainly

Step-by-step explanation:

Answer:

©

[tex]( {5}^{4} . { {b}^{ - 10}) }^{ - 6} = ( {5}^{4. - 6} ).( {b}^{ - 10. - 6} ) \\ = {5}^{ - 24} . {b}^{ 60} \\ = \frac{ {b}^{60} }{ {5}^{24} } [/tex]

Answer:

25

Step-by-step explanation:

as you can see test a is further away from the ruler you have to put it at 0 so that you can get your answer I am not sure if it's correct or not

Answer:

Step-by-step explanation:

Answer:yˆ=−0.175x2−3.786x+121.119

look at picture

Step-by-step explanation:

The quadratic regression equation for the data set is:

y^ = -0.175x²-3.786x+121.119

Quadratic regression is the process of determining the equation of a parabola that best fits a set of data. This set of data is a given set of graph points that make up the shape of a parabola. The equation of the parabola is y = ax² + bx + c, where a can never equal zero.

According to the given problem,

Let us choose any value of x,

x = 10

For this value of x we can see that the respective value of y= 50

Substituting the value of x in the equations to see which equation satisfies the value of y as 50.

Substituting the value of x in the equation:

y^ = -0.175x²-3.786x+121.119

y^ = 50

Hence, we can conclude that y^ = 0.175x² - 3.786 + 121.119 is the quadratic regression equation for the given data set.

Learn more about Quadratic Linear Equations here:

https://brainly.com/question/24639881

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Answer:

the third option, "what number, when added to negative four, is equal to negative five?"

Step-by-step explanation:

"what number, when added to negative four, is equal to negative five?" can be expressed as g + (- 4) = - 5, which is the same as in the equation.

i hope this helps! :D comment if you need any clarification.

Answer:

the equation is x-6

pls mark me as brainliest

Answer: I think it would be 7:5 because half of 14=7 and half of 10=5. by the way, are you good at algebra II by any chance? if so can you help me out in return for me helping you out please?

Answer:

124°

Step-by-step explanation:

measure of arc DC = 44 because the measure of central angle equals the measure of its arc.

measure of arc CB = 80 because the measure of central angle equals the measure of its arc.

measure of arc DC = measure of arc DC + measure of arc CB

                                = 44 + 80 = 124°

Answer:

-(m-4)(b-3)

Step-by-step explanation:

Add and subtract the second term to the expression and factor by grouping

Answer:

(m-4) (3-b)

Step-by-step explanation:

See the steps below:)

Answer:

I'm pretty sure it is the second one because > means it won't be filled in and it means greater than so greater than 2

Answer:

4/18 is equivalent to 2/9

Answer:

A

Step-by-step explanation:

120 is the starting value, aka the price of the painting in 2014 before it is increased.

Answer:

333.67

Step-by-step explanation:

trust

Answer:

-1/√2  

Step-by-step explanation:

According to trigonometry identity

cos(A+B) = cosAcosB - sinA sinB

Given the expression

(cos92°)(cos133°)-(sin92°)(sin133°)

This can be expressed as cos(92+133) where A = 92, B = 133

(cos92°)(cos133°)-(sin92°)(sin133°)

= cos(92+133)

= cos225

= -0.7071

= -1/√2

Hence the exact value is  -1/√2  

Answer:

[tex]h(-6) = -\frac{1}{5}[/tex]

Step-by-step explanation:

Given

[tex]h(x) =\left[\begin{array}{cc}8 + 6x\ \ &x < -7\\\frac{x + 4}{10} &-7 \le x <-5 \\4x - 3\ &x \ge -5\end{array}\right[/tex]

Required

Determine h(-6)

To do this, we make use of:

[tex]h(x) = \frac{x + 4}{10}[/tex]

Because [tex]-7 \le -6 <-5[/tex]

So, we have:

[tex]h(x) = \frac{x + 4}{10}[/tex]

[tex]h(-6) = \frac{-6 + 4}{10}[/tex]

[tex]h(-6) = \frac{-2}{10}[/tex]

Simplify

[tex]h(-6) = -\frac{1}{5}[/tex]

Answer:

480

please mark brainliest

The required equation will be y ≤ 1/3 x - 4

The standard form of a linear equation is y = mx + b

Using the coordinate points (0, -4) and (3, -3)

m = -3+4/3-0

m = 1/3

Since the line cross the y-axis at y = -4, henc b = -4

Get the required equation;

y = mx + b

y = 1/3x - 4

Since the line is solid and shaded below, hence the required equation will be y ≤ 1/3 x - 4

Learn more inequality here: https://brainly.com/question/11613554

Answer:

Option one (x-2)(x-3)

Step-by-step explanation:

We have x²-5x+6 =0

X²-3x-2x+6=0

X(x-3)-2(x-3)=0

(x-2)(x-3)=0