A large national bank charges local companies for using their services. A bank official reported the results of a regression analysis designed to predict the bank's charges (Y)—measured in dollars per month—for services rendered to local companies. One independent variable used to predict the service charge to a company is the company's sales revenue (X)—measured in millions of dollars. Data for 21 companies who use the bank's services were used to fit the model:
E(Y) = ß0 + ß1X
The results of the simple linear regression are provided below.
= -2,700 + 20X, SYX = 65, two-tailed p value = 0.034 (for testing ß1)
Referring to Table 13-1, interpret the p value for testing whetherß1 exceeds 0.
A) For every $1 million increase in sales revenue, we expect a service charge to increase $0.034.
B) Sales revenue (X) is a poor predictor of service charge (Y).
C) There is sufficient evidence (at the a = 0.05) to conclude that sales revenue (X) is a useful linear predictor of service charge (Y).
D) There is insufficient evidence (at the a = 0.10) to conclude that sales revenue (X) is a useful linear predictor of service charge (Y).

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Answer 2

Rejecting H₀, there is sufficient evidence (at the α = 0.05) to conclude that sales revenue (X) is a useful linear predictor of service charge (Y).

What is the hypothesis?

In statistics, hypothesis testing is the process by which an analyst tests an assumption about a population's parameter. Using sample data, hypothesis testing is performed to examine the plausibility of a theory.

The p-value for testing whether ß1 exceeds 0 is the probability of observing a test statistic as extreme as the one that was actually observed, assuming that the null hypothesis is true. In this case, the null hypothesis is that ß1 does not exceed 0, and the alternative hypothesis is that ß1 does exceed 0.

Since the p-value is 0.034, which is less than the significance level of 0.05, this means that there is sufficient evidence to reject the null hypothesis H₀ and conclude that ß1 does indeed exceed 0. In other words, there is sufficient evidence to conclude that sales revenue (X) is a useful linear predictor of service charge (Y).

Therefore, the correct answer is (C) "There is sufficient evidence (at the a = 0.05) to conclude that sales revenue (X) is a useful linear predictor of service charge (Y)."

To learn more about the hypothesis here:

https://brainly.com/question/18064632

#SPJ5


Related Questions

Find the measure of the angle, round to the nearest tenth: Sin X = .7547

Answers

SIN(x) = .7547
X = INVERSE-SIN(.7547)
X = 49.0 degrees

Shelby is in a hot air balloon where the balloon is shaped like a sphere with a diameter of 50 ft find the amount of space occupied by the balloon use 3.14 for pie and round your answer to the nearest tenth

Answers

Answer:

50ft x 3.14 = 157ft

Step-by-step explanation:

It's asking for the circumference.

circumference formula: [tex]C = 2\pi r[/tex]

To give you a better idea of the concept:

To make it simple, in a circle, there is the radius, diameter, and then the circumference.

Radius: The distance half way across the circle (see attachment below).

Diameter: The distance across the circle (see attachment below).

Circumference: The distance around the circle (see attachment below).

As you see, the radius is only half way across, so 2 times the radius would give us the full distance across (diameter).

(But this doesn't matter for this question because it already gave you the diameter (50ft), this was only so I could maybe help you understand the concept a bit more).

Your question:

Alright, it's asking for the circumference; all you have to do is the diameter (50 ft) times pi (3.14).

[tex]50ft *3.14=157ft[/tex]

Hope this helped! :D

PYTHAGOREAN THEOREM !! DONT NEED U TO EXPLAIN JUST GIVE ANSWER DONT HAVE TIME FOR THAT !

Answers

Answer:

√14 or 3.74

Step-by-step explanation:

_________________

Answer:

√14 or 3.74

Step-by-step explanation:

x = 3.74

write the slope-intercept form of the equation for the line

Answers

Answer:

Step-by-step explanation:

(-5, 2), (5, -1)

(-1 - 2)/(5+5)= -3/10

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

y - 2 = -3/10x - 3/2

y - 4/2 = -3/10x - 3/2

y = -3/10x + 1/2

Pleaseeeee answerrrrrr

Answers

Answer:

x=90-35

=55 is the answer

Please help me

Find the circumference and the area of this shape

I'll give brainliest ​

Answers

Circumference = 7.5
Area = 176.7
: )^_^^ - ^^o^(*☻-☻*)

The diagram shows a cylindrical tank.
The radius is 30 cm and the height is 80 cm.

(a) Calculate the area of the base of the tank.

(b) Calculate the volume of the tank in litres.​

Answers

Step-by-step explanation:

a) A=π302=900π CM2 =2,827 CM 2

b) V=Ah=900=72000 π cm 3 = 226,195 cm3

Gretchen is refinishing her gazebo that is in the shape of a regular octagon. The length of one side is 3 feet and the apothem is 3.5 feet. What is the area that Gretchen will be refinishing? Need help fast

Answers

The area that Gretchen will be refinishing is 42 square feet.

What is a polygon?

A polygon is a closed more than two-sided and can be made up of a finite number of straight line segments and is a type of planar figure in geometry.

Each line of the polygonal circuit's segments is referred to as its edges or sides.

An octagon has 8 sides.

We know, Apothm is the distance from the center to its side.

We also know that an octagon can be divided into 8 similar triangles.

Therefore, The area of the octagon will be,

= 8×(1/2)×3×3.5 square feet.

= 4×10.5 square feet.

= 42 square feet.

learn more about polygons here :

https://brainly.com/question/24464711

#SPJ1

The output associated with an input of zero is known as the

Answers

Answer:

IO

Step-by-step explanation:

9514 1404 393

Answer:

  y-intercept

Step-by-step explanation:

If the function is graphed as ...

  y = f(x)

then y = f(0) is the y-intercept.

_____

Additional comment

Depending on the way the graph is created and labeled, any points or curve on the graph may cross the vertical axis at a point other than one that corresponds to an input of 0. In any event, it may not be called "y". It may be "sales" or "board feet" or "monkeys per acre". Then the name of the point may not be "y-intercept", but may be something else.

4) To estimate the height of your home, you measure its shadow. The shadow of your home is 5.5 feet.
The shadow of the 10 foot tree has a shadow of 2.5 feet. Find the height of your home. Show all work.

Answers

Answer:

1.375 ft

Step-by-step explanation:

10/2.5 = 4

5.5 / 4 = 1 1.5/4 = 1 3/8 = 1.375 ft

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

"Snoqualmie" is a name shared by a waterfall and a tribe of Native Americans. In a study of the cultural importance of the waterfall, two groups of the Snoqualmie tribe were randomly surveyed. One group consisted of Snoqualmie members living less than 25 miles from the waterfall. Another group consisted of Snoqualmie members living more than 25 miles from the waterfall. The researchers asked each member to rate the cultural importance of the waterfall as low, medium, or high. Data from the study are presented in the following table.

Members Living More Than 25 Miles from the Waterfall Members Living Less Than 25 Miles from the Waterfall Total
Low 25 17 42
Medium 8 21 29
High 5 12 17
Total 38 50 88

Required:
If the distributions of ratings are the same for those Snoqualmie members living less than 25 miles from the waterfall and those living more than 25 miles from the waterfall, what is equal to the expected count of members living less than 25 miles from the waterfall who rated the cultural importance as high?

Answers

Answer:

Expected count frequency= 17*50/88= 9.659

Step-by-step explanation:

             Members Living More            Members Living Less     Total

               Than 25 Miles                         Than 25 Miles

              from the Waterfall                from the Waterfall

Low                25                                          17                              42

Medium          8                                           21                              29

High               5                                            12                              17

Total             38                                            50                           88

We see that the total of the high row is 17 and the total of the members living less than 25 miles  from the waterfall is 50 .

So using the formula :

Expected count frequency= row total * column total/ grand total

                                         = 17*50/88= 9.659

All the expected frequencies can be found in a similar way and then compared to the observed frequency to test the chi square.

Find the measure of the arc or central angle indicated. Assume that lines which appear to be
diameters are actual diameters.

Answers

Answer:

25)

arcQR=60°

26)

arcUWY=240°

27)

arcSU=112°

28)

arcSR=310°

hope it helps

stay safe healthy and happy.

A teacher surveyed her class to find out how many texts the students send in a week. She created this box plot to show the data.

What is the value of the upper quartile?
85
150
130
65

Answers

Answer: 130
Explanation:

Which table represents a nonlinear function?

Answers

where’s the graph ?

Using elimination, what is the solution to the following system?
x+6y=32
-x-3y=-17

Answers

Answer:

x=2, y=5. (2, 5).

Step-by-step explanation:

x+6y=32

-x-3y=-17

---------------

3y=15

y=15/3

y=5

x+6(5)=32

x+30=32

x=32-30

x=2

Help with this please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

m∡A = 41.4°

m∡B = 48.6°

m∡C = 90°

a = 3[tex]\sqrt{7}[/tex]

b = 9

c = 12

Step-by-step explanation:

to find the length of side 'a' I used the Pythagorean Theorem to get:

a² + 9² = 12²

a² + 81 = 144

a² = 63

a = [tex]\sqrt{63}[/tex] which equals [tex]\sqrt{9}[/tex][tex]\sqrt{7}[/tex] which is 3[tex]\sqrt{7}[/tex]

to find m∡B I found the arcsin(B) = 9/12 to get 48.6

to find m∡A I subtracted the sum of 90 + 48.6 from 180°

The equation of the piecewise function f(x) is below. What is the value of f(-2)

Answers

f(-2)=3 !!!!!!!!!!!!!!!!!!!

Which of the following statements is true?

O 0.6 < 0.61 < 0.7
O 0.61 < 0.6 < 0.7
O 0.7 < 0.61 < 0.6
O 0.7 < 0.6 < 0.61

Answers

Answer: 0.06<0.61<0.7

Step-by-step explanation:

The numbers is 0.6< 0.61 <0.7.

It is required to find among the statements is true.

What is integer?

An integer is a whole number (not a fractional number) that can be positive, negative, or zero.

Given that:

0.7 is largest number among the given integer.

0.61 is 2nd largest number among the given integer.

0.6 is lowest number among the given integer.

∴0.6< 0.61 <0.7.

So, the numbers is 0.6< 0.61 <0.7.

Learn more about integer here:

https://brainly.com/question/23713984

#SPJ2

A stack of 14 cookies is 23.1 centimeters high. How thick is each cookie?

Answers

1.65cm

I searched it up

What is the surface of the triangluar prism shown below

Answers

Answer: 36 ft^2

Step-by-step explanation: 4x3/2=6. 6x2=12. 3x2=6. 4x2=8. 5x2=10. 12+8+6+10=36

We have considered a regression equation to predict life expectancy from percent of government expenditure on health care, using data for a sample of 50 countries in SampCountries. Using technology and this dataset, find a 95% prediction interval for each of the following situations.
(a) A country which puts only 3% of its expenditure into health care. Round your answers to one decimal place.
(b) A country which puts 10% of its expenditure into health care. Round your answers to two decimal places.
(c) A country which puts 50% of its expenditure into health care. Round your answers to two decimal places.
Country Health LifeExpectancy
Iceland 15.76 83.1
Kazakhstan 10.90 70.5
Lesotho 14.48 49.3
Uzbekistan 9.68 68.2
Peru 14.75 74.8
Iraq 5.99 69.5
Nicaragua 20.89 74.8
Zambia 12.57 58.1
Guinea-Bissau 7.79 54.3
Romania 12.17 74.5
United States 20.71 78.8
Sierra Leone 11.41 45.6
Malta 13.29 80.7
Luxembourg 13.64 81.8
Micronesia, Fed. Sts17.70 69.0
South Africa 14.02 56.7
Panama 12.79 77.6
Turkey 10.74 75.2
Nigeria 17.97 52.5
Hungary 10.23 75.3
Albania 9.85 77.5
Brunei Darussalam 7.42 78.6
Portugal 12.90 80.4
Comoros 7.55 60.9
Pakistan 4.73 66.6
Ethiopia 16.43 63.6
Belize 11.90 73.9
Sweden 14.98 81.7
Bulgaria 11.67 74.5
Botswana 8.75 47.4
Greece 11.66 80.6
Belarus 13.45 72.5
United Kingdom 16.18 81.0
Tunisia 13.33 73.6
Thailand 17.01 74.4
Croatia 12.67 77.1
Colombia 16.05 74.0
Samoa 17.00 73.3
Cuba 13.40 79.2
Guyana 13.87 66.2
South Sudan 4.00 55.2
Cote d'Ivoire 8.51 50.8
Burkina Faso 13.52 56.3
Malaysia 5.88 75.0
Australia 17.75 82.2
Indonesia 6.63 70.8
Kenya 5.85 61.7
Ireland 14.07 81.0
Grenada 9.56 72.7
Korea, Rep. 11.50 81.5

Answers

Answer:

(a) A country which puts only 3% of its expenditure into health care. = (41.8,85.2)

(b) A country which puts 10% of its expenditure into health care= (47.92,89.29)

(c) A country which puts 50% of its expenditure into health care= (63.33,132.17)

Explanation:

Country                              Health Life expectancy

1 Iceland                               15.76            83.1

2 Kazakhastan                       40.90   70.5

3 Lesotho                                 14.48 49.3

4 Uzbekistan                          9.68 68.2

5 Peru                                  14.75 74.8

6 Iraq                                          5.99 69.5

mb=1m (life expectancy - Health, data=d1)

new data1 = data. frame (Health = 3)

new data2 = data. frame (Health = 10)

new data3= data. frame (Health = 50)

Predict (mb,newdata1, interval= "prediction)

                fit                   owr                 upr

1            63.506          41.7298           85.2192

>Predict (mb,newdata2, interval = "prediction)\

                 fit                   owr                 upr

1            68.6062          47.9192           89.29321

>Predict (mb,newdata3, interval = "prediction)

                fit                   owr                 upr

1            97.750            63.3292         132.1713

(a) A country which puts only 3% of its expenditure into health care. = (41.8,85.2)

(b) A country which puts 10% of its expenditure into health care= (47.92,89.29)

(c) A country which puts 50% of its expenditure into health care= (63.33,132.17)  

YA
1. Here is a graph of y = p(x), represented
with a solid curve, and a set of data. Which
transformation of p best matches the set
of data?
13
pix)
14
3 A2 -
+
A. d(x) = P(x + 2) + 3
B. d(x) = P(x - 2) + 3
C. d(x) = P(x - 2) - 3
D. d(x) = P(x + 2) – 3
2. Which sequence of transformations takes the graph of y = k(x) to the graph of
y =-{k(x + 1)?
A. Translate 1 to the right, reflect over the x-axis, then scale vertically by a factor of
B. Translate 1 to the left, scale vertically by , then reflect over the x-axis.
C. Translate left by ž, then translate up 1.
D. Scale vertically by ž, reflect over the y-axis, then translate up 1.

Answers

Answer:

C.

Step-by-step explanation:

a) The equation of graph of the transformation of function is given by the relation d ( x ) = p ( x - 2 ) + 3

b) The sequence of transformation is translate 1 to the left, scale vertically by 1/2 , then reflect over the x-axis.

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the function be represented as p ( x )

Now , the value of p ( x ) is

d ( x ) = p ( x - 2 ) + 3

The function is shifted 2 units to the right and 3 units up do match all the data points on the graph

b)

Let the parent function be y = k ( x )

Let the transformed function be y = -( 1/2 ) k ( x + 1 )

So , the series of transformation is given by

Translating 1 unit to the left , scale vertically by 1/2 , then reflect over the x-axis.

Hence , the transformed function is y = -( 1/2 ) k ( x + 1 )

To learn more about transformation of functions click :

https://brainly.com/question/26896273

#SPJ2

need help with this question I would appreciate it.​

Answers

Answer:

[tex]\huge\boxed{x \geq \frac{10b}{b-a} }[/tex]

Step-by-step explanation:

[tex]\displaystyle b(x-3) \geq ax+7b\\\\bx -3b\geq ax+7b\\\\Subtract \ ax \ to \ both \ sides\\\\bx-ax-3b\geq 7b\\\\Add \ 3b \ to \ both \ sides\\\\bx-ax \geq 7b+3b\\\\x(b-a) \geq 10b\\\\Divide \ (b-a) \ to \ both \ sides\\\\x \geq \frac{10b}{b-a} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

54 kilometers equal – metres.​

Answers

[tex]\huge\mathfrak\blue{AnSwEr} [/tex]

[tex] \sf{54 \: km \: = 54000 \: meters}[/tex]

You roll 2 dice and flip a coin. What's the probability of getting two 4's and a tails?

Answers

Answer:

2/4

Step-by-step explanation:

(x^5-y^5) divided (x-y)
See in the picture I have done till here but can anyone tell me next step

Answers

Answer:

[tex]\frac{x^6-yx-y^5}{x}[/tex]

Step-by-step explanation:

x^5-y^5 divided x-y

[tex]\frac{(x^5-y)x}{x} -\frac{y^5}{x}[/tex]

[tex]\frac{(x^5-y)x-y^5}{x}[/tex]

=> [tex]\frac{x^6-yx-y^5}{x}[/tex]

Find the area of the shaded region.
150 degrees
7 cm
A =[?] cm2
Enter a decimal rounded to the nearest tenth.

Answers

Answer:

102.2

Step-by-step explanation:

Plz help me well mark brainliest if correct!

Answers

Answer:

The answer is B.

Step-by-step explanation:

The formula is Area = L x H

And remember perimiter is adding the legnth of all sides.

For A:

12 × 3 = 36

12 + 12 + 3 + 3 = 30

For B:

4 × 8 = 32

4 + 4 + 8 + 8 = 24

For C:

6 × 6 = 36

6 + 6 + 6 + 6 = 24

Hence, the answer is B, since B is the only one which meets the criteria.

30 POINTS

The results of a poll show that the percent of people who want a new restaurant is in the interval (62%, 88%). There are 109,482 people in the city. What is the interval for the number of people who are likely to want this restaurant in their city? Round to the nearest person. Enter your answer in the boxes.

Answers

Answer: (26996, 42744)

Step-by-step explanation: N/A

165 is what percent of 150 ?

Answers

Answer:

110%

Step-by-step explanation:

hope this helps......

Answer:

110%

Step-by-step explanation:

is / of = % / 100

165 / 150 = x / 100

cross-multiply:

150x = 16,500

x = 16,500 / 150

x =  110

Other Questions
The following data are taken from the financial statements of Bar Harbor Company: 2017 2016 Average accounts receivable $530,000 $550,000 Net sales on account 5,800,000 5,200,000 Terms for all sales are 2/10, n/30 a) Compute the accounts receivable for both years.b) Compute the average collection period for both years. Balance the chemical equation using the drop-down options.CaC2 +A H20 --->Ca(OH)2A C2H2 + Please help me on this question Teacher Materials**Include in final promotion portfolio**8525903010025Does the table show a proportional relationship? How do you know? Which of the following statements is FALSE?a.African Americans in the South were able to experience a brief period of opportunity and liberty while the Union Army occupied the region.b.Jim Crow was a negative term used by white Americans to refer to African Americans.c.Texas joined the rest of the Southern states in passing Black Codes.d.The Texas government fully supported the activities of the KKK and turned a blind eye to the violence the group spread throughout the state. Please select the best answer from the choices providedABCD .Who does Thoreau believe is to blame for the injustice? What does he believe people should do regarding the injustice in America? PLEASEEEE HELPPP I WILL MARK BRAINIEST Which event mentioned from the first four paragraphs of the article triggered this sentiment of the Chinese people? Which phrase in the passage includes a symbol?What does this symbol represent?What do the two lions Caesar mentions symbolize? Is there a app where it gives you all the answers to any questions? spill some tea hey! please help ill give brainliest what is 2067 pls help this is a math test so i nned a lot of help Holding all else constant a higher price for ski lift tickets would be expected to Mary bought 5/6 of a foot of blue ribbon and 2/3 of a foot of yellow ribbon. she used a combined total of 1/2 foot of ribbon to make bows. how much ribbon does she have left? What will be the end result for the taxpayer who filed his federal income taxreturn using the 1040EZ form shown below? 2. X 0 4 7 10 13 y -5 -5 -5 -5 -5 Domain: ______________________ Range: _______________________ Function? _______ what is the answer to -3/4-1/2 Please help me Solve: -y 34 Find the distance between the two points rounding to the nearest tenth (if necessary).(-6, 6) and (-3,3) 4. Which of the following best describes how the authordevelops the connection between success and failure in thearticle?O A The author establishes Michael Jordan as a successfulplayer due to long hours of practices and pure talent andskill.OB The author reports statistics from Michael Jordan'sbasketball record to prove he was both a success and afailure at the sport.O C The author highlights key events in Michael Jordan'sbasketball career to show how moments of failure orrejection pushed him harder.OD The author describes what happened at Michael Jordan'sjunior varsity games to show how he used missedopportunities to push him harder.