Mathematics College

If this analysis is based on 15 data pairs, what is the 95% confidence interval for the slope of the regression line?
A. (-2.28, 3.38)
B. (-2.243, .34)
C. (-6.09, 2.63)
D. (.375, .724)
E. (.3785, .7195)

Answers

Answer 1

Answer:

A. (-2.28, 3.38)

Step-by-step explanation:

The confidence interval of the slope :

b ± Tcritical*SE

Tcritical at 95%, df = n - 2 = (15 - 2) = 13

Tcritical = 2.160369

b = slope Coefficient = 0.54924

S.E = 1.311

Hence, we have :

Confidence interval = 0.54924 ± (2.160369 * 1.311)

Confidence interval = 0.54924 ± 2.832243759

Lower boundary = 0.54924 - 2.83224 = - 2.283

Upper boundary = 0.54924 + 2.83224 = 3.3814

The answer option is A. (-2.28, 3.38)

If This Analysis Is Based On 15 Data Pairs, What Is The 95% Confidence Interval For The Slope Of The

Related Questions

I need help with this problem-

Answers

Answer:

wat

Step-by-step explanation:

help me on this question

Answers

9514 1404 393

Answer:

  $4.71

Step-by-step explanation:

The cost of the Valencia oranges is ...

  (3/4 kg)($0.96 /kg) = $0.72

The cost of the navel oranges is ...

  (3 kg)($1.33 /kg) = $3.99

The cost of the purchase of the oranges is $0.72 +3.99 = $4.71.

Help please asp !!!

Answers

Answer:

a is the answrr

Step-by-step explanation:

they you a shout e e e e e e xh dhd jd dj

A cylinder with a volume of 25(pie), D.

the ratio of the measures of the angles in cat is 2:7:9. find the measure of the smallest angle.

Answers

Answer:

20º

Step-by-step explanation:

Total parts

2  + 7 + 9 = 18

Value of each part given 180º in a triangle

180 / 18 = 10º

Smallest angle

2 * 10 = 20º

Answer:

20

Step-by-step explanation:

Multiply each angle by x

2x: 7x: 9x

The sum of the angles in a triangle is 180

2x+7x+9x = 180

Combine like terms

18x = 180

Divide by 18

18x/18 = 180/18

x =10

The smallest angle is 2x

2x = 2(10) =20

Which function is graphed on the coordinate plane below?

Answers

Answer:

f(x) = 2x - 6

Step-by-step explanation:

positive slope = 2

y- intercept = -6

Answer:A

Step-by-step explanation:

Use the diagram to estimate the perimeter, rounding each number to the nearest hundred.

A parallelogram is shown. Two sides are labeled 5,534 feet. The other two sides are labeled 1,566 feet.


14,200 feet


16,000 feet


14,400 feet


14,000 feet

Answers

Answer:

14,000 feet.

Step-by-step explanation:

A parallelogram has 4 total sides and the opposite sides are characterized as having the same length. Therefore, If we are provided the lengths of two adjacent sides we can easily calculate the perimeter by multiplying these provided lengths by 2 and then adding them together. Since we are asked to round each number to the nearest hundred, it would be the following...

(5,500 * 2) + (1,500 * 2) = x

11,000 + 3000 = x

14,000 = x

Finally, we can estimate that the perimeter of the parallelogram is 14,000 feet.

Does memory change with age?
A researcher conducts an experiment to test whether memory changes with age. They recruited 24 participants separated into four age groups. The groups differ according to the age of subjects. In group 1, all participants are 30 years old; group 2, 40 years old; group 3, 50 years old; and group 4, 60 years old. Assume that the participants are all in good health and that the groups are matched on other important variables such as years of education, IQ, gender, motivation, and so on. Each participant is shown a series of nonsense syllables (a meaningless combination of three letters such as DAF or FUM) at a rate of one syllable every 4 seconds. The series is shown twice, after which participants are asked to write down as many of the syllables as they can remember. Below is number of syllables remembered by each participant:
30 years old 40 years old 50 years old 60 years old
14 12 17 13
13 15 14 10
15 16 14 17
17 11 9 8
12 12 13 16
10 18 15 9
Instructions:
Below are 5 different experiments descriptions and datasets. For this project you will have to decide the statistical analysis (correlation, regression, z test t-test, anova) appropriate for the experiment and conduct the analysis either using Jamovi and uploading a screenshot of the output, or by hand and showing your calculations.
You need to submit a docx or PDF file. For all the experiments and calculations assume normality and a=0.05. You need to respond to 4 out of the 5 experiments (25 points each). The response needs to have the following information:
• Experiment title.
• Hypotheses: both alternative and the null.
• Mean and standard deviation of each group.
• Clear indication of the hypothesis test being conducted and the obtained statistic.
• The results and conclusion.

Answers

Answer:

yes memory changes with age.

Step-by-step explanation:

Write the equation of the line that has the indicated slope and contains the indicated point. Express the final equation in standard form.
m = 1/2, (6, 9)

Answers

Answer:

[tex]x-2y=-12[/tex]

Step-by-step explanation:

Hi there!

1) Determine the equation of the line in slope-intercept form

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)

Plug in the slope [tex]\frac{1}{2}[/tex]

[tex]y=\frac{1}{2}x+b[/tex]

Plug in the given point (6,9) and solve for b

[tex]9=\frac{1}{2}(6)+b\\9=3+b[/tex]

Subtract 3 from both sides

[tex]9-3=3+b-3\\6=b[/tex]

Plug 6 back into [tex]y=\frac{1}{2}x+b[/tex]

[tex]y=\frac{1}{2}x+6[/tex]

2) Rearrange the equation into standard form

Standard form: [tex]Ax+By=C[/tex] where A, B and C are integers and A is typically positive

[tex]y=\frac{1}{2}x+6[/tex]

Multiply both sides by 2 to remove the fraction

[tex]2y=1x+12\\2y=x+12[/tex]

Subtract x from both sides to isolate 12 as C

[tex]2y-x=x+12-x\\2y-x=12\\-x+2y=12[/tex]

Multiply both sides by -1 to make A positive

[tex]x-2y=-12[/tex]

I hope this helps!

A sample of 25 undergraduates reported the following dollar amounts of entertainment expenses last year:

769 691 699 730 711 765 702 718 719 712 768 688 757 695 768 735 709 758 708 693 736 700 687 772 715

Required:
a. What are the range and standard deviation?
b. Use the Empirical Rule to establish an interval which includes about 95 percent of the observations.

Answers

Answer:

[tex]Range = 85[/tex]

[tex]\sigma = 28.71[/tex]

[tex]Interval = [666.78, 781.62][/tex]

Step-by-step explanation:

Given

The data for 25 undergraduates

Solving (a): Range and Standard deviation

The range is:

[tex]Range = Highest - Least[/tex]

From the dataset:

[tex]Highest = 772[/tex]

[tex]Least = 687[/tex]

So:

[tex]Range = Highest - Least[/tex]

[tex]Range = 772-687[/tex]

[tex]Range = 85[/tex]

The standard deviation is:

[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}[/tex]

First, calculate the mean

[tex]\bar x = \frac{769 +691 +............+715}{25}[/tex]

[tex]\bar x = \frac{18105}{25}[/tex]

[tex]\bar x = 724.2[/tex]

So, the standard deviation is:

[tex]\sigma = \sqrt{\frac{(769-724.2)^2 +(691-724.2)^2 +(699-724.2)^2 +(730-724.2)^2 +............+(715-724.2)^2}{25}}[/tex]

[tex]\sigma = \sqrt{\frac{20604}{25}}[/tex]

[tex]\sigma = \sqrt{824.16}[/tex]

[tex]\sigma = 28.71[/tex]

Solving (b): The interval of the 95% of the observation.

Using the emperical rule, we have:

[tex]Interval = [\bar x - 2*\sigma, \bar x+ 2*\sigma][/tex]

[tex]Interval = [724.2 - 2*28.71, 724.2 + 2*28.71][/tex]

[tex]Interval = [666.78, 781.62][/tex]

PLEASE HELPPPPP!!! WILL MARK BRAINLIEST!!

Answers

X = -1

This is because when you multiply 2 to the -1 power, it is negative because a positive times a negative is always negative. And 1/2 by the same -1 is -1/2

The is is -1 because for f(x) 2^-1 is .5 then subtract 1 from that is -.5 and for g(x) 1/2(-1) = -.5

which sequence is a geometric progression
a 2 4 6 8
b 1 1 2 3
c1 2 4 8
d1 3 5 7​

Answers

9514 1404 393

Answer:

  c  1, 2, 4, 8

Step-by-step explanation:

It can work well to look at the first differences.

  a: 4 -2 = 2; 6 -4 = 2 ⇒ differences are 2, 2, 2

  b: differences are 0, 1, 1

  c: differences are 1, 2, 4

  d: differences are 2, 2, 2

__

Sequences 'a' and 'd' have common differences that are constant. These are arithmetic sequences. Sequence 'b' is of no named type.

Sequence 'c' has first differences that have a common ratio, the same as the sequence itself. This is an indication the sequence is geometric. The ratios of values are 2/1 = 2; 4/2 = 2; 8/4 = 2, so the terms have a common ratio.

Sequence c is a geometric progression.

Which graph shows the point (-2, 3)?
A.
B.
C.
D.

Answers

You didn’t provide the graphs but here is where the point would be on the graph.

b) A car drives at a speed of 90kmth for 2 hours and 20 minutes
How far does the car onve?

Answers

Answer:

210 km

Step-by-step explanation:

90 * 2 is 180 (distance over 2 hours)

20 minutes is .333 hours, so 90*0.333 is about 30 km

and 180+30 is 210.

Answer:

210km

Step-by-step explanation:

2 hours=90km×2hr=180

20mins converted to a fraction is 0.333hr

90×0.333=29.97

Round 29.97 to 30

180+30

=210

Hope this helps u

Here u go hope it helps

A, B&C form the vertices of a triangle.
CAB = 90°, ABC = 70° and AC = 9.5.
Calculate the length of AB rounded to 3 SF.

Please help :)

Answers

Answer:

I think this is right hope you understand


A shipment of sugar fills 6 containers. If each container holds 3 3/4 tons of sugar, what is the amount of sugar in the entire shipment?
Write your answer as a mixed number in simplest form.

Answers

Answer:

7 6/7 tons.

Step-by-step explanation:

2 1/5 containers = 11/5 containers, written as an improper fraction. Each container holds 3 4/7 tons of sugar; this capacity is 25/7, written as an improper fraction.

The product of these two numbers is 55/7 tons, or 7 6/7 tons.

What is the complementary number of 16
I

Answers

Answer:

2

Step-by-step explanation:

Multiply 12x2y4z(-4x3y6z2)

Answers

Answer:

[tex]-48x^5 y^{10} z^3[/tex] should be the answer

Step-by-step explanation:

if the pictures cost .29 cents and you have 353 pictures how much would it could all together

Answers

Answer:

102.37

Step-by-step explanation:

.29*353=102.37

It would be $102.37

353 pictures times 0.29 per picture=102.37

Select the equation of a straight line that is parallel to the line 4y = 3x + 5

Answers

Answer:

One equation can be y = 3/4X +2

Step-by-step explanation:

Any equation that has a slope of 3/4 will be parallel to the line 4Y = 3X + 5 because the slope is the same. This can also be shown visually using any graphing calculator.

A line intersects the point (3,4) and has a slope of -2. Substitute the values into point-slope form.

Answers

9514 1404 393

Answer:

  y -4 = -2(x -3)

Step-by-step explanation:

The point-slope form of an equation for a line through point (h, k) with slope m is ...

  y -k = m(x -h)

You have (h, k) = (3, 4) and m = -2, so your equation is ...

  y -4 = -2(x -3)

Which function has a greater Y intercept

Answers

Hey I dunno but I really need a ANSER for one of my things so sorry TrueType

What is the area of the triangle

Answers

Answer:

60m^2 is the answer im pretty sure

Step-by-step explanation:

yeah man thats it

PLEASE ANSWER!! Solve for angle Z using the Sine Law. Round to the nearest degree.

Answers

Answer:

Z = 51º

Step-by-step explanation:

sinZ/12.5 = sin76/15.5

multiply both sides by 12.5

sinZ = sin76/15.5 * 12.5

Use calculator

sinZ = 0.782496553448384

Z = arcsin 0.782496553448384

Use calculator again

Z = 51.48972926377471º

Rounded

Z = 51º

this zigzag crystal vase has a height of 10 inches. The cross sections parallel to the base are always rectangles that are 6 inches by 3 inches long.

If we assume the crystal itself has no thickness, what would be the volume of the vase? ​NO LINKS!!!

Answers

9514 1404 393

Answer:

  180 in³

Step-by-step explanation:

  V = Bh

  V = (6 in × 3 in)(10 in) = 180 in³

The volume is the product of the cross section area (6 in × 3 in) = 18 in² and the height perpendicular to that cross section, 10 in.

What is the solution to the system of equations below?
y=-3x+9 and y-ſx-12
(21, 2)
(21, -10)
(-21, 16)
(-21, -26)


Answers

I tried every combination. there seems to be something wrong with the informations you gave.

the second equation contains errors, and none of these 4 points can be solutions to the first equation alone

Question is on the screenshot

Answers

Answer: V= 150π

V= πr^2 h
V= π(5)^2 (6)
V= 150π
Approximately y=2.94

a fuel mixture consists of 3 parts oil and 11 parts gasoline. the oil costs $0.75 per liter, and the gasoline costs $1.60 per liter. a mechanic makes 392 liters of the mixture. how much should he charge for 15% profit

Answers

Answer:

Total selling price= $663.82

Selling price per liter= $1.69

Step-by-step explanation:

Giving the following information:

Proportion of oil and gasoline:

Oil= 3/14= 0.21

Gasoline= 11/14= 0.79

The oil costs $0.75 per liter.

The gasoline costs $1.60 per liter.

First, we need to calculate the number of liters of oil and gasoline required:

Oil= 0.21*392= 82.32 liters

Gasoline= 0.79*392= 309.68

Now, the total cost to produce 392 liters:

Total cost= 82.32*0.75 + 309.68*1.6

Total cost= $577.23

Finally, the total and unitary selling price:

Total selling price= 577.23*1.15= $663.82

Selling price per liter= 663.82 / 392= $1.69

NO LINKS!!!

Change the standard form equation to vertex form and compare the function to the parent function y = x^2.

1. y = x^2 - 2x - 2

Answers

Completing the square gives

[tex]x^2-2x-2=(x-1)^2-3[/tex]

and comparing to [tex]y=x^2[/tex], the graph of [tex]y=x^2-2x-2[/tex] would be a horizontal shift to the right by 1 unit, and a vertical shift down by 3 units.

Hope this help!!!

Have a nice day!!!

Help!!!

Given a room is 12 feet by 10 feet and we have a circular rug with a radius of 3 feet,
calculate the amount of floor left uncovered by the circular area rug in a rectangular
living room.

Answers

Answer:

Step-by-step explanation:

floor = 12*10 = 120 sq ft

rug = π[tex]r^{2}[/tex] = 9π

120-9π = 91.74 sq ft

The amount of floor left uncovered by the circular area rug in a rectangular living room is 91.74 ft²

What is Area?

Area is the space occupied by a 2 dimensional figure.

The room is rectangular and its 12 ft by 10 ft. Therefore,

area of the room = lw

where

l = length

w = width

area of the room = 12 × 10 = 120 ft²

The rug is circular and its use to cover the room. Therefore,

area of rug = πr²

where

r = 3 ft

Therefore,

area of rug = 3.14 × 3² = 28.26 ft²

The amount of floor left uncovered by the circular area rug in a rectangular living room can be calculated as follows:

area uncovered = 120 - 28.6 = 91.74 ft²

learn more on area here; https://brainly.com/question/1389611

A group of coins is shown below. What is the probability of drawing each type of coin?​

Answers

Answer:

likely

Step-by-step explanation:

Other Questions
The decision to draft the Declaration of Independence was mostinfluenced by which of these developments?Colonists increasingly viewed themselves as Americans rather than asBritish subjectsColonists increasingly called for the British military to aid rebellions inHaiti and France.Colonists increasingly questioned any philosophy that did not originate inthe AmericasColonists increasingly demanded equal political rights for women andAmerican Indians solving system by substitution Hellpp and thanks!! Solve for j-1/3 = j/4 - 10/3 Seating reads 1/12 part of a book in a day. If there are 360 pages in a book, how many pages does swati read in a day? The chemical reaction 2 H2 +O2 2 H20 is a:a. synthesis reactionb. decomposition reactionc. single displacement reactiond. double displacement reactione. combustion reaction Whats the line of y= -1/2x+2 What is the remainder of 26 divided by 53.3WILL GIVE BRAINLIEST 2 ways why people use social Media platform to abuse and violate human rights There is a bag filled with 5 blue and 6 red marbles.A marble is taken at random from the bag, the colour is noted and then it is replaced.Another marble is taken at random.What is the probability of getting 2 blues? (hegarty maths)) What are impacts of urbanization on land use in Ghana? Hydrogen carried in light phase Solve for n.56 = -4nA: 224B: -14C: 60D: -4 describe how the graph of each function is related to the graph of f(x)=x^2 g(x)= -10 + x^2 A sign has 3 identical parallelogram-shaped stripes as shown. Charles mustoutline each stripe with reflective tape. Is one roll of 86 inches of tape enough tofinish the job? Explain. how did the bill and melinda gates foundation helped with climate change ? Find the measure of a central angle of a regular polygon with 10 sides. Round your answer to the nearest tenth of a degree, if necessary. Amino acids buildA. proteinsB. monomersC. nucleic acids Find the perimeter of this problem Which option identifies the next step Kristin should take to test the design in the following scenario?During the design process, Kristin determined that her new automatic-loading pencil sharpener is ready to be tested. She is still concerned that there may need to be some changes before the prototype is created.She should create a prototype that is flexible enough to make changes to if needed.She should create a two-dimensional sketch to ensure she has not missed any information.She should make any changes she feels are necessary before designing a model.She should create a model using cutting-edge technology programs.