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:
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)
Related Questions
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
Question is on the screenshot
Answers
V= πr^2 h
V= π(5)^2 (6)
V= 150π
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 ft²learn 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:
What is the complementary number of 16
I
Answers
Answer:
2
Step-by-step explanation:
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
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.
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
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.
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)
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!
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
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:
Which graph shows the point (-2, 3)?
A.
B.
C.
D.
Answers
Multiply 12x2y4z(-4x3y6z2)
Answers
Answer:
[tex]-48x^5 y^{10} z^3[/tex] should be the answer
Step-by-step explanation:
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
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
I need help with this problem-
Answers
Answer:
wat
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
353 pictures times 0.29 per picture=102.37
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.
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.
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.
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]
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
Which function has a greater Y intercept
Answers
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
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.
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
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!!!
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: