T/F: the coefficient of determination measures the variation in the dependent variable that is explained by the regression model.
Answers
True. The coefficient of determination (R²) measures the proportion of the variation in the dependent variable that is explained by the regression model.
In statistics, the coefficient of determination (denoted R² or r² and pronounced "R squared") is used in the context of statistical models whose main purpose is either the prediction of future results or the testing of hypotheses, on the basis of other related information.
It is also known as the multiple correlation coefficient or the multiple determination coefficient. It is the proportion of the variance in the dependent variable that is predictable from the independent variable(s).
In a simple regression model, this is the square of the correlation between the dependent variable and the single independent variable.
Hence, the given statement is True.
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Related Questions
A group of physical education majors was discussing the height of female runners and whether female runners tended to be tall, on the average. They decided to estimate the mean height of female runners. A sample of 12 runners showed a sample mean height of 65.80 inches and a sample standard deviation of 1.95 inches. Assume the population is approximately normal. Construct a 90% confidence interval for the mean of the population of female runners from which the 12 runners were selected.a) What is the left boundary of the confidence interval? Round your answers to two decimal placesb) What is the right boundary of the 90% confidence interval? Round your answers to two decimal places
Answers
Therefore, the 90% confidence interval for the mean height of the population of female runners is (64.77, 66.83) inches.
A confidence interval is a range of values that provides an estimate of the unknown population parameter with a certain level of confidence. The confidence level represents the percentage of times that the true population parameter will be contained within the interval, based on repeated sampling.
a) Using a t-distribution with 11 degrees of freedom (n-1), and a 90% confidence level, the t-value is 1.796.
The left boundary of the confidence interval is:
65.80 - (1.796 * (1.95 / √(12))) = 64.77 inches (rounded to two decimal places)
b) The right boundary of the confidence interval is:
65.80 + (1.796 * (1.95 / √(12))) = 66.83 inches (rounded to two decimal places)
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Help me solve this please
Answers
5x-13y+2 hope this helps []~(￣▽￣)~*
You decide to invest in government bonds to save money for your eventual wedding. You have an
initial investment of $7,000 and when you choose to invest for 14 years you get a 10% rate
of return. What will be the value of your investment at maturity?
y = a(1+r)²
Round off to the nearest whole number
(don't forget to change your rate to a decimal percentage)
Answers
The value of your investment at maturity at a 10% rate of return will be,
$8470.
What is compound interest?Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.
We know the formula for compound interest is,
A = P(1 + r/100)ⁿ.
Where, A = amount, P = principle, r = rate, and n = time in years.
Given, An initial investment of $7,000 and when you choose to invest for 14 years you get a 10% rate of return.
We know, 10% = 10/100 = 0.1.
Therefore, The value of your investment at maturity will be,
y = 7000(1 + 0.1)².
y = 7000(1.1)².
y = 7000×1.21.
y = 8470.
So, The value of the maturity will be $8470.
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Susan had four bags of candy, each weighing 6 ounces. Isabel had one bag of candy weighing 1 pounds. Which girl has the more candy in weight? Your work will justify your answer.
Answers
Susan has more candy in weight compared to Isabel.
To compare the candy weights between Susan and Isabel, we need to ensure that both weights are in the same unit of measurement. Let's convert Isabel's candy weight to ounces for a fair comparison.
Given:
Susan: 4 bags x 6 ounces/bag = 24 ounces
Isabel: 1 bag x 16 ounces/pound = 16 ounces
Now that both weights are in ounces, we can see that Susan has 24 ounces of candy, while Isabel has 16 ounces of candy. As a result, Susan is heavier on the candy scale than Isabel.
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PLEASE HELP LAST QUESTION MATH
Answers
9514 1404 393
Answer:
A = 48°B = 115°C = 115°D = 67°E = 48°Step-by-step explanation:
A and the angle marked 48° are vertical angles, hence congruent.
A = 48°
B is part of a linear pair with the angle marked 65°, so it is supplementary to that angle.
B = 115°
C is an alternate interior angle with angle B, so is congruent.
C = 115°
D is a vertical angle with the one marked 67°, so is congruent.
D = 67°
E is an alternate exterior angle with the one marked 48°, so is congruent. It is also a corresponding angle with A, so congruent to that as well.
E = 48°
HELP PLSSSS ILL REWARD BRAINLIEST!!!
Answers
Angles in a triangle add up to 180.
To find angle ACB:
180 - 83 - 47 = 50
So angle ACB = 50.
Angles on a straight line add up to 180 as well.
So to find angle BCD:
180 - 50 = 130
So angle BCD = 130, so the answer is D.
Solve the system of linear equations. 3x + 5y = −2 2x − y = 3 A) (1, 1) B) (−1, 1) C) (1, −1) D) (−1, −1)
Answers
Answer:
x = 1, y = -1 so C)
Step-by-step explanation:
Solve the following system:
{5 y + 3 x = -2 | (equation 1)
-y + 2 x = 3 | (equation 2)
Subtract 2/3 × (equation 1) from equation 2:
{3 x + 5 y = -2 | (equation 1)
0 x - (13 y)/3 = 13/3 | (equation 2)
Multiply equation 2 by 3/13:
{3 x + 5 y = -2 | (equation 1)
0 x - y = 1 | (equation 2)
Multiply equation 2 by -1:
{3 x + 5 y = -2 | (equation 1)
0 x + y = -1 | (equation 2)
Subtract 5 × (equation 2) from equation 1:
{3 x + 0 y = 3 | (equation 1)
0 x + y = -1 | (equation 2)
Divide equation 1 by 3:
{x + 0 y = 1 | (equation 1)
0 x + y = -1 | (equation 2)
Collect results:
Answer: {x = 1, y = -1
Find the absolute value of the complex number. i-5
Answers
Answer:
0
Step-by-step explanation:
what is 30 x 7 -10 + 5
Answers
Answer:
205
Step-by-step explanation:
30×7-10+5 = 210-10+5
= 200+5
= 205
Answer:
Use the PEMDAS method. it helps alot
What's the equation of a line that passes through (-4,-7) and (4,-1)
Answers
What's the equation of a line that passes through (-4,-7) and (4,-1)
Answer:
y=-x+3
Answer:
y = 3/4x - 4
Step-by-step explanation:
Slope:
m = (y₂ - y₁) / (x₂ - x₁)
= (-1 - (-7)) / (4 - (-4))
= 6 / 8
= 3/4
y-intercept:
y = mx + b
use the slope above and anyone of the given points to find b. Let's use (4, -1)
(-1) = 3/4(4) + b
-1 = 12/4 + b
- 1 = 3 + b
b = -4
Equation of a line:
y = mx + b
use the m and b from above to form the equation of a line.
y = 3/4x - 4
maria has $100 dollars to spend. she wants to buy a sweater for $30 and a pair of jeans for $42. she would like to spend the rest of her money on t-shirts that cost $4 each. how many can she buy?
Answers
Answer:
7 T-Shirts
Step-by-step explanation:
Given:
100 Dollar
30 = sweater
42 = Jeans
4 each = t-shirts
Solution:
30+42 = 72
100-72 = 28
28/4=7
Therefore she can buy 7 T-Shirts.
Answer:
7 shirts
Step-by-step explanation:
100 (total) - 30 (sweater) - 42 (jeans) = 28 (for shirts)
28 (money) / 4 (shirt cost) = 7 (shirts)
Assuming no tax and stuff, Maria should be able to by 7 shirts on top of her other items.
The teacher has listed 30 books as book report options. You must read 5. How many different sets of 5 books could you have chosen to read? (Stats question)
Answers
Answer:You can choose 6 different sets of 5 books to read.
Step-by-step explanation:All you need to do is do 30 divided by 5 and you get 6
Im pretty sure its permutation
30~5=6
Mr. Erwin has 70 books in his classroom library, and 35 of them are non-fiction. What percent of Mr. Erwin's books are non-fiction?
Pick the model that represents the problem.
What percent of Mr. Erwin's books are non-fiction?
Answers
Answer:
50%
Step-by-step explanation:
35/70 simplifies to 1/2 = 50%
Step-by-step explanation:
because 70/35 is 2. And if 70 books are 100%, the 35 would be 50%.
I need a answer fast thanks!
Answers
Answer:
Chart:
x y
-6 11
3 5
15 -3
-12 15
Step-by-step explanation:
The only things you can plug in are the domain {-12, -6, 3, 15}
Plug in the domain into equation to find y.
-6 :
y = -2/3 (-6) +7
y = +47
y=11
(-6,11)
3:
y = -2/3 (3) +7
y = -2 +7
y = 5
(3, 5)
15:
y = -2/3 (15) +7
y = -10 +7
y = -3
(15 , -3)
-12:
y = -2/3 (-12) +7
y = 8 + 7
y= 15
(-12,15)
Answer:
1) 11
2) 3
3) -3
4) -12
Step-by-step explanation:
eq(1):
\(y = \frac{-2}{3} x + 7\\\\y - 7 = \frac{-2}{3} x\\\\x = (y - 7)\frac{-3}{2} \\\\x = (7-y)\frac{3}{2} ---eq(2)\)
1) x = -6
sub in eq(1)
\(y = \frac{-2}{3} (-6) + 7\\\\y = \frac{12}{3} + 7\\\\y = 4+7\\\\y = 11\)
2) y = 5
sub in eq(2)
\(x = (7-5)\frac{3}{2} \\\\x = 3\)
3) x = 15
sub in eq(1)
\(y = \frac{-2}{3} 15 + 7\\\\y = \frac{-30}{3} +7\\\\y = -10 + 7\\\\y = -3\)
4)
sub in eq(2)
\(x = (7-15)\frac{3}{2} \\\\x = -8\frac{3}{2}\\ \\x = -12\)
(Chapter 14) fy(a,b) = limit as y approches b f(a,y)- f(a, b)/(y-b)
Answers
In summary, fy(a,b) is the slope of the tangent line to the surface defined by f(x, y) at the point (a, b) in the y-direction.
The given expression represents the partial derivative of f(x, y) with respect to y, evaluated at (a, b):
fy(a,b) = lim┬(y→b)〖[f(a,y) - f(a,b)]/(y - b)〗
Geometrically, this partial derivative represents the slope of the tangent line to the surface defined by f(x, y) at the point (a, b) in the y-direction.
To see why this is the case, consider the following argument:
Let L be the limit in the expression given above.
Let h = y - b be the change in the y-coordinate from b to y.
Then, we can rewrite the limit as:
fy(a,b) = lim┬(h→0)〖[f(a,b + h) - f(a,b)]/h〗
This expression represents the average rate of change of f(x, y) with respect to y over the interval [b, b + h].
As h approaches 0, this average rate of change approaches the instantaneous rate of change, which is the slope of the tangent line to the surface defined by f(x, y) at the point (a, b) in the y-direction.
Therefore, fy(a,b) is the partial derivative of f(x, y) with respect to y, evaluated at (a, b).
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The radius of a circle is 12 meters. What is the circle's area
Answers
Answer:
452.16 m²
Step-by-step explanation:
Given :-
Radius = 12 m
To Find :-
Area
Formula Required :-
Area (circle) = πr²
Solving :-
Area = 3.14 x 12 x 12
= 3.14 x 144
= 452.16 m²
Solution :-
452.16 m²
Answer:
144
Step-by-step explanation:
A=πr^2
Where:
A
is the Area of the Circle: what we are solving for in this problem.
r
is the Radius of the Circle: 12 meters for this problem
Substituting and calculating
A
gives:
A=π(12)^2m^2
A=π144m^2
A= 144m^2
This circle would have an area of 144 square meters.
Christiana and Marlena opened their first savings accounts on the same day. Christiana opened her account with $50 and plans to deposit $10 every month. Marlena opened her account with $30 and plans to deposit $15 every month.
answer starter y=
for both of the girls
Answers
a sociologist develops a test designed to measure attitudes about disabled people and gives the test to 16 randomly selected subjects. their mean score is 71.2 with a standard deviation of 10.5. construct the 99 percent confidence interval for the mean score of all subjects.
Answers
The 99 percent confidence interval for the mean score of all subjects lies greater than 63.464 and less than 78.936.
Given:
No. of samples (n)= 16
df = n-1 = 16 -1 = 15
The mean score is 71.2
The standard deviation = 10.5.
So, from the t-distribution of critical values table through the above-mentioned details. We get the values:
Alpha / 2 = 0.005
z = 99/100 + 0.005 = .99 + .005 = .995
Sample mean = xbar = 76.2
t = 2.947
The formula for standard error = E = value of t (at z, and df) / S.D./sqrt(n)
i.e. E = 2.947 x 10.5 / sqrt 16 = 7.736
I = 71.2 +/- E = 71.2 +/- 7.736
99 percent confidence interval - 71.2 +/- 7.736
Adding both sides 7.736 for range. We get,
63.464 < u < 78.936
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10
14)
Which equation represents a proportional relationship?
1)
A)
3x
y =
4
3
B)
y =
C)
3x
y =
+ 1
D)
3
y =
+ 1
4x
Answers
Answer:
295275392
2864263924729
8639253925339
9739373027303
9283634828
293682537474(483
926338286328+
92632926282727
93739363825282
92362836273
9263935392628
9273926382639
926329638392
92639236926
92632863922
9273936
965 divided by 31 is the question I need help with
Answers
Answer:
31.12
Step-by-step explanation:
Answer:31.129
Step-by-step explanation:
Reuben made $168 for 12 hours of work.
At the same rate, how many hours would he have to work to make $112?
Answers
Answer:
He would have worked 8 hours
0.25(6q+32)
Need help
Answers
Answer:
evalute: 1.5q+8
Step-by-step explanation:
simplify: 1.5q+8
ratios and proportions help
Answers
Answer:
\(\frac{AD}{AB}\) = 3
Step-by-step explanation:
from the diagram
the horizontal distance AD = 9
the horizontal distance AB = 3
\(\frac{AD}{AB }\) = \(\frac{9}{3}\) = 3
Si el área de una figura rectangular esta dada por A-bxh,¿cual es la siguiente expresiones representa el área de la puerta
Answers
Respuesta:
3x² + 5x - 2
Explicación paso a paso:
Dado que :
Área del rectángulo, A = largo * ancho
Dimensión = 3x - 1; x + 2
Área = (3x - 1) * (x + 2)
Área = 3x² + 6x - x - 2
Área = 3x² + 5x - 2
which fraction numbers are more than half
Answers
Answer 2/3
Step-by-step explanation:
A high school teacher earns an average bi-weekly net pay of $1,541.65. Which compound inequality correctly shows the amount of money, m, the teacher can spend if the monthly budget for transportation is between 15% and 20%?
$501.04 ≤ m ≤ $668.05
$462.50 ≤ m ≤ $616.66
$334.02 ≤ m ≤ $501.04
$231.25 ≤ m ≤ $308.33
Answers
The compound inequality correctly shows the amount of money, m, the teacher can spend if the monthly budget for transportation is between 15% and 20% is $462.50 ≤ m ≤ $616.66
How to determine which compound inequality correctly shows the amount of money the teacher can spend?
Given:
The average bi-weekly net pay of the high school teacher is $1,541.65.
To find the monthly budget for transportation, we need to multiply this amount by 2 to get the monthly net pay and then multiply the result by the percentage of the budget for transportation, which is between 15% and 20%.
The compound inequality that correctly shows the amount of money, m, the teacher can spend on transportation is:
$1,541.65 × 2 × 0.15 ≤ m ≤ $1,541.65 × 2 × 0.20
This simplifies to:
$462.495 ≤ m ≤ $616.66
$462.50 ≤ m ≤ $616.66
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What is the slope of the line that goes through the points (-4,-1) and (-2, 9)?
Answers
Answer:
2
Step-by-step explanation:
"Let A, B, and C be events relative to the sample space S. Using Venn diagrams, shade the areas representing events:
a(A∩B)′
b. (A∪B)'
c. (A∩C)∪B"
Answers
a. Shade the complement of the intersection of A and B.
b. Shade the complement of the union of A and B.
c. Shade the union of the intersection of A and C with B.
a) To shade the area representing the event (A∩B)', we start by shading the intersection of A and B. Then, we take the complement of this shaded area, which includes all the regions outside of A∩B.
b) To shade the area representing the event (A∪B)', we first shade the union of A and B. Then, we take the complement of this shaded area, which includes all the regions outside of A∪B.
c) To shade the area representing the event (A∩C)∪B, we start by shading the intersection of A and C. Then, we shade the region representing the union of this intersection with B.
Please note that as a text-based platform, I cannot directly show you a visual representation of the Venn diagrams. It would be helpful to refer to a Venn diagram or use an online tool to visualize the shaded areas accurately.
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What is the sum of please refer to the photo
Answers
Answer: the answer is option B
Step-by-step explanation: addition of numbers which has same power
Answer:
The sum of (-9x^4 + 6x^3 + 2x^5 +6) and (3x^5 + 3x^4 + 7x^3 + 8) is:
2x^5 + (-9x^4 + 3x^5) + (6x^3 + 3x^4 + 7x^3) + (6 + 8)
Combining like terms, we get:
5x^5 - 6x^4 + 13x^3 + 14
Therefore, the answer is: 5x^5 - 6x^4 + 13x^3 + 14
A rectangular prism has a length of 3.1 inches, a width of 5 inches, and a height of 1į inches.
What is the volume of the prism?
Enter your answer in the box as a simplified mixed number orla decimal.
in. 3
Answers
Length=3.1
Width = 5
Height = 1
(3.1)(5)(1)
= 15.5inches^2