A change in the unit of measurement of the dependent variable in a model does not lead to a change in: a. the standard error of the regression. b. the sum of squared residuals of the regression. c. the goodness-of-fit of the regression. d. the confidence intervals of the regression.
Answers
A change in the unit of measurement of the dependent variable in a model does not lead to a change in the goodness-of-fit of the regression. The correct option is c.
The goodness-of-fit, often measured by the coefficient of determination (R-squared), reflects the proportion of variance in the dependent variable that can be explained by the independent variable(s) in the model. This measure is unitless and ranges from 0 to 1, where a value closer to 1 indicates a better fit.
When the unit of measurement of the dependent variable changes, the standard error of the regression (option a) may change since it represents the dispersion of the observed values around the predicted values in the model. Similarly, the sum of squared residuals of the regression (option b) might also change, as it is the sum of the squared differences between the observed and predicted values.
Additionally, the confidence intervals of the regression (option d) may be affected by a change in the unit of measurement, as these intervals provide a range within which the true population parameters are likely to fall, and the range is dependent on the scale of the dependent variable.
In summary, while a change in the unit of measurement of the dependent variable can affect the standard error, sum of squared residuals, and confidence intervals of the regression, it does not impact c. the goodness-of-fit of the regression model.
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Related Questions
Which of the following is an odd function?
Answers
After solving we can conclude that (c) f(x) = -x is an odd function.
What is an odd function?If -f(x) = f(-x), then a function f is said to be odd for all values of x.
When taking into account additive inverses, the functions even and odd are those that satisfy particular symmetry relations.
They are crucial to understanding power, the Fourier series, and mathematical analysis.
So, (a) f(x) = x³ + 5x² + x:
f(-x) = (-x)³ + 5(-x)² + (-x)
= -x³ + 5x² - x
= -(x³ - 5x² + x)
Neither even nor odd describe the function.
(b) f(x) = x² + x
f(-x) = (-x)² + (-x)
= -(-x² + x)
Neither even nor odd describe the function.
(c) f(x) = -x
f(-x) = -(-x)
= x
= -f(x)
f(-x) = -f(x) makes the function odd.
Therefore, after solving we can conclude that (c) f(x) = -x is an odd function.
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Complete question:
Which of the following is an odd function?
(a) f(x) = x³ + 5x² + x
(b) f(x) = x² + x
(c) f(x) = -x
Julio says,"If you subtract 15 from my number and multiply the difference by -7,the result is -175." What is Julios number
Answers
Answer: 40
Step-by-step explanation:
Assume Julio's number is x.
The expression would be:
-7 * (x - 15) = -175
x - 15 = -175/-7
x = -175/-7 + 15
x = 40
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the quotient.
800 ÷ 20 =
Answers
A bag contains 6 red apples and 6 yellow apples. A sample of 3 apples is drawn. Find the probability that the sample contains more red than yellow apples
Answers
Answer: 21/44
Step-by-step explanation:
Given that:
Bag contains :
6 red apples
6 yellow apples
Number of samples drawn = 3
Probability that sample contains more red than yellow :
Then from the three samples, red = 2 and yellow = 1 or red for all 3
Prob of RRR = (6/12)(5/11)(4/10)= 120 / 1320
Prob RRY = (6/12)(5/11)(6/10)= 150/1320
Prob RYR is (6/12)(6/11)(5/10)= 180/1320
Prob YRR is (6/12)(6/11)(5/10)=180/1320
120/1320 + 150/1320 + 180/1320 +. 180/1320 = 630/1320 =126/264 = 42/88 = 21/44
In 3 months John collected a debt of $70.00. What was the average amount of debt John collected per month?
Answers
Answer:
$23
Step-by-step
Johns debt is 70.00 dollars in 3 months. 70 divided by 3 is 23.
Find an orthonormal basis of the planex 1+x 2+x 3=0.
Answers
The orthonormal basis of the plane x₁ + x₂ + x₃ = 0 is {(1/√2, -1/√2, 0), (-1/√3, -1/√3, -1/√3)}.
We are supposed to find an orthonormal basis of the plane x₁ + x₂ + x₃ = 0.
The given plane is a two-dimensional subspace of R³, and it can be spanned by a basis consisting of any two linearly independent vectors lying in it.
It should be noted that any two vectors lying on the given plane are linearly independent.
So, the given plane can be spanned by two linearly independent vectors (a, b, c) and (d, e, f), and an orthonormal basis of the given plane can be obtained from these two vectors.
Here is how we can obtain an orthonormal basis of the given plane.
First, we have to obtain two linearly independent vectors lying in the given plane. For this, we can set one of the variables (say, x₃) equal to a constant (say, 1), and express the other variables (x₁ and x₂) in terms of this constant.
That is, we can write x₃ = 1, x₁ = -x₂ - 1.
Then, the plane x₁ + x₂ + x₃ = 0 becomes -x₂ - 1 + x₂ + 1 + 1 = 0, which reduces to x₁ + x₂ = 0.
Therefore, the vectors (1, -1, 0) and (0, 1, -1) are two linearly independent vectors lying in the given plane.
Now, we have to orthonormalize these two vectors. Let us start with the vector (1, -1, 0).
We can normalize the vector (1, -1, 0) by dividing it by its magnitude.
The magnitude of this vector is √(1² + (-1)² + 0²) = √2.
Therefore, the normalized vector is (1/√2, -1/√2, 0).
Next, we need to obtain a vector that is orthogonal to (1/√2, -1/√2, 0).
For this, we can take the cross product of (1/√2, -1/√2, 0) with (0, 1, -1).
The cross product of two vectors is a vector that is orthogonal to both of them. We have:
(1/√2, -1/√2, 0) × (0, 1, -1) = (-1/√2, -1/√2, -1/√2)
Therefore, the vector (-1/√2, -1/√2, -1/√2) is orthogonal to both (1/√2, -1/√2, 0) and (0, 1, -1).
We can normalize this vector to obtain a unit vector that is orthogonal to both (1/√2, -1/√2, 0) and (0, 1, -1).
The magnitude of (-1/√2, -1/√2, -1/√2) is √(1/2 + 1/2 + 1/2) = √3/2.
Therefore, the unit vector orthogonal to both (1/√2, -1/√2, 0) and (0, 1, -1) is (-1/√3, -1/√3, -1/√3).
Finally, we have two orthonormal vectors that span the given plane.
These vectors are (1/√2, -1/√2, 0) and (-1/√3, -1/√3, -1/√3).
Thus, the orthonormal basis of the plane x₁ + x₂ + x₃ = 0 is {(1/√2, -1/√2, 0), (-1/√3, -1/√3, -1/√3)}.
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Use point-slope form to write the equation of a line that passes through the point (19,-12) with slope -3
Answers
Answer:
Step-by-step explanation:
The formula is :
(y - y1) = m(x - x1)
the given values are x1 = 19, y1 = -12 and m = slope = -3
putting values
(y + 12)= -3(x-19)
y + 12 = -3x +57
y+ 3x - 35 = 0
This is the required equation.
Who Is Nathan Drake?
Answers
Answer:
he's the guy from uncharted
Answer: Nathan Drake is a fictional character and the protagonist of the Uncharted video game series, developed by Naughty Dog.
PLEASEEE HELLP. I NEED HELP PLS
Answers
Answer:
C
Step-by-step explanation:
Triangle = 180
100+62.7+18=180.7
180.7 is not a triangle
Answer:
C 100.3, 62.7, 18
Step-by-step explanation:
Angles inside of a triangle add up to 180 degrees
Option A
25+85+70=180
Option B
11.6+91+77.4=180
Option C
100.3+62.7+18=181
Option D
60+60+60=180
Option C is the answer as it is the only option that does not add up to 180 degrees
Which graph represents the inequality \(y\ge-x^2-1\)?
Answers
I'm sorry but i can't help with this BUT i can give you a graph calculator
You can use Desmos graphing calculator to plot the inequality (y\ge-x^2-1).
h t t p s : / /w w w . d e s m o s. c o m / c a l c u l a t o r
Arlene buys a phone case and charging cord for 15% off. The original price of the charging cord, x. enter the correct answers in the boxes. remember to multiply by the discounted percentage as a decimal. the discount is applied to the sum of the cord and the phone case.
Answers
Arlene buys a phone case and charging cord for 15% off
Discount on case and cord = 15%
Original cost of case = $18
Total discount amount = $4.20
Let the original cost of charging cord = x
So, Arlene buys a phone case and charging cord for 15% off = 15% of cost of cord and case
15% of cord and case = 15% of (x + 18)
as the discount amonut ins $18
15% of cord and case = 15% of (x + 18)
15% of cord and case = 4.20
15% of (x + 18) = 4.20
\(\begin{gathered} \text{ 15\% of (x +18) = 4.20} \\ \text{ }\frac{15\times(x+18)}{100}=4.20 \\ 15(x+18)=4.20\times100 \\ 15(x+18)=420 \end{gathered}\)So, the expression is : 15(x + 18) = 420
Simplify the expression for x :
15(x + 18) = 420
15x + 270 = 420
15x = 420 - 270
15x = 150
x = 150/15
x = 10
So, the cost of charging cord is $10
Answer : equation : 15(x + 18) = 420
$10
If z is directly proportional to the product of x and y and if z is 10 when x is 4 and y is 5, then x, y, and z are related by the equation
Answers
The equation relating x, y, and z is:
z = 0.5 * x * y.
In the given problem, the relationship between x, y, and z can be expressed by the equation z = k * x * y, where k represents the constant of proportionality. By substituting the values of x = 4 and y = 5, when z is equal to 10, we can determine the value of the constant of proportionality, k, and further define the relationship between the variables.
To find the constant of proportionality, we substitute the known values of x = 4, y = 5, and z = 10 into the equation z = k * x * y. This gives us the equation 10 = k * 4 * 5. By simplifying the equation, we have 10 = 20k. To isolate k, we divide both sides of the equation by 20, resulting in k = 0.5. Therefore, the equation relating x, y, and z is z = 0.5 * x * y, meaning that z is directly proportional to the product of x and y with a constant of proportionality equal to 0.5.
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Look at the two points on the number line. Each number graphed is the square root of a whole number that is not a perfect square. Write appropriate square root in each box. Explain how you found those answers.
Answers
Answer:
2.8 and 4.4
Step-by-step explanation:
The distance between tick marks is 0.25.
Since the first number is greater than 2.75, we can approximate is as 2.28.
The second number is less than 4.50, we can approximate it as 4.4.
TWO MINUTES HELP MY PLEASE
Answers
Answer: C
Step-by-step explanation:
Answer:
The third one. Y= -1/2x^2 -2x -1
Step-by-step explanation:
what is this please hurry it's a limited time test i'm counting on you guys
Answers
Answer:
see below-
Step-by-step explanation:
1st one- congruent
boxes- m1 and m2 , m2 and m3
2nd line- supplementary
m1 and m3
When positive integer x is divided by positive integer y, the remainder is 9. If = 96.12, what is the value of y ? 96 75 48 25 12
Answers
Y= 75.
Lets try to solve it,
When positive integer x is divided by positive integer y, the remainder is 9
=> x=qy+9;
=> x/y=96.12
=>x=96y+0.12y (so q above equals to 96);
=>0.12y=9
=> y=75.
Hence the value of y would be 75.
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Simone wants to know whether a new chest of drawers will fit next to her bed. The chest she would like to buy is 85 centimeters wide. She knows that her room is 100 inches wide. The bed is 74 inches wide. Will the chest fit next to her bed?
Answers
On using subtraction it can be seen that Simone needs more 8 inches space in her room to fit the chest beside the bed. So, the chest cannot fit in Simone's room with the measurements of room = 100 inches and bed = 74 inches.
What is subtraction?
The process of subtracting one number from another is called subtraction. The way to calculate the difference between two numbers is by using the basic arithmetic operation of subtraction, which is represented by the symbol (-).
The measurement for Simone's room is, a = 100 inches.
The measurement for Simone's bed is, b = 74 inches.
The amount of space left in Simone's room = a - b.
Using the arithmetic operation of subtraction -
= 100 - 74
= 26
Hence, 26 inches of space is left in Simone's room.
The measurement for chest that Simone wants to fit in her room next to bed is 85 centimeters.
To convert 85 cm to inches divide the length by 2.5 -
Using the arithmetic operation of division -
85/2.5 = 34
Hence, the measurement of the chest in inches is 34 inches.
26 < 34
Using the arithmetic operation of subtraction -
34 - 26 = 8
So, Simone has 26 inches space left and the size of chest is 34 inches, which cannot be fitted in the room.
Therefore, Simone cannot fit the chest in her room.
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Select the correct answer.
The graph represents the number of hours that Walter sleeps in terms of the number of days.
Answers
Answer:
3/5
Step-by-step explanation:
i dont know why 6/4 is +6d
Answer:
D) y= 8x
Step-by-step explanation:
Lottery: In the Illinois Lottery, an urn contains balls numbered 1 to 52. From this urn, 6 balls are randomly chosen without replacement. For a $1 bet, a player chooses two sets of 6 numbers. To win all six numbers must match those chosen from the urn. What is the probability of winning the lottery?
Answers
The probability of winning the Illinois Lottery, where 6 balls are randomly chosen from an urn containing numbers 1 to 52, can be calculated by determining the number of favorable outcomes (matching all six numbers) divided by the total number of possible outcomes.
To calculate the probability of winning the lottery, we need to determine the number of favorable outcomes (winning combinations) and the total number of possible outcomes.
The number of favorable outcomes is 1 since there is only one winning combination where all six numbers match those chosen from the urn.
Now let's calculate the total number of possible outcomes.
In the first set of 6 numbers chosen by the player, there are 52 balls to choose from, and the player selects 6 numbers without replacement. This can be calculated using the combination formula:
C(52, 6) = 52! / (6! * (52-6)!)
Similarly, for the second set of 6 numbers chosen by the player, there are also C(52, 6) possible outcomes.
However, since the player has chosen two sets of 6 numbers, we need to consider the total number of outcomes for both sets combined. This can be calculated by multiplying the number of outcomes for each set:
Total number of outcomes = C(52, 6) * C(52, 6)
Now, the probability of winning the lottery is given by:
Probability of winning = Number of favorable outcomes / Total number of possible outcomes
Plugging in the values we obtained, we have:
Probability of winning = 1 / (C(52, 6) * C(52, 6))
Calculating the combination values and simplifying the expression will give us the final probability of winning the lottery.
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How does the standard deviation and mean change when you remove the greatest value from the data set?
Help me
Answers
Answer: the standard deviation decreases
Step-by-step explanation:
Create and solve a story problem that would use this equation: y=5x+3 Be sure to define x, y, the constant, the coefficient and the variable.
Answers
The story problem that would use this equation: y = 5x + 3 is the cost of a chair is 3 more than 5 times the cost of the table and the cost of the table is x.
The equation is given in the question:
y = 5x+3
To satisfy this equation, we would construct a story problem:
Robbin goes to buy a chair the last week. Now, the cost of the table is x but the seller says that the cost of the chair he wants to buy is 3 more than 5 times the cost of the table.
Hence, the story problem that would use this equation: y = 5x + 3 is the cost of a chair is 3 more than 5 times the cost of the table and the cost of the table is x.
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Identify the slope and the y intercept please
Answers
Answer:
m= 2 / 3 b= -2
Step-by-step explanation:
you have to look at the graph to find the y-intercept
then do this to find the slope
m =
y2 - y1
x2 - x1
you plug in all the numbers to get
m=
0+4
3+3
(it would be 3 minus, negative 3 which looks like: 3- - 3 becomes 3+3)
m=
4
6
and simplified that would be
m= 2/3
PLEASE HELP ASAP 25 POINTS GOOD ANSWERS ONLY!
bob has 8 pieces of square index cards that each measures 8 inches per side. Using a pair of
scissors, he cuts each piece in half (so the resulting size is 8” x 4”) and then places all the
resulting card pieces in a new stack. If he repeats this procedure 4 more times, how many
pieces of card stock will he have and what will be the measure of each piece? (Note: All
cuts will be made along the longer edge of the piece if the piece of index card is not square.)
Answers
Answer:
128
Step-by-step explanation:
Halfway between 3.0 and 3.1
2 decimal places
Answers
Answer:
3.05
Step-by-step explanation:
Answer:
what up
Step-by-step explanation:
For National High Five Day, Ronnie’s class decides that everyone in the class should exchange one high five with each other person in the class. If there are 20 people in Ronnie’s class, how many high fives will be exchanged?
Answers
To determine the number of high fives that will be exchanged, we need to find the total number of unique pairs of students in Ronnie's class Since there are 20 people in the class, each person .
To calculate the number of unique pairs, we can use the formula for combinations, which is nC2, where n is the number of people .So, for Ronnie's class with 20 people, the number of high fives exchanged is:20C2 = (20 * 19) / (2 * 1) = 190.Therefore, a total of 190 high fives will be exchanged in Ronnie's class on National High Five Day. we need to find the total number of unique pairs of students in Ronnie's class Since there are 20 people in the class, each person needs to give a high five to every other person, excluding themselves.
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What’s the slope of the line ? (4.5), (6,2)
Answers
Answer:
This is a negative slope.
Step-by-step explanation:
When plotting the numbers on a graph, the slope goes downhill from left to right.
Answer:
In the pic
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)
state the value(s) of the variable that undefine the expressions: (x^2 - 8x + 12/ x^2 - 9) / (x -6 / x + 3)
Answers
The value of x that makes the denominators equal to zero are x = -3 and x = 3.
To find the value(s) of the variable that undefine the expression, we need to identify when the denominators are equal to zero. The given expression is:
((x^2 - 8x + 12)/(x^2 - 9)) / ((x - 6)/(x + 3))
Step 1: Identify the denominators in the expression:
Denominator 1: (x^2 - 9)
Denominator 2: (x + 3)
Step 2: Set each denominator equal to zero and solve for x:
Denominator 1: (x^2 - 9) = 0
x^2 = 9
x = ±3
Denominator 2: (x + 3) = 0
x = -3
Step 3: List the value(s) of x that undefine the expression:
The value of x that makes the denominators equal to zero are x = -3 and x = 3. Thus, these are the values that undefine the given expression.
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What is the Y-Intercept of this table?
\(\left[\begin{array}{ccc}x&y\\5&16\\6&19\\7&22\end{array}\right]\)
Answers
Answer:
The Y-intercept is 4 or (0,4) in a plot
Step-by-step explanation:
To find the Y-intercept you need to make the "x" zero so if you move 5 to 4 in the "x" plot you need to move 16 to 13
(Since 22 to 19 is -3 19 to 16 is -3 as well it is safe to say that the next number is 13)
Now continue until you reach 0 in the "x"
4 to 3 and 13 to 10
3 to 2 and 10 to 7
2 to 1 and 7 to 4
So the y-intercept is 4 or (0,4) in a plot
Hope this helps! Sorry if I am late
how large should we choose n so that the trapezoid-rule approximation, tn, to the integral s π 0 sin (x) dx is accurate to within 0.00001? (use the error bound given in section 5.9 of the course text)
Answers
We need to choose n to be at least 716 to ensure that the trapezoidal rule approximation is accurate to within 0.00001.
To use the error bound in section 5.9 of the course text, we need to find the second derivative of the function f(x) = sin(x) and evaluate it at the point x = π. We have:
f(x) = sin(x)
f''(x) = -sin(x)
Therefore, |f''(x)| = |sin(π)| = 1.
Using the trapezoidal rule with n subintervals, we have:
tn = h/2 * [f(a) + 2f(a+h) + 2f(a+2h) + ... + 2f(b-h) + f(b)]
where h = (b-a)/n is the width of each subinterval, a = 0, b = π, and n is the number of subintervals.
The error bound for the trapezoidal rule is given by:
|E| ≤ K * (b-a)^3 / (12 * n^2)
where K is an upper bound on |f''(x)| over the interval [a,b].
Substituting the values, we get:
|E| ≤ (1/12) * (π-0)^3 / n^2
We want the error to be less than or equal to 0.00001, so we have:
(1/12) * (π)^3 / n^2 ≤ 0.00001
Solving for n, we get:
n^2 ≥ (1/12) * (π)^3 / 0.00001
n^2 ≥ 510966.9135
n ≥ √510966.9135
n ≥ 715.04
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Which word is associated with multiplication when computing probabilities? Choose the correct answer below Disjoint O And O Not
Answers
When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.
According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .
According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.
The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.
Therefore,
When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.
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