When the error term is homoskedastic, the improvement in the fit of the regression can be measured by the decrease in the sum of squared residuals (SSR).
The improvement in the fit of the regression can be measured by the decrease in the sum of squared residuals (SSR). The sum of squared residuals represents the total amount of variation in the dependent variable (y) that is not explained by the regression model. By minimizing the sum of squared residuals, we are effectively improving the fit of the regression model.
When the error term is homoskedastic (meaning the variance of the error term is constant across all levels of the independent variables), the F-statistic can be used to assess the overall fit of the regression model. The F-statistic compares the explained variation (captured by the regression) to the unexplained variation (captured by the residuals).
The F-statistic is calculated by dividing the improvement in the fit of the regression (explained variation) by the lack of fit (unexplained variation). The improvement in the fit of the regression is measured by the decrease in SSR, while the lack of fit is measured by the residual sum of squares (RSS).
When the error term is homoskedastic, a decrease in SSR indicates that the regression model is explaining a larger proportion of the total variation in the dependent variable, which signifies an improvement in the fit of the model. As a result, the F-statistic will increase, indicating a better overall fit of the regression model.
In summary, when the error term is homoskedastic, the improvement in the fit of the regression can be measured by the decrease in the sum of squared residuals (SSR).
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Please help! will give brainlest!
the moon is 2.4 x 10 5 miles from earth. assume the speed of the fastest spacecraft is 3.6 x 10 4 miles per hour. how many hours would it take this spacecraft to fly to the moon from earth? write your answer in standard form, rounded to the nearest hour.
The spacecraft would take approximately 7 hours to reach the moon from Earth.
The moon is 2.4 x 10 5 miles from earth.
Assume the speed of the fastest spacecraft is 3.6 x 10 4 miles per hour.
How many hours would it take this spacecraft to fly to the moon from earth:
The question is asking how many hours it would take a spacecraft that is traveling at a speed of 3.6 x 10 4 miles per hour to fly from Earth to the Moon, which is 2.4 x 10 5 miles away.
This problem can be solved using the formula:
distance = rate x time.
To find the time it would take to travel to the moon,
we need to rearrange the formula to solve for time.
time = distance / rate.
Plugging in the given values:
distance = 2.4 x 10 5 milesrate.
= 3.6 x 10 4 miles per hour
time = (2.4 x 10 5) / (3.6 x 10 4)
time = 6.67 hours
Rounding to the nearest hour, the spacecraft would take 7 hours to fly to the moon from Earth.
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A researcher carried out a hypothesis test using a two-tailed alternative hypothesis. Which of the following z-scores is associated with the smallest p-value?
a. z = 0.39
b. z = 1.35
c. z = -2.38
d. z = -3.24
The smallest p-value is always associated with the z-score that is furthest away from the mean. This is because the tails of the normal distribution curve have less area and thus represent smaller p-values. The correct answer is option (d) z = -3.24.
In a hypothesis test, there are two hypotheses: the null hypothesis (H0) and the alternative hypothesis (H1).
The null hypothesis is the one we're testing, while the alternative hypothesis is the one we're trying to support or prove.
A two-tailed alternative hypothesis is one in which we are interested in whether a parameter is not equal to a certain value, as opposed to one-tailed alternative hypotheses, in which we are interested in whether the parameter is greater than or less than a certain value.
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use newton's method with initial approximation x1 = −2 to find x2, the second approximation to the root of the equation x3 x 9 = 0.
The second approximation to the root of the equation x³ - 9 = 0 using Newton's method with the initial approximation x₁ = -2 is approximately x₂ = -0.5833.
To apply Newton's method to find the second approximation, x₂, to the root of the equation x³ - 9 = 0, we follow these steps:
Determine the function and its derivative.
Let f(x) = x³ - 9 be the given equation. The derivative of f(x) is f'(x) = 3x².
Choose an initial approximation.
In this case, the given initial approximation is x₁ = -2.
Apply Newton's method formula.
The formula for Newton's method is:
xₙ₊₁ = xₙ - f(xₙ) / f'(xₙ)
We start with x₁ = -2 and substitute it into the formula to find x₂:
x₂ = x₁ - f(x₁) / f'(x₁)
Calculate x₂.
Substituting the values into the formula:
x₂ = -2 - ( (-2)³ - 9 ) / (3(-2)²)
= -2 - ( -8 - 9 ) / (3 * 4)
= -2 - ( -17 ) / 12
= -2 + 17 / 12
= -2 + 1.4167
= -0.5833
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Find the quotient of each expression.
1. (36a^4 - 24a^4 - 18a²) ÷ (-6a²)
-6a² + 4a² + 3 is the quotient of the given expression: (36a⁴- 24a⁴ - 18a²) ÷ (-6a²).
What is quotient?It is known as the quotient to divide two integers. The dividend is the quantity being divided, and the divisor is the quantity being divided. The quotient is the outcome of the division.
The sum is the result of multiplying two or more numbers together. The difference is determined by the result of subtracting the two values. The result of multiplying two or more integers is what is known as the product. The quotient is what remains after dividing two numbers.
Given that,
= (36a⁴- 24a⁴ - 18a²) ÷ (-6a²)
= - 6a² + 4a² + 3
thus, -6a² + 4a² + 3 is the quotient of the above expression.
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can someone please help me
Answer:
2.57142857143
Step-by-step explanation:
Answer:
x= 8
Step-by-step explanation:
\(\frac{7x}{4} = 14\)
7x = 14(4) Multiply 4 for both side
7x= 56
x= 8
hope it helps
Someone please help
A, B & C form a triangle where < BAC =
90°.
AB = 9.6 mm and CA = 7.6 mm.
Find the length of BC, giving your
answer rounded to 1 DP.
Answer:
Everything is in the image
Step-by-step explanation:
Answer:
12.2
Step-by-step explanation:
range of 17 21 14 17 12 15 16
see below
.................
Combine the like terms to create an equivalent expression:
-k+3k
Answer:2k
Step-by-step explanation:
-k+3k
-1k+3k
(-1+3)k
2k
Answer:
2k
Step-by-step explanation:
-k is the same as -1k so you can just solve it like that. Also, when adding terms with variables you just add the number in front (if they have the same variable). So -1k + 3k = 2k. Pretty much the same as -1 + 3, you just add a variable..
The parents club compiled a cookbook.
One company charges $750 to make a master copy and $25 for each additional copy. The total selling price depends on
how many copies are ordered. Write a function rule and create a table of values to graph the rule. How much will you save per book by ordering 400 books instead of 100 books?
Answer:
each book saves $295.6875
Step-by-step explanation:
Let the number of book be n
Total cost = 750 + (n-1)*25
For 100 books
cost = 750 + 99*25 = $3225
each book costs = $322.5
For 400 books
cost = 750 + 399*25 = $10725
each book costs = $26.8125
each book saves $295.6875
33. Create an expression that results in an irrational answer and explain how you planned the expression to be
rational.
popod the expression to be rations
What we need
A function which has atleast the below parameters
Must be rationalThe answer must be irrationalThe simplest function is
\(\sf y=\dfrac{\sqrt{-x^2-1}}{2}\)
How can we prove ?
x²>0So -x²-1<0
The answer will come irrationalWILL GIVE BRAILIEST IF SOME ONE HELLLPPPPSSSSS
Answer:
1/5 to the 18 power or
2.62144 x 10 to the -13 power.
Or just simply 5 to the -18 power
Step-by-step explanation:
15 books to 21 books increase or decrease
15 books to 21 books
21 is greater then 15 : 15 < 21
So, 15 books to 21 books is increasing
Answer : Increase
Jerome bought screen for 59 cents per sq ft. how much did 12 sq ft cost
Answer:
$7.08
Step-by-step explanation:
59 cents = 1 sq ft
? = 12 sq ft
To get from the 1 to the 12 we multiply by 12, so we must do the same to the 59 cents.
0.59 * 12 = 7.08
Therefore, the cost of 12 sq ft is $7.08.
Please mark brainliest if possible and have a nice day.
Can somebody plz helppp!!! answer these questions correctly
thanks!!!! :D
(WILL MARK AS BRAINLIEST)
:)
Answer:
7. 3/7
8. 5/7
9. 1/7
10. 6/7
11. 5/7
12. 4/7
Lucy made 247 for 13 hours of work. At the same rate, how much would she make for 9 hours of work?
Answer: $171
Step-by-step explanation:
$247 divided by 13 hrs = $19/hr
$19/hr times 9 hrs = $171
solve pls brainliest
Answer:
LCD = 12
Equivalent Fractions with the LCD
1/6 = 2/12
9/4 = 27/12
Step-by-step explanation:
hope this helps have a good day:)
Can someone help me with this please?
Answer:
216 Minutes
Step-by-step explanation:
2x=18
x=9
Every mile is 9 minutes, so we can multiply 9 by 26:
234 minutes
But he has already ran for 18 minutes, so we can subtract:
234-18=216
Answer:
216mins
Step-by-step explanation:
first divide 2/18 by 2 to see the rate and you get 1/9 so he runs 1 mile every 9 mins. You multiply 9 by 26 to get your answer and you get 234 subtract 18 and it will take him 216 more mins
How do you write 6% as a fraction or mixed number?
Answer:
As a fraction: 3/50
It cannot be turned into a mixed number
Which pair of ratios is equivalent?
A. 8:10 and 4:5
B. 6:9 and 1:3
C. 12:15 and 4:10
D. 10:14 and 5:6
Help ASAP plz
Answer:
The answer is option A.
Hope this helps.
Answer:
its A
Step-by-step explanation:
Please help me with this question
Answer:
alternative interior angles
pls help asap! i will mark brainliest!
Answer:
3
Step-by-step explanation:
2 x 7= 14 - 17= 3
You and your friend are playing a game by tosing two coins land on different sides your friend wins the table shows the possible outcome? Is this a fair game
A measure of the dispersion of observations in a process distribution is called:_____.
A measure of the dispersion of observations in a process distribution is called: range.
This is further explained below.
What is the range?Generally, The range of a collection of data is the difference between the highest and smallest values in the set. This difference is calculated by subtracting the sample maximum and minimum from the sample size. It is written out using the same units that were used for the data.
In conclusion, The term "range" refers to a measure of the dispersion of observations included within a process distribution.
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(3/5)/2=(1/4)/x solve for x
Answer:
\(x=\frac{6}{5}\)
Step-by-step explanation:
\(\frac{3}{5} / 2=\frac{3}{10}\)
\(\frac{3}{10} =\frac{1}{4} x\)
\(x=\frac{6}{5}\)
Answer:
x=
\( \frac{5}{6} \)
Step-by-step explanation:
(3/5)/2=(1/4)x
3/10=1/4x
12x=10
x=10/12=5/6
find the average rate of change of over the interval . for how many values of in the interval does the instantaneous rate of change of equal the average rate of change of over that interval?
there are two values of x in the interval where the instantaneous rate of change of is equal to the average rate of change of over the interval.
To find the average rate of change of over the interval , we need to calculate the slope of the line passing through the two endpoints of the interval.
The slope of the line passing through the points and is given by:
( - )/( - ) = ( -3 - 3)/(1 - (-1)) = -6/2 = -3
Therefore, the average rate of change of over the interval is -3.
To find how many values of in the interval have instantaneous rate of change equal to the average rate of change, we need to find the derivative of :
f'(x) = 3x^2 - 3x - 3
Setting f'(x) equal to the average rate of change, we get:
3x^2 - 3x - 3 = -3
Simplifying the equation, we get:
3x^2 - 3x = 0
Factoring out 3x, we get:
3x(x - 1) = 0
Therefore, the solutions are x = 0 and x = 1.
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How do I find the equation of a line?
Can i have an easy method for this pls tyy!
Answer:
Steps to find the equation of a line from two points:
Find the slope using the slope formula
Use the slope and one of the points to solve for the y-intercept (b).
One of your points can replace the x and y, and the slope you just calculated replaces the m of your equation y = mx + b. Then b is the only variable left. Use the tools you know for solving for a variable to solve for b.
Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.
Step-by-step explanation:
Well this is my way lol
mark brainliest if u want to cuz i need 5 more :)
Answer:
Step-by-step explanation:
You usually need to find the slope first.
When you have more than two points, you use the slope-intercept formula.
When you have one point and a slope, you use point-slope formula.
Hope this helps!
If 15 ounces of candy cost $3.75 what is the price per unit
Answer:
$0.25 per ounce
Step-by-step explanation:
3.75 divided by 15 is 0.25
Answer:
0.25 per ounce
Step-by-step explanation:
3.75 divided by 15 is 0.25
Please help me, I’ll mark your answer as brainliest!
Answer:
(-∞ , -3) ∪ (-3 , ∞)
Step-by-step explanation:
when x+3=0 f(x) -> ∞
undefined point: x = -3
solution: x < -3 or x >-3
Interval notation: (-∞ , -3) ∪ (-3 , ∞)
If you agree this answer, just give me a happy face, Nothing else.
Surface area hw help pls
Answer:
Find the perimeter first then the are
Step-by-step explanation: