What would be the value of the sum of squares due to regression (SSR) if the total sum of squares (SST) is 23.32 and the sum of squares due to error (SSE) is 5.89
Answers
The value of the sum of squares due to regression (SSR) is 17.43.
Certainly! In statistics, the sum of squares is a measure that quantifies the variability or dispersion of data points around a certain value. It is commonly used in regression analysis to assess how well a regression line or model fits the observed data.
The total sum of squares (SST) represents the total variability in the dependent variable, which is the sum of the squared differences between each data point and the overall mean of the dependent variable. It is a measure of the total deviation of the data points from the mean.
The sum of squares due to error (SSE), also known as the residual sum of squares, represents the unexplained variability in the dependent variable after accounting for the regression model. It is calculated by summing the squared differences between the observed values and the predicted values from the regression model.
The sum of squares due to regression (SSR), also known as the explained sum of squares, represents the variability in the dependent variable that can be attributed to the regression model. It is calculated by subtracting the SSE from the SST.
In the given scenario, the SST is 23.32 and the SSE is 5.89. By subtracting the SSE from the SST, we obtain the SSR. Substituting the values:
SSR = SST - SSE
= 23.32 - 5.89
= 17.43
Therefore, the value of the sum of squares due to regression (SSR) is 17.43.
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Related Questions
Please help for section d) 100 points, must show all working and step by step
Answers
Answer:
Step-by-step explanation:
(a) and (b) see diagram
(c) you can see from the graph, the purple line hits the parabola twice which is y=6 or k=6
(d) Solving simultaneously can mean to set equal
6x - x² = k >subtract k from both sides
6x - x² - k = 0 >put in standard form
- x² + 6x - k = 0 >divide both sides by a -1
x² - 6x + k = 0
(e) The new equation is the same as the original equation just flipped (see image)
(f) The discriminant is the part of the quadratic equation that is under the root. (not sure if they wanted the discriminant of new equation or orginal. I chose new)
discriminant formula = b² - 4ac
equation: x² - 6x + 6 = 0 a = 1 b=-6 c = 6
discriminant = b² - 4ac
discriminant= (-6)² - 4(1)(6)
discriminant = 36-24
discriminant = 12
Because the discriminant is positive, if you put it back in to the quadratic equation, you will get 2 real solutions.
Sasha has a 35% off coupon. Her total before tax came to $23.00. How much did the item originally cost? (round to the nearest hundreds) PLS help!! (middle school and pls show work)
Answers
Answer:
The original cost of the product was $35.68.
Step-by-step explanation:
As Sasha has a discount coupon of 35%, the final amount that he will pay is 65% of the initial value of the product (100 - 35). Thus, 65% of the value is $ 23. Therefore, to determine the initial cost of the product, it is necessary to perform the following calculation:
65 = 23
100 = X
((100 x 23) / 65) = X
2,300 / 65 = X
35.68 = X
Therefore, the initial value of the product was $ 35.68.
true or false? for a certain firm a multiple regression using a sample of 80 workers including john gives bonus
Answers
If John has 10 years experience and earns $50,000 and bonus of $9,500 using Regression Equation, then the statement that the residual for John is unusual is True .
Number of workers in the sample is = 80 workers
John has 10 years experience, amount earned is = $50000
Bonus amount is = $9500
The standard deviation of all 80 residuals is $100
The regression equation is given as
Bonus = 2,000 + 257×Experience + 0.046×Salary
From the above data
The residual is = actual value - predicted value
= 9500 - (2000 + 257×10 + 0.046×50000)
= 2630
Since the residual is more than 3 times of standard deviation, therefore, the given statement is True.
-- The given question is incomplete, the complete question is
"For a certain firm, a multiple regression using a sample of 80 workers (including John) gives: Bonus = 2,000 + 257 Experience + 0.046 Salary. John has 10 years' experience, earns $50,000, and gets a bonus of $9,500. Suppose the standard deviation of all the 80 residuals is $100. Then the residual for John is unusual.
The given statement is True or False?" --
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At a garage sale petra priced her scooter for 15.50 she ended up selling it for 10.75 find percent of decrease in the price of those scooter around the percent to the nearest 10th and if necessary
Answers
Answer:
31% decrease
Step-by-step explanation:
subtract 15.50 from 10.75
take the answer and divide by 15.50 (4.75/15.50)
then round the answer to the nearest tenth (.31)
convert that to a percentage
Hope this helped!
Given: ABCD ∥gram BK ⊥ AD , AB = 6, AK = 3 Find: m∠A, m∠B, m∠C, m∠D
Answers
Answer:
m∠A 60°, m∠B= 120°, m∠C =60°, m∠D=120°
Step-by-step explanation:
\( In\: ||^{gm} \: ABCD, \: BK\perp AD... (given) \\
\therefore \angle BKA = 90\degree \\
In\:\triangle BKA, \\\\
\cos \angle A = \frac{AK}{AB}\\\\
\cos \angle A = \frac{3}{6}\\\\
\cos \angle A = \frac{1}{2}\\\\
\cos \angle A = \cos 60\degree.. (\because \cos 60\degree = \frac{1}{2}) \\\\
\huge \red {\boxed {\therefore \angle A = 60\degree}} \\\)
Since, adjacent angles of a parallelogram are Supplementary.
\( \therefore \angle A + \angle B = 180\degree \\
\therefore 60\degree + \angle B = 180\degree \\
\therefore \angle B = 180\degree - 60\degree\\
\huge \purple {\boxed {\therefore \angle B = 120\degree}} \\\)
Since, opposite angles of a parallelogram are congruent.
\( \therefore \angle C = \angle A
\\
\huge \red{\boxed {\therefore \angle C = 60\degree}} \\\\
\therefore \angle D = \angle B
\\
\huge \purple {\boxed {\therefore \angle D = 120\degree}} \\\)
What part is labeled on this normal curve?
A. The mean
B. The variance
C. The standard deviation
D. The area
Answers
Answer: Standard Deviation
Step-by-step explanation:
I got it right on Acellus
system of equations.
4) 85 vehicles with a total of 188 wheels registered for the Bike \& Trike race at the family picnic. How many were bicycles and how many were tricycles?
Answers
There were 67 bicycles and 18 tricycles at the Bike & Trike race.
Let's use the variables b and t to represent the number of bicycles and tricycles, respectively.
From the problem statement, we know that:
b + t = 85 (equation 1: there are a total of 85 vehicles)
2b + 3t = 188 (equation 2: there are a total of 188 wheels)
We have two equations with two unknowns, so we can solve for b and t using any method. Let's use the substitution method:
Solve equation 1 for b:
b = 85 - t
Substitute this expression for b in equation 2:
2(85 - t) + 3t = 188
Simplifying and solving for t, we get:
170 - 2t + 3t = 188
t = 18
Substitute this value for t in equation 1 to find b:
b + 18 = 85
b = 67
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Please answer i will give brainliest
Answers
Answer:
sorry bro......sis
Step-by-step explanation:
don,t know its answer
Degree= radian x 57.3 = 5π/9 x 57.3 = 100.007 degree
I hope that helps and wish you the best !!
Write and solve an equation to find the number n.
Eight plus the quotient of a number and 3 is -2.
Equation: = -2
The number is n=
Answers
The required equation is \(8+\dfrac{n}{3}=-2\) and the required unknown number is \(n=-30\).
Given:
The statement is "Eight plus the quotient of a number and 3 is -2".
To find:
The required equation and the value of the variable \(n\).
Solution:
Let \(n\) be the unknown number.
Quotient of a number and 3 is \(\dfrac{n}{3}\).
Eight plus the quotient of a number and 3 is \(8+\dfrac{n}{3}\).
It is given that eight plus the quotient of a number and 3 is -2. So,
\(8+\dfrac{n}{3}=-2\)
The required equation is \(8+\dfrac{n}{3}=-2\)
Multiply both sides by 3.
\(24+n=-6\)
Subtracting 24 from both sides, we get
\(24+n-24=-6-24\)
\(n=-30\)
The required unknown number is \(n=-30\).
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Suppose it takes 4 hours for a certain strain of bacteria to reproduce by dividing in half. If 45 bacteria are present o begin with the total number present after a days is f(x) = 45 - 64* Find the total number present after 1, 2 and 3 days. There will be bacteria present after 1 day, after 2 days and after 3 days.
Answers
A certain bacteria strain needs 4 hours to double its population. If in the beginning there are 45 bacteria, after 1 day, the number of bacteria present is 2,880, after 2 days, the number of bacteria is 184,320, after 3 days, the number of bacteria is 11,796,480.
The problem can be solved using the exponential growth model.
In the given problem, the formula for the growth model is given, that is:
f(x) = 45 (64)^(x)
Where:
f(x) = total number of bacteria present after x days
To find f(x) for 1 day, 2 days, and 3 says, substitute x = 1, x = 2, and x = 3 into the formula.
f(1) = 45 (64)¹ = 2,880
f(2) = 45 (64)² = 184,320
f(3) = 45 (64)³ = 11,796,480
Hence,
after 1 day, the number of bacteria present is 2,880, after 2 days, the number of bacteria is 184,320, after 3 days, the number of bacteria is 11,796,480.
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john is 49 years old and his grandma is 97 how much older is john's grandma
Answers
Answer: 97-49=48
Step-by-step explanation:
grandma is 48 years older
John is 49.
You have to subtract the smaller number from the larger to find the difference.
97 - 49 = 48
A students cost for last semester was 2000 dollars. She spent 300 on books. What percent of last semester was spent on books
Answers
Step-by-step explanation:
100% = $2000
1% = 100%/100 = 2000/100 = $20
how many % are $300 ?
well, as many % as 1% fits into these $300 :
300 / 1% = 300 / 20 = 15%
15% of last semester's costs were spent on books.
Answer:
total= 2000
spent = 300
300/2000x100
= 15 %
PLsss mark as Brainliest
im almost done with my last few khan academy assignments but i think i frogot how to do this one
Answers
Answer:
x--------------y
4--------------2
8--------------3
12-------------4
Step-by-step explanation:
y = 1/4x + 1
We substitute the values under x into the equation
Equation 1: y = 1/4(4) + 1
Equation 2: y = 1/4(8) + 1
Equation 3: y = 1/4 (12) + 1
Let's solve for equation 1:
Equation 1: y = 1/4(4) + 1
y = 1/4(4) + 1
Multiply number in parenthesis
y = 1/4 * 4/1 + 1
1/4 and 4/1 turn into 1
y = 1 + 1
Add 1 to 1
y = 2
Let's solve for equation 2:
y = 1/4(8) + 1
Multiply number in parenthesis
y = 1/4 * 8/1 + 1
1/4 and 8/1 turn into 2
y = 2 + 1
Add 2 to 1
y = 3
Let's solve for equation 3:
y = 1/4 (12) + 1
Multiply number in parenthesis
y = 1/4 * 12/1 + 1
1/4 and 12/1 turn into 3
y = 3 + 1
Add 3 to 1
y = 4
So the table of values would be:
x--------------y
4--------------2
8--------------3
12-------------4
look at the graph
Let X represent the number of times a customer visits a grocery store in a one week period. Assume this is the probability distribution of X. X = 0,1,2,3 and p(x)= 0. 1,0. 4,0. 4,0. 1.
find the expected value of X, the average number of times a customer visits the store
Answers
The expected value or the average number of times a customer visits the store, given the probability distribution of X, is 1.4.
To find the expected value of X, we need to multiply each possible value of X by its corresponding probability and then sum up the products. In this case, we have:
E(X) = (0 x 0.1) + (1 x 0.4) + (2 x 0.4) + (3 x 0.1)
= 0 + 0.4 + 0.8 + 0.3
= 1.4
Therefore, the expected value or the average number of times a customer visits the store in a one week period is 1.4. This means that if we were to observe a large number of customers over a long period of time, we would expect the average number of visits per customer to be approximately 1.4.
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In triangle LMN L P = 2 c m , L Q = 3 c m , Q N = 2 c m , m ∠ L P Q = m ∠ L N M , a n d m ∠ L Q P = m ∠ L M N. What is the length of line segment PM, and why?
Answers
The triangles LMN and LPQ are illustrations of similar triangles
The length of line segment PM is 5.5 cm
How to determine the length of line segment PM?The given parameters are:
LP = 2 cm
LQ = 3 cm
QN = 2 cm
m ∠LPQ = m ∠LNM
m ∠LQP = ∠LMN
The above parameters mean that, triangles LMN and LPQ are similar by the AA similarity theorem.
So, we have the following equivalent ratio
\(LP : LQ = LN : LM\)
The ratio becomes
\(2 :3 = 5 : LM\)
The segment LM is the sum of LP and PM.
So, we have:
\(2 :3 = 5 : LP + PM\)
Express as fraction
\(\frac{2}{3} = \frac{5}{ LP + PM}\)
Substitute 2 for LP
\(\frac{2}{3} = \frac{5}{2 + PM}\)
Cross multiply
\(4 + 2PM = 15\)
Subtract 4 from both sides
\(2PM = 11\)
Divide both sides by 2
\(PM = 5.5\)
Hence, the length of line segment PM is 5.5 cm
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x u y = {z l z ∈ x or z ∈ y} is a
Answers
X u y = {z l z ∈ x or z ∈ y} is a valid set builder notation. Yes, this is a valid set builder notation. This specifies the elements of the set.
A set builder notation is a way of expressing a set using a description of its elements. In this particular set builder notation, the set consists of all elements that are either in set x or set y.
The notation is written as {z l z ∈ x or z ∈ y}, where the curly braces denote the set and the statement "z ∈ x or z ∈ y" specifies the elements of the set. This is a valid set builder notation because it correctly expresses the elements of the set.
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Which point does not pass through?
10 Points
Answers
Answer:
C ( 9 , 15)
Step-by-step explanation:
a
rectangular image of length 3cm and width 4cm is magnified in a
studio. on magnification, 1cm of the image represents 17cm. find
the perimeter of the rectangle in the magnified image.
Answers
The perimeter of the rectangle in the magnified image is 238cm.
To find the perimeter of the rectangle in the magnified image, we need to determine the dimensions of the magnified rectangle.
Given that 1cm of the image represents 17cm, we can calculate the magnified length and width using the scale factor.
Magnified Length = Length of the original rectangle * Scale Factor
= 3cm * 17
= 51cm
Magnified Width = Width of the original rectangle * Scale Factor
= 4cm * 17
= 68cm
Now, we can calculate the perimeter of the magnified rectangle.
Perimeter of the magnified rectangle = 2 * (Magnified Length + Magnified Width)
= 2 * (51cm + 68cm)
= 2 * 119cm
= 238cm
Therefore, the perimeter of the rectangle in the magnified image is 238cm.
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the sides of a triangle are xcm,x+3cm and 10cm. If x is a whole numberof x, find the highest value of x
Answers
Highest possible whole number is 3.
What is properties of triangle?A triangle has three sides, three angles, and three vertices, which are its characteristics. A triangle's total internal angles are always equal to 180 degrees. This is referred to as the triangle's angle sum property. Any two triangle sides can add up to a length that is longer than the third side.
Given Data
Sum of length of any two sides of a triangle is always equal to the third side.
For sides a, b and c
We must have, a + b > c
Sides of triangle are x, x +3 and 10cm
So,
x + x+ 3 > 10
2x > 10 - 3
2x> 7
x > \(\frac{7}{2}\)
Possible values of x are 3.5, 3, and so on.
Highest possible whole number is 3.
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Which one of the following statements is not true concerning PivotTables in Excel? O a. PivotTables are also known as crosstabulation tables. b. PivotTables summarize data for two variables. c.PivotTables can be built using data arrayed in rows. d. PivotTables are interactive.
Answers
The statement that is not true concerning PivotTables in Excel is b. PivotTables summarize data for two variables. PivotTables can summarize data for multiple variables, not just two.
PivotTables allow you to analyze and summarize data from various perspectives, including multiple variables, by grouping, filtering, and calculating values based on different criteria. They provide flexibility in summarizing and organizing data in a tabular format, making it easier to extract insights and perform data analysis efficiently.
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Using the table below, calculate the holding inventory costs for all periods using end inventory values. The holding cost per period unit is $5. Periods 1 2 5 6 7 8 9 10 Usage 1000 120 500 800 450 1280 800 500 180 End Inventory 0 300 70 530 70 0 30 0 30 0 d. $10,535 a. $7,820 c. $5,150 b. $19,925
Answers
The correct answer is: c. $5,150 the holding inventory costs for all periods using the end inventory values amount to $5,000.
To calculate the holding inventory costs for all periods, we multiply the end inventory values by the holding cost per period unit and sum them up.
Holding cost per period unit: $5
Periods: 1 2 5 6 7 8 9 10
End Inventory: 0 300 70 530 70 0 30 0 30
Now, let's calculate the holding inventory costs for each period:
Period 1: Holding cost = 0 * $5 = $0
Period 2: Holding cost = 300 * $5 = $1,500
Period 5: Holding cost = 70 * $5 = $350
Period 6: Holding cost = 530 * $5 = $2,650
Period 7: Holding cost = 70 * $5 = $350
Period 8: Holding cost = 0 * $5 = $0
Period 9: Holding cost = 30 * $5 = $150
Period 10: Holding cost = 0 * $5 = $0
Now, let's sum up the holding costs for all periods:
Total holding cost = $0 + $1,500 + $350 + $2,650 + $350 + $0 + $150 + $0
= $5,000
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Eaglecrest Elementary school is building a new playground. What is the area of the new playground?
Answers
Answer:
Step-by-step explanation:
(8 x 6) x 25 =
48 x 25 =
1200 ft2
1. The perimeter of a rectangular garden is 348 m. If the width of the garden is 81 m, what is its length?
2. The area of a rectangular window is 6624 cm If the length of the window is 92 cm, what is its width?
Answers
Answer:
1. 93 m is the length of the rectangular garden.
2. The width of the window is 72 cm.
Step-by-step explanation:
what could be the maximum number of deaths if only 27% of the people in a population of eighteen million is susceptible?
Answers
The maximum number of deaths could be 5840000.
What is susceptible?Being prone to something indicates you are more likely to get sick from it, such as an infection or an earache.Has something ever been given to you that you didn't want? Well, that is probably going to be the case since the word "susceptible" means "likely to be influenced or affected by." If you're easily swayed by flattery, all someone needs to do to get what they want from you is to pay you one or two compliments. Crack-prone materials won't last very long in good condition.acc to our question-
total popuation= 8000000susceptinlr percentage= 278000000 * 27/10021600008000000 - 21600005840000.hence,The maximum number of deaths could be 5840000.
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Dr. Hellsing has designed a test to measure the level of scientific knowledge in high school graduates. To establish a norm against which individual scores may be interpreted and compiled, she is currently administering the test to a large representative sample of high school graduates. Dr. Hellsing is in the process of:
Answers
Dr. Hellsing is in the process of establishing a norm-referenced assessment.
What is the norm-referenced assessment.
Norm-referenced assessment is a method that evaluates an individual's aptitude in comparison with the outputs of a larger, representative sample of test takers from the corresponding population. This technique ranks persons on a scale relative to each other instead of objectively evaluating their actual abilities.
Therefore, by giving the exam to a significant group of high school graduates, Dr. Hellsing will be able to generate standards to interpret separate test scores and equate them to the outcome of others in the same demographic.
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Tom owns a Pizza Restaurant. Expenses for the restaurant include raw material for pizza at $7.02 per slice, $121.00 as monthly rental and $56.00 monthly as insurance. A restaurant sells pizza at a rate of $12.02/slice. How many slices should the restaurant sell in a month to break even
Answers
For Tom's Pizza Restaurant where expenses for the restaurant include raw material for pizza, monthly rent and insurance, total 35 slices must be sold in a month to break even.
There is Tom has a Pizza Restaurant. Now, the Expenses for the restaurant include raw material for pizza = $7.02 per slices
Monthly rental = $ 121.00
Monthly insurance= $56.00
So, Monthly fixed expense = Rent + Insurance = 121+ 56 = $177
The sell rate of pizza = $12.02/slice.
We have to determine the number of slices restaurant sell in a month to break even.
Contribution margin per share = selling price per slice - variable cost per slice = 12.02 - 7.02 = $5.00
Number of slice to be sold to break even = Fixed cost divided by Contribution margin per slice = \(\frac{ 177}{5}\)
= 35.4
= 35 (rounded to whole number)
Hence, 35 slices must be sold for break even.
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HELP ASP SHOW UR WORK ILL GIVE BRAINILEST
Answers
Answer:
Step-by-step explanation: 2x+12x = 14x
14x=70
70/14 = 5
x = 5
Answer: x=29
Step-by-step explanation:
12=70-2x
12=-2x+70
Subtract 70 from both sides: 12-70=-2+70-70
-58=-2x
Divide both sides by the same factor: -58/-2=-2x/-2
x=29
Identify which equation represents a line perpendicular to the given equation 2x+5y=25
Answers
Answer:
y = 5/2x + 5
y = 5/2x - 9.5
Step-by-step explanation:
We need to solve for the y in the expresion of 2x + 5y = 25
\(2x + 5y = 25\\y = (25 - 2x)/5 \\y = 5 - 2/5x\)
now we re-arrenge the factors in the form y = ax + b
y = -2/5x + 5
we reverse "a"
y = 5/2 + a
And now, we use a point in the other formula to solve for a:
original line:
y = 5 - 2/5x
X = 0 then Y = 5
now we solve for the general equation of the perpendicular equation:
\(y - y_1 = m ( x - x_1)\)
\(y - 5 = 5/2 (x - 0)\\y = 5/2x + 5\)
If we use a different point we get a different formula:
original line:
y = 5 - 2/5x
X = 5 then Y = 3
\(y - 3 = \frac{5}{2}(x - 5)\\y - 3 = \frac{5}{2}x -12.5 \\y = \frac{5}{2}x - 9.5\)
An Image is attached to represent
Find the slope of the line
Answers
Answer:
y=3x+0
Step-by-step explanation:
Or just y=3x you don’t really need the plus 0
There are 60 calico cats at the animal shelter if this represents 30% of the cats in the shelter how many total cats are there
Answers
Answer: 200 cats in total
Step-by-step explanation:
60 calico cats represents 30% of the total cat population in the shelter.
That means that if we find 30% of the total number of cats, the number we will get is 60.
Assuming the total is x, representing this in equation form makes it:
x * 30% = 60
x = 60 / 30%
x = 200 cats in total