The sample regression equation:
Y = b0 + b1X, where Y represents happiness, and X represents age.
To estimate happiness as a function of age in a simple linear regression model, we'll need to create a sample regression equation using these terms:
dependent variable (Y),
independent variable (X),
slope (b1), and intercept (b0).
In this case, happiness is the dependent variable (Y), and age is the independent variable (X).
To create the sample regression equation, follow these steps:
Collect data:
Gather a sample of data that includes happiness levels and ages for a group of individuals.
Calculate the means:
Find the mean of both happiness (Y) and age (X) for the sample.
Calculate the slope (b1):
Determine the correlation between happiness and age, then multiply it by the standard deviation of happiness (Y) divided by the standard deviation of age (X).
Calculate the intercept (b0):
Subtract the product of the slope (b1) and the mean age (X) from the mean happiness (Y).
Form the sample regression equation:
Y = b0 + b1X, where Y represents happiness, and X represents age.
By following these steps, we'll create a sample regression equation that estimates happiness as a function of age in a simple linear regression model.
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To estimate happiness as a function of age in a simple linear regression model, we can use the following equation:
Happiness = b0 + b1*Age, here, b0 is the intercept and b1 is the slope coefficient.
The intercept represents the expected level of happiness when age is zero, and the slope coefficient represents the change in happiness associated with a one-unit increase in age.
To find the sample regression equation, we need to estimate the values of b0 and b1 using a sample of data. This can be done using a statistical software package such as R or SPSS.
Once we have estimated the values of b0 and b1, we can plug them into the equation above to obtain the sample regression equation for our data. This equation will allow us to predict happiness levels for different ages based on our sample data.
Or we'll first need to collect data on happiness and age from a representative sample of individuals. Then, you can use this data to determine the sample regression equation, which will have the form:
Happiness = a + b * Age
Here, 'a' represents the intercept, and 'b' represents the slope of the line, which estimates the relationship between age and happiness. The intercept and slope can be calculated using statistical software or by applying the least squares method. The resulting equation will help you estimate the level of happiness for a given age in the sample.
To learn more about least squares method click here, brainly.com/question/13084720
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...what's
[tex] \sqrt{224} [/tex]
Answer:
it doesnt have any perfect root
Step-by-step explanation:
but in decimal it is 14.97......
Answer:
4√14
Step-by-step explanation:
√224 = √2^5 · 7
= 4√14
Which statement is true about their work? Neither student solved for k correctly because K = 2 and StartFraction 1 over 8 EndFraction. Only Adler solved for k correctly because the inverse of addition is subtraction. Only Erika solved for k correctly because the opposite of One-half is Negative one-half. Both Adler and Erika solved for k correctly because either the addition property of equality or the subtraction property of equality can be used to solve for k.
Question:
Adler and Erika solved the same equation using the calculations below.
Adler’s Work
[tex]\frac{13}{8}= k + \frac{1}{2}[/tex]
[tex]\frac{13}{8} - \frac{1}{2} = k + \frac{1}{2} -\frac{1}{2}[/tex]
[tex]\frac{9}{8}= k[/tex]
Erika’s Work
[tex]\frac{13}{8}= k + \frac{1}{2}[/tex]
[tex]\frac{13}{8}+ (-\frac{1}{2}) = k + \frac{1}{2} + (-\frac{1}{2}).[/tex]
[tex]\frac{9}{8}= k[/tex]
Which statement is true about their work?
Answer:
Both Adler and Erika solved for k correctly because either the addition property of equality or the subtraction property of equality can be used to solve for k.
Step-by-step explanation:
Given
[tex]\frac{13}{8}= k + \frac{1}{2}[/tex]
Required
What is true about Adler and Erika's workings
Analyzing Adler's work;
[tex]\frac{13}{8}= k + \frac{1}{2}[/tex]
Adler subtracted 1/2 from both sides
[tex]\frac{13}{8} - \frac{1}{2} = k + \frac{1}{2} -\frac{1}{2}[/tex]
Solving the expression on the left-hand side
[tex]\frac{13}{8} - \frac{1}{2} = \frac{13 - 4}{8} = \frac{9}{8}[/tex]
Solving the expression on the right-hand side
[tex]k + \frac{1}{2} - \frac{1}{2} = k[/tex]
Hence:
[tex]\frac{9}{8}= k[/tex]
So, Adler's workings is correct
Analyzing Erika's work;
[tex]\frac{13}{8}= k + \frac{1}{2}[/tex]
Erika added -1/2 to both sides
[tex]\frac{13}{8}+ (-\frac{1}{2}) = k + \frac{1}{2} + (-\frac{1}{2}).[/tex]
Solving the expression on the left-hand side
[tex]\frac{13}{8} + (-\frac{1}{2}) = \frac{13}{8} - \frac{1}{2} = \frac{13 - 4}{8} = \frac{9}{8}[/tex]
Solving the expression on the right-hand side
[tex]k + \frac{1}{2} + (-\frac{1}{2}) =k + \frac{1}{2} - \frac{1}{2} = k[/tex]
Hence:
[tex]\frac{9}{8}= k[/tex]
So, Erika's workings is correct
Both workings are correct
Answer: Both Adler and Erika are correct
Step-by-step explanation:
On Edge 2021
Please help! image below
Answer:
28 units
hope this helps have an amazing day
identify error GIVEN, bracelets - php200 necklaces php300 sales at least 3600 sells at most 50 pieces of bracelets and necklaces correct the errors
Dado los puntos p1 (-7/2-9/2) y p2 (5/2, 3/2) calcular la representación gráfica, d p1 p2, pto medio de p1 p2, la pendiente (m) de la recta que pasa por medio de ellos. Porfavor ayúdenme la tarea es para el viernes y no entendió
Answer:
Ce clasă ești sa văd daca te pot ajuta
There is an unknown number of people at the table at the
beginning of lunch. Then...
3 more people joined the group.
Then the entire group divided into 2 groups, and
one group left and went outside,
of the total students were left in the lunchroom
5 people joined the group in the lunchroom.
The total number of people in the lunchroom at the
end of lunch was 10
a. Write the equation you can create to show this situation.
b. How many people were at the table at the beginning of lunch? Explain how you know.
Answer:
11 hours ago u prob dont need it
Step-by-step explanation:
123456
Which choice is equivalent to the fraction below when x is an appropriate value? Hint: Rationalize the denominator and simplify. 7/7+√14x
A. 7-√14x/7-2x
B.7-√14x/49-14x
C.7-√14x/49-2x
D.7-√14x/7-14x
Answer:
A. (7 - √14x) /(7 - 2x)Step-by-step explanation:
Given the fraction:
7 / (7 + √14x)Rationalize the denominator by multiplying (7 - √14x):
7 / (7 + √14x) =7(7 - √14x) / (7 + √14x)(7 - √14x) =7(7 - √14x) /(49 - 14x) =7(7 - √14x) /7(7 - 2x) =(7 - √14x) /(7 - 2x)Matching choice us A
Keisha is making potato casserole
for a dinner party. She needs of a
potato per guest. How many
potatoes will she need for 9 guests?
Answer:
4 1/2 I think
Step-by-step explanation:
I think but I'm not for sure
find the 7th term of 4,5,6.25
Answer:
same i dont know just need points but good luck
Circumscribe a circle about the given triangle.
Answer:
Step-by-step explanation:
To circumscribe a circle to a given triangle implies constructing a circle outside the triangle, so that it touches the three vertices of the given triangle externally.
The step requires bisecting two sides of the triangle so as to locate the center of the circle. Then with the center and one of the edges, draw a complete circle. The circles should be outside the triangle and passing through its three vertices.
The construction is as shown in the attachment to this answer.
A circle with radius of 1 cm sits inside a 3 cm x 3 cm rectangle.
Y
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
What is the area of the shaded region?
Answer:
6.14
Step-by-step explanation:
Find area of shaded region:
regtangle area - circle area = shaded area
Regtangle area:
3x3=9
Circle area:
Pi (3.14) x radius x radius= 3.14
area all together if shaded region
9-3.14=6.14
Can someone help me please?
geometry: help me please!
Answer:
DF = 28 units
AC = 64 units
CF = 32 units
Step-by-step explanation:
In the given triangle ABC points D, E and F are the midpoints of the sides AB, BC and AC.
By midsegment theorem,
"Segment joining the midpoints of each side is parallel and measure the half of the opposite side"
DF = [tex]\frac{1}{2}(BC)[/tex]
= [tex]\frac{56}{2}[/tex]
= 28 units
AC = 2(DE)
= 2 × 32
= 64 units
CF = [tex]\frac{1}{2}(AC)[/tex]
= [tex]\frac{64}{2}[/tex]
= 32 units
WILL MARK BRAINLIEST PLS DO MY MATH DUE: 1 HOUR
1. a=9 2. k=0 3. w=3 4. x= 5 5. v=14 6. f=8 7. u=5 8. c=1 9. s=8 10. q=1/7 11. k= 1/5 12. j=9 13. r=120 14. b=1.4 15. g= 3.1 and 16. m=25
I also post a picture on how I got each answer.
Hope this helped you out
Answer:
a=9 2. k=0 3. w=3 4. x= 5 5. v=14 6. f=8 7. u=5 8. c=1 9. s=8 10. q=1/7 11. k= 1/5 12. j=9 13. r=120 14. b=1.4 15. g= 3.1 and 16. m=25
Step-by-step explanation:
Marcus believes he can score a goal at least 70% of the time.He runs a simulation where he tracks the number of successful goals out of ten attempts. He runs the simulation 100 times.
Goals 0 1 2 3 4 5 6 7 8 9 10
Frequency 0 1 2 2 1 0 1 18 40 30 5
He decides to use a significance level of 0.05. What can he conclude about his null hypothesis that he will score no more than 6 goals out of 10?
Answer:
The p-value is 0.07, which is more than 0.05. Fail to reject the null hypothesis.
Step-by-step explanation:
if Seth used 4 ounces of black beans, how many beans did he use altogether?
Answer: 4 Ounces.
Step-by-step Explanation: I don't know the full context of the problem, but if Seth used 4 ounces, that means that he used 4 ounces all together.
What is the sum of 3/8 + 2/5
If the perimeter of the rectangle shown is 60 feet, we can use the equation 8x + 4 = 60 to find its dimensions. If the solution to this equation is x = 7, what are the dimensions of the rectangle?
Answer:
l= 28 feet
b = 2 feet
Step-by-step explanation:
The perimeter of a rectangle is given by;
P= 2(l + b)
Comparing this to the equation; 8x + 4 = 60, i can write;
2(4x + 2) = 60
This means that;
l = 4x
b = 2
but x =7
So;
l = 4* 7 = 28 feet
b = 2 feet
In order to conduct an experiment five subjects are randomly selected from a group of 48 subjects how many different groups of five subjects are possible
Answer:
1,712,304 ways
Step-by-step explanation:
This problem bothers on combination
Since we are to select 5 subjects from a pool of 48 subjects, the number of ways this can be done is expressed as;
48C5 = 48!/(48-5)!5!
48C5 = 48!/43!5!
48C5 = 48×47×46×45×44×43!/43!5!
48C5 = 48×47×46×45×44/5!
48C5 = 205,476,480/120
48C5 = 1,712,304
Hence this can be done in 1,712,304ways
Ok so I need help with multiplying fractions, this is the way my teacher did it but I have no idea how to do it the way he did it so if someone can, please explain to me on how to do it
example 1: this is basically reducing WHILE multiplying. since 5 and 10 have a greatest common factor and is able to be reduced by each other, we do so. hence the reason 5 went to 1 and 10 went to 2 because 5 goes into 5 once and 5 goes into 10 twice. it was a different case for 3 and 8. 3 obviously cant go into 8 and 3 is prime so nothing can be done with those. ONLY REDUCE WHILE MULTIPLYING DIAGONALLY you CANNOT do up and down or side to side. so our new fractions are [tex]\frac{3}{2}[/tex] and [tex]\frac{1}{8}[/tex] so multiply across and get [tex]\frac{3}{16}[/tex] which cant be reduced more.
example 2: this one in my opinion is pretty easy. you take the two fractions and multiply regularly across. you get [tex]\frac{27}{80}[/tex]. that fraction can be reduced. so we find the prime factorization of each number. 3 is a prime factor. 3x3x3=27 which is our top number. 2 and 5 are all prime numbers used to reach 80. 2x2x2x2x5=80. that's the prime factorization method its an easier way to check your work also.
example 3: this one is practically a combination of the two previous ones. [tex]\frac{16}{21}[/tex] and [tex]\frac{7}{8}[/tex] can be diagonally reduced on both diagonals. 7 goes into 7 once and 7 goes into 21 three times 8 goes into 8 once and 8 goes into 16 twice. now we have [tex]\frac{1}{1}[/tex] and [tex]\frac{2}{3}[/tex] multiply across and get just [tex]\frac{2}{3}[/tex]. prime factorization is the best way to do this but, more effective with larger numbers. [tex]\frac{2*2*2*2*7}{3*7*2*2*2}[/tex] now cross out the numbers that are the same on the top and bottom. three 2's cancel out, one 7 cancels out, and now we're left with [tex]\frac{2}{3}[/tex].
I really hope this helps you!!
Find the HCF of 45 and 81.
Answer:
3² = 9
Step-by-step explanation:
45 = 3² × 5
81 = 3⁴
================
HCF = 3²
Emily is entering a bicycle race for charity. Her mother pledges $0.20 for every 0.75 miles she bikes. If Emily bikes 15 miles, how much will her mother donate? plz help :D
Answer:
24 dollars
Step-by-step explanation:
please help, I really don't get this
Answer:
-8, -8
Step-by-step explanation:
If you add the equations, you get -7x + 4x + 4y - 4y = 24. Canceling out the 4y and the -4y, and adding 4x to -7x, you get -3x = 24. Divide both sides by -3 and you get x = -8. Next, pick an equation and substitute x for -8. I am going to use the first equation. (-7)-8 + 4y = 24 is equal to 56 + 4y = 24. Subtract 56 from both sides to get 4y is equal to -32, and if you divide both sides by 4, you get y = -8.
9514 1404 393
Answer:
(-8, -8)
Step-by-step explanation:
We notice that the coefficients of y are +4 and -4, so have a sum of zero. This means we can add the two equations to eliminate the y-terms.
(-7x +4y) +(4x -4y) = (24) +(0)
-3x = 24 . . . . . . . . . simplify
x = -8 . . . . . . . . . . . divide both sides by -3
Now, we can find y using either equation.
4(-8) -4y = 0
-8 -y = 0 . . . . . . . . divide both sides by 4
-8 = y . . . . . . . . . . add y to both sides
The solution to the system of equations is ...
(x, y) = (-8, -8)
Expand and combine like terms.
(7b^5 – b^2)^2
Which quotient is reasonable? Do not perform the division. 7315 ÷ 12 A. 6 R 9 B. 60 R 9 C. 609 D. 6,009
Answer:
C. 609
Step-by-step explanation:
In the question, 4-digits number were given to be divided by a 2-digits number. Without performing the division, it is only reasonable to say that the quotient will be a 3-digits number.
In the given options, the only 3-digits number is 609
Also, you can multiply 609 by 12 to check how reasonable your guess is.
⇒ 609 x 12 = 7308
The difference between 7315 and 7308 is 7.
The remaining number (7) is not up to 12 and when 7 is divided by 12 it will not give a whole number digit.
Therefore, the only reasonable quotient in the given options is 609.
Find the sum. Write the sum as a mixed number, so the fractional part is less than 1. Number 3. 2 2/3 + 3 2/3 number 5. 9 3/6 + 2 2/6 number 7. 4 3/8 + 1 5/8
Answer:
See explanations below
Step-by-step explanation:
1)2 2/3 + 3 2/3
Convert to improper fraction
= 8/3 + 11/3
= (8+11)/3
= 19/3
= 6 1/3
hence the sum as mixed fraction is 6 1/3
2) 9 3/6 + 2 2/6
= 57/6 + 14/6
= (57+14)/6
= 71/6
= 11 5/6
Hence the value as a mixed fraction is 11 5/6
3) 4 3/8 + 1 5/8
= 35/8 + 13/8
= (35+13)/8
= 48/8
= 6
Hence the value is 6
Jackson has scores of 80, 90, 83, and 81 on four Math quizzes. What is the score he needs on the next quiz to achieve an average above 85?
Round The Following Number: 194,332.125
Having trouble solving this:
Answer:
option b.
61/1000.
................
Answer:
B: 61/1000
Step-by-step explanation:
B: 61/1000 = 0.061
as a percent is 6.1%
Therefore B or 61/1000 is correct hope this helped!
Which is equivalent to b6/b2
Answer:
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