which one is not true? group of answer choices a regression line is created by minimizing the difference between the line and the data points a regression line is created by maximizing the difference between the line and the data points a regression line can be used to predict one variable from another a regression line can be calculated with data from a single variable
Answers
> A regression line is created by maximizing the difference between the line and the data points.
This statement is false because a regression line is created by minimizing the difference between the line and the data points. This is typically done using a method called least squares regression, which finds the line that minimizes the sum of the squares of the vertical distances between the line and the data points.
The other statements are true:
- A regression line can be used to predict one variable from another. This is done by plugging in a value of one variable into the equation for the line and solving for the other variable.
- A regression line can be calculated with data from a single variable. This is called simple linear regression and involves finding the line that best fits the data points in a scatterplot of the variable against itself.
- A regression line is created by minimizing the difference between the line and the data points. This is typically done using least squares regression.
Related Questions
"Belinda borrowed $18,500 at simple interest rate of 4.40% p.a.
from her parents to start a business. At the end of 3 months, she
paid them $5,200 and $3,200 at the end of 6 months. How much would
she repays
Answers
Belinda would have to pay $10,765.16 at the end of 18 months to clear the remaining balance.
To calculate the final payment, we need to consider the initial loan amount, the interest rate, and the time period. Belinda borrowed $18,500 at a simple interest rate of 4.40% per year.
She made two payments during the loan period. At the end of 3 months, she paid $5,200, and at the end of 6 months, she paid $3,200. These payments reduce the outstanding balance.
To calculate the remaining balance after the initial payments, we subtract the total amount paid from the initial loan amount:
Remaining Balance = Initial Loan Amount - Total Amount Paid
= $18,500 - ($5,200 + $3,200) = $10,100
Now, we need to calculate the interest accrued on the remaining balance for the remaining 12 months (18 months - 6 months). To calculate the interest, we use the formula: Interest = Principal * Rate * Time.
Interest = $10,100 * 0.044 * (12/12) = $443.44
Finally, we add the interest accrued to the remaining balance to find the final payment: Final Payment = Remaining Balance + Interest Accrued = $10,100 + $443.44 = $10,543.44
Therefore, Belinda would have to pay $10,543.44 at the end of 18 months to clear the balance. However, since we are using 'now' as the focal date, and 18 months have already passed, we need to account for the additional 6 months that have elapsed. Hence, the final payment becomes:
Final Payment = Remaining Balance + Interest Accrued for the additional 6 months = $10,100 + $443.44 + ($10,100 * 0.044 * (6/12)) = $10,765.16. Therefore, Belinda would have to pay $10,765.16 at the end of 18 months from 'now' to clear the balance.
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The complete question is:
Belinda borrowed $18,500 at simple interest rate of 4.40% p.a. from her parents to start a business. At the end of 3 months, she paid them $5,200 and $3,200 at the end of 6 months. How much would she have to pay them at the end of 18 months to clear the balance? Use 'now' as the focal date.
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7. A soccer field is 90 meters wide and 120 meters long. What is the length
of its diagonal?
Answers
Answer:
150 meters I hope I could help
Answer:
A soccer field is a rectangular shape. Therefore, the corners will all be 90 degrees. A diagonal cuts the rectangle in half and makes 2 right triangles. Using pythagorean theorem (a^2 + b^2 = c^2), where a=90 and b=120, you can substitute the values and find your answer.
The answer is 22500
at a drug rehab center 37% experience migraines and 30% experience weight gain. 14% experience both. if a patient from the center is randomly selected, find the probability that the patient (round all answers to four decimal places where possible.) a. experiences neither migraines nor weight gain. b. experiences migraines given that the patient experiences weight gain. c. experiences weight gain given that the patient experiences migraines. (round to 4 decimal places) d. are migraines and weight gain mutually exclusive? yes no e. are migraines and weight gain independent? yes no
Answers
a. P( patient experience neither migraines nor weigth gain)= 0.47
b. P(Patient experiences migraines given that the patient experiences weight gain) = 0.4667
c. P(Patient experiences weight gain given that the patient experiences migraines) = 0.3783
d. Both the events are not mutually exclusive.
e. The two events are not independent.
What do you mean by conditional probability?
The possibility of an event or outcome happening contingent on the occurrence of a prior event or outcome is known as conditional probability. The probability of the prior event is multiplied by the current likelihood of the subsequent, or conditional, occurrence to determine the conditional probability.
Patient experience migraines, P(M) = 37% = 37/100 = 0.37
Patient experience weight gain, P(W) = 30% = 30/100 = 0.3
Patient experience both, P(M∩W) = 14% = 14/100 = 0.14
a. Probability of patient experience neither migraines nor weigth gain = 1 - P(M∪W)
P( patient experience neither migraines nor weigth gain) = 1 - (P(M) + P(W) - P(M∩W) = 1 - (0.37 + 0.3 - 0.14)
= 1 - (0.53)
= 0.47
Therefore, P( patient experience neither migraines nor weigth gain)= 0.47
b. Using conditional probability,
P(Patient experiences migraines given that the patient experiences weight gain) , P(M/W) = P(M∩W)/P(W) = 0.14/0.3 = 0.4667
c. P(Patient experiences weight gain given that the patient experiences migraines), P(W/M) = P(W∩M)/P(M) = 0.14/0.37 = 0.3783
d. For two events to be mutually exclusive P(M∩W) should be 0, but according to question , P(M∩W) = 0.14
Thereofre, both the events are not mutually exclusive.
e. For two events to be independent,
P(M) · P(W) = P(M∩W)
Here, P(M)· P(W) = 0.37 × 0.3 = 0.111
P(M∩W) = 0.14
Therefore, P(M)·P(W) ≠ P(M∩W)
Hence, the two events are not independent.
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Need help with these two questions.
Answers
Answer:
Answer is below :)
Step-by-step explanation:
Hope this helps you!
the formula for the area of a sector with a central angle in radians is?
Answers
Answer: \(\dfrac{\theta }{2\pi }\times A\)
Step-by-step explanation:
Given
If the central angle is \(\theta \) (Let's say)
Area of sector is given by (in radians)\(=\dfrac{\theta }{2\pi }\times A\)
Where A=Area of circle
where \(2\pi\) represent \(360^{\circ}\)
Which statement about functions g(x)=4x+3 and f(x)=x^2-4x are true
Answers
The true statements about g(x) = x2 - 4x + 3 and f(x) = x2 - 4x are
A. The vertex of the graph of function g is above the vertex of the graph of function f.B. The graphs have the same axis of symmetry.How to determine the true statements?The functions are given as:
\(g(x) = x^2 - 4x + 3\)
\(f(x) =x^2 - 4x\)
Start by differentiating the function g(x)
g'(x) = 2x - 4
Set to 0
2x - 4 = 0
Add 4 to both sides
2x = 4
Divide by 2
x = 2 ----- this represents the axis of symmetry of function g(x)
Substitute x = 2 in \(g(x) = x^2 - 4x + 3\)
\(g(2) = 2^2 -4*2 + 3\)
g(2) = -1
This means that the vertex of the function g(x) is (2,-1)
Next, differentiate the function f(x)
f'(x) = 2x - 4
Set to 0
2x - 4 = 0
Add 4 to both sides
2x = 4
Divide by 2
x = 2 ----- this represents the axis of symmetry of function f(x) (same as g(x))
Substitute x = 2 in \(f(x) =x^2 - 4x\)
\(f(2) = 2^2 -4 * 2\)
f(2) = -4
This means that the vertex of the function f(x) is (2,-4)
By comparing the vertices (2,-4) and (2,-1).
We can see that (2,-4) is below (2,-1).
Hence, the true statements are (a) and (b)
The complete questionWhich statements about functions g(x) = x2 - 4x + 3 and f(x) = x2 - 4x are true? Select all that apply.
A. The vertex of the graph of function g is above the vertex of the graph of function f.
B. The graphs have the same axis of symmetry.
c. Function f has a maximum value and function g has a minimum value.
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approximately how long will it take for $250 to grow to $1,000 at an annual rate of 8%?a) 4 yearsb) 25 yearsc) 18 yearsd) 9 years
Answers
With an annual growth rate of 8%, with an initial amount of $250, it will grow to $1000 over a period of approximately 18 years. Exponential growth equation can be used to solve this problem.
The exponential rate equation is P= P₀(1±r)ⁿ
P is the amount after n years
P₀ is the initial amount
r is the rate
n is the number of years
Here P= 1000, P₀ = 250, r = 8/100 = 0.08. We have to calculate the n.
1000 = 250 (1+0.08)ⁿ
Rate is added because there is growth in the amount. If rate was declining we would subtract.
1000/250 = (1.08)ⁿ
4 = 1.08ⁿ
Taking logarithms on both sides
ln(4) = n × ln(1.08)
n = ln(4)÷ ln(1.08) = 18.012 ≈ 18
So it will take 18 years to grow from $250 to $1000.
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Determine the open intervals on which the graph is concave upward or concave downward. (Enter your answers using interval notation. If an answer does not exist, enter DNE.)
y=7x−6tanx, (-π/2, π/2)
concave upward
concave downward
Answers
In the interval (-π/2, π/2), the graph of the function y = 7x - 6tan(x) is concave upward.which is (-π/2, 0) and (0, π/2).
To determine the concavity of the function, we need to find the second derivative and analyze its sign. Let's start by finding the first and second derivatives of the function:
First derivative: y' = 7 - 6sec²(x)
Second derivative: y'' = -12sec(x)tan(x)
Now, we can analyze the sign of the second derivative to determine the concavity of the function. In the interval (-π/2, π/2), the secant function is positive and the tangent function is positive for x in the interval (-π/2, 0) and negative for x in the interval (0, π/2).
Since the second derivative y'' = -12sec(x)tan(x) involves the product of a positive secant and a positive/negative tangent, the sign of the second derivative changes at x = 0. This means that the graph of the function changes concavity at x = 0.
Therefore, in the interval (-π/2, π/2), the graph of y = 7x - 6tan(x) is concave upward on the intervals (-π/2, 0) and (0, π/2).
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At its closest point, the distance from the Moon to the Earth is 225,622 miles.The circumference of the earth is 24,901 miles. How many times would you have to travel around the circumference of the Earth to equal the distance from the Earth to the Moon?
Answers
To be able to determine how many times we have to travel around the circumference of the Earth to equal the distance from the Earth to the Moon, simply divide the distance from the Moon to the Earth by the circumference of the earth.
\(225,622miles\div24,901mles=9.0607\approx9.06\)This means we have to travel around the circumference of Earth 9.06 times to equal the distance from the Earth to the Moon.
What is a mathematical quantity having both direction and magnitude?
Answers
A mathematical quantity having both direction and magnitude is called a vector.
A vector is a mathematical quantity that has both direction and magnitude. It is often represented graphically as an arrow, where the length of the arrow corresponds to the magnitude of the vector, and the direction of the arrow represents the direction of the vector.
Vectors are used in many areas of mathematics and science, including physics, engineering, and computer science. Some common operations performed on vectors include addition, subtraction, dot product, and cross product.
Vectors can also be expressed in various coordinate systems, such as Cartesian, polar, and spherical coordinates, depending on the context and application.
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A restaurant makes smoothies in batches of 5.6 litres.
The smoothies are made from ice cream anda mixed fruit juice in the ratio
4:3.
45% of the juice is grape juice.
Work out the maximum number of batches of smoothie that can be made
from 54 litres of grape juice.
Answers
Answer:
Step-by-step explanation:
5.6l/7= 0.8
0.8lx4=3.2 ice cream
0.8lx3=2.4 mixed juice
2.4x0.45=1.08 litres
54/1.08=50 batches!!
The maximum number of batches of smoothie that can be made
from 54 litres of grape juice is 50 litres.
How to find the number of batches of smoothie?First step is to find the mixed fruit juice liters
Let x liters represent the mixed fruit juice
0.45x= 54
Divide both side by 0.45x
x =54/0.45
x=120
Second step is to find the liters that can make the fruit smoothly
Ratio of ice cream and mixed fruit juice = 4:3
Where mixed fruit juice is:
Mixed fruit juice= 3 /(4+3)
Mixed fruit juice =3/7
Hence,
120 ÷ 3/7
120 ÷ 0.42857
= 280
Now let find the batches of smoothie that can be made from 54 litres of grape juice.
Batches of smoothie = 280 /5.6 litres
Batches of smoothie =50 litres
Therefore the batches is 50 litres.
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Solve the separable differential equation for. dy/dx = 1+x / xy¹¹; x > 0Use the following initial condition: y(1) = 3.y12 =
Answers
The solution to the differential equation with the given initial condition is approximately 1.998.
To solve the separable differential equation dy/dx = (1+x)/(xy^11), following the initial condition: y(1) = 3.y12 we can first separate the variables:
dy/y^11 = (1+x)/x dx
Then integrate both sides:
∫dy/y^11 = ∫(1+x)/x dx
Using the power rule for integration and the fact that the integral of 1/x is ln|x|, we get:
-1/10y^10 = ln|x| + x + C
where C is the constant of integration.
To find the value of C, we can use the initial condition y(1) = 3.
Substituting x=1 and y=3 into the above equation, we get:
-1/10(3^10) = ln|1| + 1 + C
C = -1/10(3^10) - 1
So the solution to the differential equation with the given initial condition is:
-1/10y^10 = ln|x| + x - 1/10(3^10) - 1
To find y12, we can plug in x=12 and solve for y:
-1/10y^10 = ln|12| + 12 - 1/10(3^10) - 1
-1/10y^10 = ln(12) + 11/10(3^10) + 11/10
y12 = (-10/1)^(1/10) * [ln(12) + 11/10(3^10) + 11/10]^(-1/10)
Therefore, y12 is approximately 1.998.
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The period T, in seconds, of a simple pendulum as a function of its length l, in feet, is given by T(l)=2π 32. 2 l. Express l as a function of T and determine the length of a pendulum with period of 2 seconds. Use 3. 14 for π and round to the nearest hundredth
Answers
The length of a pendulum with a period of 2 seconds is approximately 51.
the formula for the period of a simple pendulum as a function of its length is given as:
t(l) = 2π √(l/32.2)
we can rearrange this equation to solve for l:
t(l) = 2π √(l/32.2)
t(l)/(2π) = √(l/32.2)
[t(l)/(2π)]² = l/32.2
l = 32.2 * [t(l)/(2π)]²
to determine the length of a pendulum with a period of 2 seconds, we can substitute t = 2 seconds into the equation above:
l = 32.2 * [2/(2π)]²
l = 32.2 * [1.2732]²
l ≈ 51.92 feet 92 feet when π is taken to be 3.14 and rounding to the nearest hundredth.
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Jake and Becky measured the circle-shaped part of a sun they drew on the sidewalk.
The diameter of the circle is 70 centimeters. What is the approximate area of the circle?
(Use 3.14 for Pi)
Answers
Answer:
3847
Step-by-step explanation:
To get your radius
diameter/2= 70/2=35.
Radius=35
Area=πr^2 =3.14x 35x35= 3846.5
approximately=3847
4x-5y+2x+4+6+9y+7x+2
Answers
Answer:
\(13x+4y+12\)
Step-by-step explanation:
Combine all the like terms & then solve:
\((4x+2x+7x)+(-5y+9y)+(4+6+2)\)
\(13x+4y+12\)
\(\implies {\blue {\boxed {\boxed {\purple {\sf { \: 13x + 4y + 12}}}}}}\)
\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)
\(4x - 5y + 2x + 4 + 6 + 9y +7 x + 2\)
Combining like terms, we have
= \( \:( 4x + 2x + 7x ) + (9y- 5y )+ (4 + 6 + 2)\)
= \( \: 13x + 4y + 12\)
\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}\)
Examine the equation.
-2(-x + 9) = 2(x - 9)
2x 18 = 2x - 18
This equation has
Infinite solutions
One solution
No solution
Answers
Answer:
No solution
Step-by-step explanation:
On a coordinate plane, a line is drawn from point a to point b. point a is at (negative 8, negative 13) and point b is at (4, 11). what are the x- and y- coordinates of point p on the directed line segment from a to b such that p is one-third the length of the line segment from a to b? x = (startfraction m over m n endfraction) (x 2 minus x 1) x 1 y = (startfraction m over m n endfraction) (y 2 minus y 1) y 1 (1, 5) (0, 3) (–4, –5) (–5, –7)
Answers
The coordinate for point P which is one-third the length of the line segment from a to b is (-4, -5)
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Point a is at (-8, -13) and point b is at (4, 11). Hence the coordinates for point p(x, y) which is one-third the length of the line segment from a to b is:
\(x=\frac{1}{3}(4-(-8))+(-8)=-4\\ \\y=\frac{1}{3}(11-(-13))+(-13)=-5\)
The coordinate for point P which is one-third the length of the line segment from a to b is (-4, -5)
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Answer:
-4, -5
Step-by-step explanation:
Solve the system by using substitution.
y = 2x – 10 and - 6x – 2y = -10
Answers
Answer:
(3, -4) or x = 3 and y = -4
Step-by-step explanation:
Hope this helps!
Tickets to see a movie cost $5 for children and $8 for adults. The equation 5x + 8y = 80 represents the number of children (x) and adults (y) who can see the movie with $80.
If no adults see the movie, how many children can see the movie with $80?
Answers
Answer:
40
Step-by-step explanation:
Answer:
44444444444444444444
Can someone please help me with this
Answers
Answer:
First three would all be correct
Step-by-step explanation:
mutually exclusive refers to two things that can occur but only result in one thing
(Think tossing a coin: can be heads or tails but it cannot be both)
the smallest score in a population is x = 5 and the largest score is x = 10. based on this information, you can conclude that the____.
Answers
Based on the information that the smallest score in a population is x=5, and the largest score is x=10, the conclusion is that the standard deviation is going to be smaller than the range of scores.
Given that in a population, the smallest score is x=5, and largest score is x=10, the range of scores is:
Range of scores=largest score-lowest score
=10-5
=5
Here the range of scores is 5, and the mean of the scores is likely to be between 5 and 10
Standard deviation which refers to the average spread of the distribution, will now be considered to be smaller since the range of scores is low.
Because standard deviation is found from the mean, if the mean is between x=5 and x=10, the standard deviation must be lower than x=5.
Hence, smaller than the range of scores.
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Write an equation for the description.
Two-Thirds a number x plus 3 is 5.
Answers
Answer:
2/3 x + 3 = 5
Step-by-step explanation:
I did this in math already, here you go. Hope it helps
Anne buys her store's art supplies from a wholesaler. She purchases 8 canvases that are 16 by 20 inches for $7.16
each. How much profit does Anne make on the sale of these 8 canvases?
OA. $35.92
OB. $45.63
OC.
$57.28
OD. $86.04
Answers
Answer:
OC. $57.28
Step-by-step explanation:
It depends on how much she sells them for.
Let's say Anne sells them for $x.
Then her profit is:
8x-(8*7.16)
=8x-57.28
To make a minimum to at least make even is $57.28 and sell for $7.16 a piece.
Anne makes a profit of $57.28 on the sale of these 8 canvases. which is the correct answer would be option (C).
What is the profit?The profit is equal to the difference between the selling price and the original cost price.
Anne purchases art supplies for her business from a wholesaler. She spends $7.16 on eight 16 by 20-inch canvases.
To calculate the profit that Anne makes on the sale of these 8 canvases, you need to know the price at which she sells them and the cost of buying them from the wholesaler. If the cost of each canvas is $7.16 and she buys 8 of them, the total cost of the canvases is :
⇒ 8 × $7.16
Apply the multiplication operation and we get
⇒ $57.28.
Therefore, she makes a profit of $57.28 on the sale of these 8 canvases.
Hence, the correct answer would be an option (C).
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Tap the angle that is vertical to angle 4
Answers
Answer:
angle four is vertical to angle 2
Answer:
angle 2 is vertical to angle 4
Need help asap please. Find the constant of variation, k, for y=-8 when x=12 show work
Answers
The constant variation (k) is \(-\frac{2}{3}\) .
What is constant variation ?The link between the independent (x) and dependent (y) variables is shown by a constant of variation. A continuous relationship between the variables indicates to the user that there is one; it does not alter regardless of how the scenario changes.It can be employed to ascertain how the dependent variable will alter in response to changes in the independent variable. For instance, if a person drives continuously at the same speed, they could calculate their distance by multiplying the number of hours they spent driving by the speed they were traveling at. In this instance, the speed is the constant because it remained constant regardless of how long or how far they traveled during the drive.From given details :
x = 12 & y = -8
we can find k when given any point by dividing the y-coordinate by the x-coordinate.
For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3
So, k = y / x = 12 / -8 = \(-\frac{2}{3}\)
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2. (6) The probability distribution below is for the random variable X = number of mice
caught in traps during a single night in small apartment building.
a. Find P(X = 2)
0
X
P(X) 0.12
1
0.20
2
h
3
4
0.14 0.16
b. Describe P(X ≥ 2)in words and find its value.
5
0.07
c. Find μx and ox. Show work. You may use your calculator to check solutions.
Answers
The probabilities are P(X = 2) = 0.14 and P(X ≥ 2) = 0.30
The mean and the standard deviation are 0.96 and 0.90
How to determine the probabilitiesP(x = 2)
From the question, we have the following parameters that can be used in our computation:
X 0 1 2 3
P(X) 0.12 0.20 0.14 0.16
From the above table, we have
P(X = 2) = 0.14
P(x ≥ 2)
From the question, we have the following parameters that can be used in our computation:
X 0 1 2 3
P(X) 0.12 0.20 0.14 0.16
From the above table, we have
P(X ≥ 2) = P(2) + P(3)
Substitute the known values in the above equation, so, we have the following representation
P(X ≥ 2) = 0.14 + 0.16
Evaluate the sum
P(X ≥ 2) = 0.30
The mean and the standard deviationThe mean is calculated as
μx = sum of the products of x and P(x)
So, we have
μx = 0 * 0.12 + 1 *0.20 + 2 * 0.14 + 3 * 0.16
Evaluate
μx = 0.96
The standard deviation is calculated as
ox = the square root of sum of the products of x and P(x) * (1 - P(x)
So, we have
ox = √[(0 * 0.12 * 0.88) + (1 * 0.20 * 0.80) + (2 * 0.14 * 0.86) + (3 * 0.16 * 0.84)]
Evaluate
ox = 0.90
Hence, the standard deviation is 0.90
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Please help I’m failing lolz..
Answers
Answer:
Yes, since there are no other values in the bracket, the squared is only targeting -2. (Brainiest?)
Step-by-step explanation:
:)
If a quantity changes by a factor of 0.125 every year, by what factor does it change every 4 months?
Answers
Step-by-step explanation:
0.125 ÷12 = 1/96
1/96 x 4 =1/24
or
0.125÷3=1/24 because 4x3=12
Cameron purchased an electric guitar for $1,875. The value of the guitar depreciates by 20% each year. In how many years will the guitar be
valued at $768?
A. 4 years
B. 6 years
C. 7 years
D.2 years
Answers
A 4 years
The number of years it will take for the guitar to be valued at $768 given the initial value and the rate of depreciation is 4 years.
In how many years will the guitar be valued at $768?When an asset deperciates, it means that with the passage of time, the value of the asset declines.
Number of years = (In FV / PV) / r
FV = future value = 768 PV = present value = 1875r = rate of depeciation = 20(In 768 / 1875) / 0.2 = 4 years
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Hi, I'm having a little bit of confusion answering this. What I did was:
Tan(20) = 9/x
9 x Tan(20) = x
But my answer was wrong, can someone tell me what I did wrong?
Thanks :)
Answers
Answer:
Step-by-step explanation:c