An equation was created for the line of best fit from the actual enrollment data. It was used to predict the dance studio enrollment values shown in the table below:Enrollment Month
January February March April May June
Acutal 120 140 150 140 150 130
Predicted 80 150 110 150 110 150
Residual 40 −10 40 −10 40 −20

Analyze the data. Determine whether the equation that produced the predicted values represents a good line of best fit.
No, the equation is not a good fit because the residuals are all far from zero.
No, the equation is not a good fit because the sum of the residuals is a large number.
Yes, the equation is a good fit because the residuals are not all far from zero.
Yes, the equation is a good fit because the sum of the residuals is a small number.

Answers

Answer 1

Answer: The right answer for the question that is being asked and shown above is that: "No, the equation is not a good fit because the sum of the residuals is a large number." Determine whether the equation that produced the predicted values represents a good line of best fit.

Answer 2

Answer:

The equation that produced these predicted values is not a good fit given that the sum of the residuals is a large number.

What is the sum of the residuals in a regression equation?

The sum of the residuals in a regression is a value that is always supposed to be almost equal to zero in a regression analysis.

The residual tells us that the error term has been reduced to the minimum in the regression analysis.

Read more on a regression analysis here:

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Find y when x=4 and z=15; if y varies jointly as x and z y=5 when z=8 and x=10A. Y=1/2.Y•12;15/4B. Y=1/2. Y•15; 12/4C. Y=1/16. Y•15; 15/4D. Y=1/16. Y•2•15; 12/4

Y= − 7x y= 4x+22 Solve the system by substitution

Answers

Answer:

x = -2 u got this

Step-by-step explanation:

-7x = 4x + 22

-11x = 22

x = -2

Easy bro

Final answer:

To solve the system of equations by substitution, solve one equation for one variable and substitute the expression into the other equation. In this case, solve the first equation for y, then substitute that value of y into the second equation. Solve for x and substitute the value back into the first equation to find y. The solution to the system of equations is x = -2 and y = 14.

Explanation:

To solve the system of equations by substitution, we need to solve one equation for one variable and substitute that expression into the other equation.

In this case, we can solve the first equation for y:

y = −7x

Now we substitute this value of y into the second equation:

−7x = 4x + 22

Next, we solve this equation for x:

−7x - 4x = 22

-11x = 22

x = -2

Finally, we substitute this value of x back into the first equation to find y:

y = -7(-2)

y = 14

Therefore, the solution to the system of equations is x = -2 and y = 14.

Learn more about Substitution method here:

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Use a calculator to evaluate csc 3pi/14

Answers

We are asked to evaluate csc 3pi / 14. We first multiply 3 to pi. pi is a constant and equal to 3.1415. In this case, 3 pi is equal to 9.4248. We divide further the product by 14 equal to 0.6732. csc or cosecant is the inverse of sin. so we get first the sin of 0.6732 in radians equal to 0.6235. csc 3 pi/14 is equal to 1/0.6235 or 1.6.

What is the solution to the equation 3x-5=2x+8+x?A) identity ( many solutions)
b) no solution
c) x=0
d) x=2

Answers

So when solving this you are going to have to solve the equation.
Okay so first thing we need to do is simplify both sides of your equation so:
3x−5=2x+8+x
Simplifying process:
3x+−5=2x+8+x
Combine Like Terms ⇒ 3x−5=(2x+x)+(8)
3x−5=3x+8
3x−5=3x+8
Second thing we are now going to do is subtract 3x from both sides so:
3x−5−3x=3x+8−3x
−5=8
Final step is to add 5 to both sides:
−5+5=8+5
0=13
The answer to your question is "There are no solutions"

Help the image says it all

Answers

Answer:

use distance formula and solve it

Step-by-step explanation:

this formula is in co ordinate geometry class 10 ncert book

Answer:

5 sqrt(10) square units

Step-by-step explanation:

The coordinates of the points A, B, and C are (-6,-2), (2,-8), and (-4,-6), respectively.

To find the area of a triangle, we can use the following formula:

Area of a triangle = 1/2 * base * height

We can use the distance formula to find the length of the base, which is AB:

$d(A,B) = sqrt((x2 - x1)^2 + (y2 - y1)^2)$

Substituting the coordinates of A and B, we get:

$d(A,B) = sqrt((2 - (-6))^2 + (-8 - (-2))^2) = sqrt(64 + 36) = 10$

Now, we need to find the height of the triangle. The height of a triangle is the perpendicular distance from a vertex to the opposite base. In this case, we can draw a perpendicular line from C to AB:

[Image of triangle ABC with line segment CD drawn perpendicular to AB]

The length of CD is the height of the triangle. We can use the distance formula to find the length of CD:

$d(C,D) = sqrt(((-7) - (-4))^2 + (-5) - (-6))^2) = sqrt(9 + 1) = sqrt(10) \n$