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Ulleksa [173]
3 years ago
11

If the errors produced by a forecasting method for 3 observations are +3, +3, and −3, then what is the mean squared error?

Mathematics
1 answer:
KiRa [710]3 years ago
5 0

Answer:

9

Step-by-step explanation:

The mean squared error (MSE)of a set of observations can be calculated using the formula :

(1/n)Σ(Actual values - predicted values)^2

Where n = number of observations

Steps :

Error values of each observation (difference between actual and predicted values) is squared.

Step 2:

The squared values are summed

Step 3:

The summation is the divided by the number of observations

The difference between the actual and predicted values is known as the ERROR.

(1/n)Σ(ERROR)^2

n = 3

Error = +3, +3, - 3

MSE = (1/3)Σ[(3)^2 + (3)^2 + (-3)^2]

MSE = (1/3) × [9 + 9 + 9]

MSE = (1/3) × 27

MSE = 9

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If the domain of a function that is reflected over the x-axis is (1, 5), (2, 1), (-1, -7), what is the range?
Tju [1.3M]

Answer:

A. (1, -5), (2, -1), (-1, 7)

Step-by-step explanation:

Reflecting a function over the x-axis:

When a function is reflected over the x-axis, the x-value stays the same, while y changes the signal, so the transformation rule is:

(x,y) \rightarrow (x,-y)

To find the range:

We apply the transformation to the points in the domain. Thus:

(1,5) \rightarrow (1,-5)

(2,1) \rightarrow (2,-1)

(-1,-7) \rightarrow (-1,-(-7)) = (-1, 7)

Thus the correct answer is given by option a.

6 0
3 years ago
after every eighth visit to a restaurant you receive a free beverage.after every tenth visit you receive a free appetizer. if yo
Alik [6]

On the 40th and the 80th you will receive both a free beverage and a free appetizer. You can find this by simply finding the multiples of both number up to 100 (or a little more than 100) to find out on which dates you'd get bothe an appetizer and beverage for free. Here are the multiples of both, to prove this answer.

  • 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104.
  • 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100.

Thus making 40 and 80 the answers. I hope this helps!

3 0
3 years ago
(3,2) and (4,9) = y=7x-19 or y=7x+21
Mumz [18]

When solving for this problem, replace x with the first coordinate and solve. if the answer is what you have for the second, it is correct. The first number in an ordered pair is your x and the second is your y. So I would rewrite the equation like this and solve.

          y=7x-19                                            y=7x+21

2=7(3)-19         9=7(4)-19                2=7(3)+21       9=7(4)+21    

2=21-19            9=28-19                 2=21+21          9=28+21

2=2                   9=9                       2=42               9=49

as you can see it is the first equation.

3 0
3 years ago
Solve and check: 5/3z = 15
irga5000 [103]
The answer to 5/3z is 15
8 0
3 years ago
A book store is hosting a special night in which families can enjoy a story and craft time. Tickets to the event must be purchas
andreyandreev [35.5K]

A book store is hosting a special night in which families can enjoy a story and craft time. The ticket have been sold so far would be 75.

<h3>What is the unitary method?</h3>

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have given that 45 children's tickets have been sold, being 60% of the total tickets having been sold.

So, we have to solve for x:

60% × x = 45

60/100 × x = 45

Multiplying both sides by 100 and dividing both sides by 60,

x = 45 × 100/60

x = 75

Thus, the ticket have been sold so far would be 75.

Learn more about the unitary method;

brainly.com/question/23423168

#SPJ1

7 0
2 years ago
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