Consider the following time series. t 1 2 3 4 5 yt 6 10 8 13 15
(a) Choose the correct time series plot. (i) (ii) (iii) (iv) What type of pattern exists in the data?
(b) Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series. If required, round your answers to two decimal places. y-intercept, b0 = 4.1 Slope, b1 = 2.1 MSE = ????
(c) What is the forecast for t = 6? If required, round your answer to one decimal place. 16.7 I know how to do it all but the MSE.

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

t __1 2 3 4 5

yt_ 6 10 8 13 15

Using technology to produce a linear model :

The linear model obtained shows a positive linear pattern exist for the time series data :

The parameters for the line that minimizes MSE for the then series is :

y = 2.1t + 4.1

Where, slope = 2.1 ; intercept = 4.1

The mean squared error :

Sum of squared estimate of error = 9.1

Mean squared error = √9.1

Mean squared error = 3.02

Forecast for t = 6

y = 2.1t + 4.1

y = 2.1*6 + 4.1

y = 12.6 + 4.1

y = 16.7


Related Questions

A rectangle is 9 inches long and 3x inches wide. The value of the perimeter (in inches) is equal to the value of the area (in square inches).
Find x

Answers

Answer:

3

Step-by-step explanation:

The perimeter of the rectangle is equal to the doubled sum of the sides, and the area is equal to the product of the sides. So we have the following equation

X is 3, hope that helps!

Help me please and thank you

Answers

Answer:

A

Step-by-step explanation:

Solution is in this picture.

The circle above has a radius of 7 cm. What is the area of the circle

Answers

Answer:

153.86 cm²

Step-by-step explanation:

Area circle = πr²

Area = 3.14 * 7²

Area = 3.14 * 49

Area = 153.86

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Name a pair of complementary angles in the diagram above.
21 and 22
Z2 and 23
24 and 25
0 27 and 29

Answers

Answer:

7&9

Step-by-step explanation:

Really, its just because, that's my explanation.

There is a mound of g pounds of gravel in a quarry. Throughout the day, 200 pounds of gravel are added to the mound. Two orders of 600 pounds are sold and the gravel is removed from the mound. At the end of the day, the mound has 1,400 pounds of gravel.

Write the equation that describes the situation. Then solve for g.

Answers

Answer:

g + 200 - 2*600 = 1400

g = 2400 pounds

Step-by-step explanation:

g + 200 - 2*600 = 1400

g + 200 - 1200 = 1400

g - 1000 = 1400

g = 2400

Please help!! This is timed!!

Answers

The answers are options 2,3, and 4.

help me please geometry!!

Find the missing side length.

Answers

Set up a ratio:

16/12 = 28/?

Cross multiply:

16? = 12 x 28

16? = 336

Divide both sides by 16:

? = 336/16

? = 21

Is the figure line symmetric? If yes, how many lines of symmetry does the figure have?
Yes
A.No
B. Yes;3 lines of symmetry
C.Yes;6 lines of symmetry
D.Yes; 12 lines of symmetry
Please help. This is due today​

Answers

Answer:

yes 6 lines are symmetry

If f(x) is a third degree polynomial function, how many distinct imaginary roots are possible?​

Answers

Answer:

1, 2, or 3

Step-by-step explanation:

if it's third degree then there must me 1 to 3 roots

hope you find this helpful :)

Answer: 0 or 2

Step-by-step explanation:

took test on edge2020

You are told that a random sample of 150 people from Manchester New Hampshire have been given cholesterol tests, and 60 of these people had levels over the "safe" count of 200. Construct a 95% confidence interval for the population proportion of people in New Hampshire with cholesterol levels over 200.

Answers

Answer:

The 95% confidence interval for the population proportion of people in New Hampshire with cholesterol levels over 200 is (0.3216, 0.4784).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

You are told that a random sample of 150 people from Manchester New Hampshire have been given cholesterol tests, and 60 of these people had levels over the "safe" count of 200.

This means that [tex]n = 150, \pi = \frac{60}{150} = 0.4[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4 - 1.96\sqrt{\frac{0.4*0.6}{150}} = 0.3216[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4 + 1.96\sqrt{\frac{0.4*0.6}{150}} = 0.4784[/tex]

The 95% confidence interval for the population proportion of people in New Hampshire with cholesterol levels over 200 is (0.3216, 0.4784).

Find the margin of error for the 95% confidence interval used to estimate the population proportion. )n=460, x=60

Answers

Is there a picture ?

Which is the graph of an even monomial function?

Answers

Answer:

The graph of an even function is symmetric about the y-axis. The graph of an odd function is symmetric about the x-axis. It is possible that the use of these two words originated with the observation that the graph of a polynomial function in which all variables are to an even power is symmetric about the y -axis.

What is the volume of the solid whose cross- sections are circular disks perpendicular to the x-axis and with diameters on the region bounded by the curves y = x and y=x^2?

Answers

Answer:

the volume of the solid is [tex]\frac{\pi }{120}[/tex]

Step-by-step explanation:

Given the data in the question;

y = x and y = x²

so

x = x²

x - x² = 0

Radius will be; r = ( x - x² )/2

Area of the circular disk πr² = π[ ( x - x² )/2 ]²

A = [tex]\frac{\pi }{4}[/tex]( x - x² )²

So, our volume will be;

V = ₀∫¹ A(x) dx

we substitute

= ₀∫¹ [tex]\frac{\pi }{4}[/tex]( x - x² )² dx        

{ lets expand; ( x - x² )² = x(x-x²) -x²(x-x²) = x² - x³ - x³ + x⁴ = x² + x⁴ - 2x³  }

so we have;

=  ₀∫¹ [tex]\frac{\pi }{4}[/tex]( x² + x⁴ - 2x³ ) dx  

= [tex]\frac{\pi }{4}[/tex] [tex][[/tex] [tex]\frac{x^3}{3}[/tex] + [tex]\frac{x^5}{5}[/tex] - [tex]\frac{2}{4} x^4[/tex] [tex]]^1_0[/tex]

= [tex]\frac{\pi }{4}[/tex][ [tex]\frac{1}{3}[/tex] + [tex]\frac{1}{5}[/tex] - [tex]\frac{2}{4}[/tex] ]

= [tex]\frac{\pi }{4}[/tex][ [tex]\frac{1}{30}[/tex] ]

V = [tex]\frac{\pi }{120}[/tex]

Therefore, the volume of the solid is [tex]\frac{\pi }{120}[/tex]

4m + 18 is called a
What expression

Constant
Term
Variable expression
Coefficient

Answers

Answer and Step-by-step explanation:

4m + 18 is an expression.

This is because it has terms and no equal/inequality sign.

#teamtrees #PAW (Plant And Water)

Answer: Constant

Step-by-step explanation: Its an Constant because every variable is different in the expression.

Help please please please

Answers

Answer:

demographic

Step-by-step explanation:

NO LINKS!!!!

Create a table and graph the function.
1. y = (x + 3)^2 + 2


2. y = 2(x - 2)^2 - 4

Answers

Hope this help!!!

Have a nice day!!!

36 apples cost $6. how many apples can you buy for $1?

Answers

Answer:

16 cents

Step-by-step explanation:

6 divided by 36 = 0.16666667


A department store buys 100 shirts at a cost of $2000 and sells them at a selling price of $25 each. Find the percent markup.

Answers

Answer:

Mark up % = 25%

Step-by-step explanation:

Cost of 100 shirts = 2000

Cost of 1 shirt = 2000/100 = 20

Selling price of  1shirt = 25

[tex]\% mark \ up = \frac{selling \ price - cost \ price }{cost \ price } \times 100 = \frac{25- 20}{20}\times 100 = \frac{5}{20} \times 100 = 25 \%[/tex]

determine whether the variable is qualitative or quantitative
street name and adress

Answers

Answer:

C

Step-by-step explanation:

Street name has nothing to do with numerical values, therefore it cannot be quantitative. If we take the two qualitative answers left, one of them says something about numbers, so it cannot be that one. C is the only one left over after process of elimination.

Solve the inequality 0>_3x-2x

Answers

Answer:

x<0

Step-by-step explanation:

See image below:)

What’s the standard form for 1,000,000+80,000+30+3

Answers

Answer:

1080033

Step-by-step explanation:

Answer:  1,080,033

=========================================

Explanation:

1,000,000 = 1 million

80,000 = 80 thousand

Adding those two would get us

1,000,000+80,000 = 1,080,000

Then we change those last two zeros at the end of "1,080,000" to 33 instead to get the final answer  1,080,033. This is done because we're adding 30+3 = 33 at the end.

----------------------

Extra info:

The number 1,080,033 is slightly over 1.08 million1,080,033 = 1 million, 80 thousand, 331,080,033 = one million, eighty thousand, thirty-threeThe use of commas between the words is optional. It's to give a sense of the pacing or pauses when reading out the number.


Angles ABC and DBE are vertical angles. If m A. 180°
B. 38°
C. 52°
D. 128°

Answers

I think that the answer is b

PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

9514 1404 393

Answer:

  (c) reflection about x-axis, shift right 1

Step-by-step explanation:

The transformation g(x) = p·f(x-h) causes the graph of the function f(x) to be shifted right by h units. It also causes the graph to be vertically scaled by the factor 'p'. When p is negative, the graph is also reflected across the x-axis.

Here, we have p=-2, h=1, so the graph is ...

reflected across the x-axisvertically stretched by a factor of 2shifted right 1 unit

This collection of transformations matches the 3rd choice.

_____

Additional comment

The +3 inside parentheses (square brackets) causes the graph to be shifted upward 3 units--before it is reflected and vertically scaled. The reflection across the x-axis causes that upward shift to look like a downward shift, and the vertical stretch causes that shift of 3 units to become a shift of 6 units. (All answer choices agree that the downward shift is 6 units, so we didn't really need to discuss that.)

Tom has a steel box that has a capacity of 5 gallons. What is the maximum amount of fluid, in quarts, that this box can hold?
A. 10 qt.
B. 15 qt.
C. 18 qt.
D. 20 qt.

Answers

Answer:

d. 20 qt.

Step-by-step explanation:

4 quarts to a gallon so 4x5= 20

The answer is D

If 4 quarts = 1 gallon, then 5 gallons = 20 quarts
For example, 1/4 = 5/20

Express the shaded area as a fraction, a decimal, and a percent of the whole.

Fraction:
Decimal:
Percent:

Answers

Answer:

3/10 30%.3

hooe its write

Find the simple interest earned to the nearest cent, for the principal, interest rate, and time.
$340, 4%, 1 year
Pls

Answers

%8 of the merchandise is so the principle buys 8%

Radius for cylinder is 4cm height 14.6 cm what is the volume

Answers

Answer:

V≈733.88cm³

Step-by-step explanation:

Thank you

4 is a common factor of 28 and 32.
O A. True
O B. False

Answers

Answer:

True

Step-by-step explanation:

Answer:

Your answer is B

Step-by-step explanation:

Dawn has less than $60. She wants to buy 3 sweaters. What price of sweaters can she afford if all the sweaters are the same price? Let s be the price of each sweater. Write this as an inequality.​


(s will be the variable)

Answers

Answer: s < $20

Step-by-step explanation:

Since Dawn has less than $60 and wants to buy 3 sweaters, then the price of sweaters that she can afford if all the sweaters are the same price will be:

(3 × s) < $60

where,

s = price of each sweater

3s < $60

Divide both side by 3

3s/3 < $60/3

s < $20

The price of each sweater is less than $20

NEED HELP ON THIS ASAP PLZ!! (Marking BRAINLIST) :D​

Answers

Answer:

sin θ = 12 / 13

Step-by-step explanation:

Given that :-

A right triangle having

Hypotenuse = 13

adjacent side ( Base ) = 5

Opposite side ( perpendicular ) = ?

To Find :-

sin θ

Solution :-

Firstly ,we need to find opposite side ( missing side ) of triangle

Using Pythagorean theorem

a ² + b ² = c ²

Where, a and b is the base and c is the height of triangle.

substitute the value

( 5 ) ² + ( b) ² = ( 13 ) ²

evaluate the exponent

25 + b² = 169

subtract 25 from each side

25 - 25 + b² = 169 - 25

b ² = 144

Take the square root of each side

√b² = √144

b = 12

Hence , opposite side , b = 12

And , Finding sin θ

sin θ = opposite side / hypotenuse

sin θ = 12 / 13

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