Homework Help is Here – Start Your Trial Now!
Math
Statistics
What type of pattern exists in the data? O The time series plot shows a trend pattern with no seasonal pattern present. The time series plot shows a horizontal pattern, but there is also a seasonal pattern in the data.

What type of pattern exists in the data? O The time series plot shows a trend pattern with no seasonal pattern present. The time series plot shows a horizontal pattern, but there is also a seasonal pattern in the data.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
A statistical program is recommended. Consider the following time series. Quarter Year 1 1 2 3 4 70 50 58 77 Year 2 67 42 60 80 Year 3 61 52 53 71
Transcribed Image Text:A statistical program is recommended. Consider the following time series. Quarter Year 1 1 2 3 4 70 50 58 77 Year 2 67 42 60 80 Year 3 61 52 53 71
What type of pattern exists in the data? The time series plot shows a trend pattern with no seasonal pattern present. The time series plot shows a horizontal pattern, but there is also a seasonal pattern in the data. The time series plot shows a horizontal pattern with no seasonal pattern present. The time series plot shows a trend pattern, but there is also a seasonal pattern in the data. (b) Use the following dummy variables to develop an estimated regression equation to account for seasonal effects in the data: = = 1 if quarter 2, 0 otherwise; X3 1 if quarter 3, 0 otherwise. ŷ = X1 = 1 if quarter 1, 0 otherwise; X₂ (c) Compute the quarterly forecasts for next year. quarter 1 forecast quarter 2 forecast quarter 3 forecast quarter 4 forecast
Transcribed Image Text:What type of pattern exists in the data? The time series plot shows a trend pattern with no seasonal pattern present. The time series plot shows a horizontal pattern, but there is also a seasonal pattern in the data. The time series plot shows a horizontal pattern with no seasonal pattern present. The time series plot shows a trend pattern, but there is also a seasonal pattern in the data. (b) Use the following dummy variables to develop an estimated regression equation to account for seasonal effects in the data: = = 1 if quarter 2, 0 otherwise; X3 1 if quarter 3, 0 otherwise. ŷ = X1 = 1 if quarter 1, 0 otherwise; X₂ (c) Compute the quarterly forecasts for next year. quarter 1 forecast quarter 2 forecast quarter 3 forecast quarter 4 forecast
Expert Solution
Step 1

Type of pattern:

Excel Procedure:

  • Enter the time series values and quarter values in Excel.
  • Select the column of time series values in excel.
  • Go to insert.
  • Go to insert statistic chart.
  • click on ‘line chart’.

Excel Output:

Statistics homework question answer, step 1, image 1

Correct option is option 3

From the scatter plot, there is no horizontal in the data values.

That is, there exists a trend(increasing and decreasing) with seasonality.

Correct option: 

The time series plot shows a trend pattern, but there is also a seasonal pattern in the data.

 

 

steps

Step by step

Solved in 3 steps with 8 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

Solution is incorrect, can it be revised again please?

**(b)** Use the following dummy variables to develop an estimated regression equation to account for seasonal effects in the data: \[ x_1 = 1 \text{ if quarter 1, 0 otherwise; } x_2 = 1 \text{ if quarter 2, 0 otherwise; } x_3 = 1 \text{ if quarter 3, 0 otherwise.} \] \[ \hat{y} = 80.5 - 0.5625t - 11.6875x_1 - 29.125x_2 - 19.5625x_3 \] (incorrect) **(c)** Compute the quarterly forecasts for next year. - Quarter 1 forecast: 62 ❌ - Quarter 2 forecast: 44 ❌ - Quarter 3 forecast: 53 ❌ - Quarter 4 forecast: 72 ❌
Transcribed Image Text:**(b)** Use the following dummy variables to develop an estimated regression equation to account for seasonal effects in the data: \[ x_1 = 1 \text{ if quarter 1, 0 otherwise; } x_2 = 1 \text{ if quarter 2, 0 otherwise; } x_3 = 1 \text{ if quarter 3, 0 otherwise.} \] \[ \hat{y} = 80.5 - 0.5625t - 11.6875x_1 - 29.125x_2 - 19.5625x_3 \] (incorrect) **(c)** Compute the quarterly forecasts for next year. - Quarter 1 forecast: 62 ❌ - Quarter 2 forecast: 44 ❌ - Quarter 3 forecast: 53 ❌ - Quarter 4 forecast: 72 ❌
A statistical program is recommended. Consider the following time series. | Quarter | Year 1 | Year 2 | Year 3 | |---------|--------|--------|--------| | 1 | 70 | 67 | 61 | | 2 | 50 | 42 | 52 | | 3 | 58 | 60 | 53 | | 4 | 77 | 80 | 71 | This table presents a time series data set across three years, divided into four quarters. Each cell shows a numerical value, which represents the observed data in each corresponding quarter for each year.
Transcribed Image Text:A statistical program is recommended. Consider the following time series. | Quarter | Year 1 | Year 2 | Year 3 | |---------|--------|--------|--------| | 1 | 70 | 67 | 61 | | 2 | 50 | 42 | 52 | | 3 | 58 | 60 | 53 | | 4 | 77 | 80 | 71 | This table presents a time series data set across three years, divided into four quarters. Each cell shows a numerical value, which represents the observed data in each corresponding quarter for each year.
Solution
Bartleby Expert
SEE SOLUTION
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS