Knowee
Questions
Features
Study Tools

Assume you collected a quarterly sales data (in millions of dollars) over a four-year period from the first quarter 2016 to the fourth quarter 2019, and computed the seasonal index for each quarter. If the (normalised) seasonal index for the third quarter is 0.96, then we can interpret it as follows. a. In the third quarter, sales are 4% below the annual average. b. There is a 96% difference in sales between the third quarter and the fourth quarter. c. In the third quarter, sales are 96% below the annual average. d. There is a 4% difference in sales between the first quarter and the third quarter.

Question

Assume you collected a quarterly sales data (in millions of dollars) over a four-year period from the first quarter 2016 to the fourth quarter 2019, and computed the seasonal index for each quarter. If the (normalised) seasonal index for the third quarter is 0.96, then we can interpret it as follows.

a. In the third quarter, sales are 4% below the annual average. b. There is a 96% difference in sales between the third quarter and the fourth quarter. c. In the third quarter, sales are 96% below the annual average. d. There is a 4% difference in sales between the first quarter and the third quarter.

...expand
🧐 Not the exact question you are looking for?Go ask a question

Solution

The correct interpretation of the normalized seasonal index for the third quarter being 0.96 is:

a. In the third quarter, sales are 4% below the annual average.

This is because a seasonal index is a measure of seasonal variation--a change in a variable that occurs at specific regular intervals less than a year. A seasonal index of 0.96 for the third quarter means that sales in this quarter are typically 96% of the average quarterly sales for the year, or equivalently, 4% below the annual average.

The other options are incorrect. The seasonal index does not provide information about the difference in sales between different quarters (options b and d), and an index of 0.96 means sales are 4% below the average, not 96% below (option c).

This problem has been solved

Similar Questions

Assume you collected a quarterly sales data (in millions of dollars) over a four-year period from the first quarter 2016 to the fourth quarter 2019, and computed the seasonal index for each quarter. If (actual) sales were 221 in the fourth quarter of 2018 and the (normalised) seasonal index for the fourth quarter was 0.98, what is the deseasonalised sales value (in millions of dollars) in the fourth quarter of 2018? Round your answer to two decimal places.

Assume you first collected a quarterly sales data (in millions of dollars) over a four-year period from the first quarter 2016 to the fourth quarter 2019 then computed (the normalised) seasonal index for each quarter using ratio-to-moving-average method, and finally fitted a linear trend model based on the deseasonalised sales data and a time period (X), coded as 0, 1, ......, n. If the estimated coefficients of the intercept and X (time period) are 153.93 and 6.01, respectively, what is the seasonally adjusted forecast value of sales (in millions of dollars) for the third quarter of 2020? Round your final answer to two decimal places. Assume the (normalised) seasonal indices for the quarterly sales data are 1.04, 1.02, 0.96 and 0.98 for quarters 1, 2, 3 and 4, respectively.

Following is the sale record of a product in year 2020:Spring = 1,083 unitsSummer = 1,224 unitsFall = 948 unitsWinter = 591 unitsRequired: Determine Seasonality Index for Winter?

It has been established in the lecture that December is the seasonal trough for this time series data. That is, December index values are smaller than other months of the year, with the trend having been accounted for. Which TWO of the following statements are FALSE?a.The analysis is false, as the seasonal effect from the month of December is largest amongst all twelve months, estimated at 103.81b. At the 5% significance level, only the seasonal components from May to October (six months inclusive) are statistically larger than that of December.c.At the 5% significance level, only the seasonal components from June to October (five months inclusive) are statistically larger than that of December.d.The seasonal effect from the month of December is included as part of the intercept in this regression model.

The following data represents quarterly sales of lawnmowers.Year Quarter 1 Quarter 2 Quarter 3 Quarter 41 150 140 190 1652 160 148 210 175What is the seasonal factor for the third quarter? (Round to the nearest hundredth.)Group of answer choices.30.20.22.26

1/1

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.