Sales forecasting: teaching with naive approaches.
Melancon, Melissa V. ; Babin, Laurie A.
INTRODUCTION
Projecting income statements and balance sheets is a key element in
planning expenditures and arranging appropriate financing sources for a
business. The usefulness of these projections is dependent upon the
accuracy of sales' estimates. Most business courses, including
introductory corporate finance, give only cursory attention to teaching
students how to estimate sales' growth; many textbooks ignore
sales' forecasting or treat expected sales as an automatically
generated figure. Other sources suggest using multiple regressions,
logit, probit, or curvilinear models to predict sales (West, 1994).
Students are left in a quandary as to how to estimate future sales for
business decisions.
Explosive growth in information technology and affordable, graphics
driven computers exacerbate the confusion about sales forecasting. Many
users embrace the erroneous belief that a sales forecast is a computer
function and not a decision process. Lacking both a thorough
understanding of the forecasting process and the skills to develop
practical projections, students may use subjective measures or skip the
forecasting part of planning. This knowledge gap leaves many
underprepared to make critical business decisions affecting production,
marketing, and financing. Easy to use computers and software programs
may result in decreased accuracy as many forecasters misuse or
misunderstand how to use the programs (McCarthy, 2006).
The purpose of this study is to present several simple (naive)
methods that can be used as a foundation for teaching sales forecasting.
The techniques lack statistical sophistication and are admittedly not as
accurate as more complex methods; however, the projections provide
students and with a foundation for learning to project sales to create
sales driven financial statements.
LITERATURE REVIEW
Sales forecasting has been a topic of academic research for decades
(Dalrymple, 1975, 1987; Mentzer & Cox, 1984; Mentzer & Kahn,
1995). The advent of computers has increased the number and complexity
of sales forecasting models (Dalrymple, 1975). However, although
researchers agree upon the importance of sales forecasting, there is
little consensus upon which methods are best to use in teaching this
valuable skill.
Myriad subjective approaches to projecting sales exist, such as
sales force composition, customer expectations, and life cycle analysis
(see Mentzer & Cox, 1984; Mentzer & Kahn, 1995: McCarthy, 2006).
These judgment-based approaches rely on experienced salespeople and
managers to predict the demand and to recognize trends in the markets.
Students have not yet developed a knowledge base to draw upon in making
inferences about demand, economic conditions, production capabilities,
and marketing. Subjective approaches would be of limited value to this
group. Supplementing these techniques with quantitative measures
provides additional information.
Quantitative measures evolved from assuming constant sales to using
an average of past sales data and then employing more complex
statistical modeling techniques to account for seasonality, the cyclical
nature of business, and other economic factors. The "bottom
up" approach suggests interviewing customers and using past sales
data to generate the next year's sales (Tichenor & Davis,
2009). Others suggest that sales forecasts include wide-ranging input
sources, utilize multiple approaches, and include more objective
techniques for projections. This was especially true when the forecasts
were reviewed by top management (Ando, 2008; West, 1994). However,
recent crises led many to conclude that historical sales and time series
data are no longer fair proxies for future consumer behavior (Currie
& Rowley, 2010).
Researchers and practitioners developed multiple approaches and
adjustments to improve the accuracy of forecasts. Kumar and Patel (2010)
cite National Retail Federation reports indicating forecast errors cost
U.S. retailers about $200 billion annually. The authors use this
economic justification to test clustering sales of multiple retail items
into an aggregate sales forecast for the grouping as a means of reducing
forecast error associated with individual items. Findings support use of
this method to increase the efficiency of sales forecasting. Siriram and
Snaddon (2010) test the accuracy of sales forecasts for information
technology equipment using linear regression, logistics regression, and
Bass curves. The authors conclude that logistics regression using the
mean average percentage error was the best method to project new product
sales. The results could be improved by including measures that account
for market size and demographics, customer service, and technological
development.
High technology industries have quick turnover and rapid
innovation. Diffusion models and utility theory have been applied to
develop a sales forecasting model for this market. A logistics approach
is incorporated to measure the accuracy of sales projections for the CD
and DVD market. One study suggests that the model improves the accuracy
of the sales forecasts by incorporating factors that affect individual
buying decisions without adding undue complexity. Further, the model
does not require significant econometric expertise (Decker &
GnibbaYukawa, 2010). Further adjustments seemed to improve accuracy.
However, the increased complexity of these techniques may be
overwhelming to students learning the process.
Sales forecasting's impact on functional areas of the firm is
evidenced by the market in the aftermath of the recent financial crisis.
Retailers and researchers are reeling; previous models of consumer
behavior failed. Adjusted earnings forecasts are given more credence by
markets when buttressed by sales forecasting. Use of multiple methods is
indicated by both researchers and practitioners (Keung, 2011).
Using data derived from several methods can reduce forecast error.
One approach is to measure the mean absolute percentage accuracy of
sales force participation, consumer sales data from point of sales
terminals, and forecasts for inventory orders instead of the error in
the measurement. This measure is refined by assigning probability
estimates for acceptance to the forecasts as well as more reliance on
statistical modeling. Markedly improved forecasting was the result of
this hybrid method (Gallucci, Fall 2007).
Examining the number and variety of forecasting methods used shows
reluctance among actual preparers to use more complex models (Mentzer
& Cox, 1984). Therefore, teaching students to use simple models may
overcome this reluctance and build confidence in using more
sophisticated techniques. Financial statements for Killing-M-Softly
Exterminator Company found in Tables 1, 2, and 3 provide data used to
illustrate each of the methods.
SALES FORECASTING METHODS
Constant Sales
The simplest way to project sales is to assume that sales will be
unchanged from the previous year. This naive method is easy and may be
an accurate process as long as sales remain consistent over time.
However, large period-to-period variability (e.g. seasonal sales) or
constant growth in sales requires application of more refined estimation
techniques (Cornett, Adair, & Nofsinger, 2011). Expected sales for
any future time are determined by:
E([Sales.sub.t+k]) = Sales [.sub.t]For all k > 0
Using the sales data provided in the Table 1 and assuming constant
sales, the projection for 2011 sales would be $315,350.00 which is what
sales were for 2010. The limitation of this method is that it fails to
account for the impact of firm or systematic shocks from the economy.
Additionally, there is no adjustment for inflation or firm specific
changes.
Average Historical Sales
Using average historical sales as a predictor of future sales is a
relatively easy forecasting approach. This technique improves upon the
constant sales approach by including more data. Statistically, an
average may more closely represent the expected value. Whether weekly,
monthly, or annual sales are used, more data points are assumed to be
better estimators of the population parameter. Therefore, the number of
periods of historical sales should be as large as possible to minimize
the forecast error. The time period may be adjusted if a shift in
historic sales has occurred. For the uninitiated, a rule of thumb would
be to use the number of periods in one business cycle. Business cycles
are not deterministic values; expansions and recessions occur at
irregular intervals and last for varying periods that are dated
according to when business activity changes direction (Romer, 2008).
Business cycles have been as short as one year and as long as eight
years (Romer, 2008). This uncertainty may cause anxiety for neophyte
forecasters. One suggestion or convention may be to use about ten years
of data to create the estimate. This would reflect at least one business
cycle for the firm.
Expected sales would be determined by:
([Salese.sub.t+k]) = [[SIGMA].sup.n.sub.k][sales.sub.t] for all
k>0
Thus, the average of the ten years of sales figures in our example
is $264,281. This technique's major flaw is that outlier years can
severely distort the average. Additionally, the average may not reflect
economic conditions or potential growth in the firm.
Average Percentage Change in Sales
Average percentage change in sales has an intuitive appeal to users
who feel more confident using percentages of growth. In this approach
using a sample of ten years of data capture economic changes that affect
the firm individually and the market in aggregate. The percentage change
from one year to the next is calculated as:
% Change in Sales = Ending Sales / Beginning Sales -1
Average Percentage Change = [[SIGMA].sup.n.sub.1] % Change in
Sales/N
This technique provides users with an estimate of an average growth
that can be expected in the next year. In the example:
Average Percentage Change in Sales
Year Sales % change
2002 $240,000.00
2003 $255,000.00 0.06250
2004 $245,400.00 -0.03765
2005 $253,450.00 0.03280
2006 $240,000.00 -0.05307
2007 $260,550.00 0.08563
2008 $271,600.00 0.04241
2009 $297,180.00 0.09418
2010 $315,350.00 0.06114
Average Percentage Change 0.03559
New sales would be expected to be 3.559% higher than in 2010. Thus,
the forecast for new sales would be = 315,350*1.035579 = $334,630.94.
Note that this method loses a data point.
Present Value
Given a series of historical sales, an average compounded growth
rate can be generated using the present value of a single sum. This
method uses the first sales amount as the present value and the final
sales amount is considered to be the future value. The number of periods
is equal to (n-1) periods since the first sales figure represents time
period zero. Solving for an interest rate using a financial calculator,
a spreadsheet program, or using mathematics is a quick process. The
interest rate calculated is a proxy for the periodic growth rate. The
compounded
sales growth rate would be g = [(FV/PV).sup].1/n -- 1 for all n
> 0. For the sample data the growth rate is
equal to[(315350/240000).sup.1/8] - 1 = g = 1.[31396.sup.125] -1
=.03472 =.03472= 3.742%. Therefore, new sales
would be predicted as $315,350 *(1.03742) = $326,298.84. The
limitation of using this approach is that an endpoint that is positively
or negatively skewed will provide a skewed growth rate that may not
truly reflect the changes in sales.
ROE Method
The return on equity method estimates the amount of growth that a
firm can maintain without changing its capital structure. Capital
structure is the amount of debt and equity financing used by the firm
(Higgins, 1977). See table 2 for the calculations of ROE and retention
ratios. The ROE growth rate is calculated as
G = ROE * Retention Ratio
The growth rates are:
ROE RR G %
2002 0.5899 0.1152 0.0680 6.80%
2003 0.5601 0.1425 0.0798 7.98%
2004 0.4654 -0.0614 -0.0286 -2.86%
2005 0.4890 -0.0201 -0.0098 -0.98%
2006 0.3117 0.0204 0.0064 0.64%
2007 -0.5912 1.0000 -0.5912 -59.12%
2008 -3.8613 1.0000 -3.8613 -386.13%
2009 0.6118 1.0000 0.6118 61.18%
2010 0.4513 1.0000 0.4513 45.13%
The nine year average using the ROE method to project sales
indicates that sales in 2011 would decline by 36.37%. Thus, sales for
2011 would be expected to be $315,350(1.0 .3637) = $200,657.21. As
illustrated by this example, sales may decline over time. This method is
preferred by practitioners for ease of use and relative accuracy.
However, the use of this technique alone may not provide sufficient
confidence for managerial decisions. There may be a tendency for
managers to manipulate either the ROE or the dividend payout to inflate
sales growth. The use of multiple methods may alleviate this concern.
Sustainable Growth Rate
The sustainable growth rate is the amount by which the assets of
the firm can grow without changing its capital structure (see Higgins,
1977 for a full discussion of this issue). This is an alternative to the
ROE method and is calculated as follows:
9 = ROE* (1- D)/l - [ROE* (l-D)]
The sustainable growth rates for Killing-M-Softly Exterminators are
as follows:
ROE RR ROE*RR
2002 0.5899 0.1152 0.0680
2003 0.5601 0.1425 0.0798
2004 0.4654 -0.0614 -0.0286
2005 0.4890 -0.0201 -0.0098
2006 0.3117 0.0204 0.0064
2007 -0.5912 1.0000 -0.5912
2008 -3.8613 1.0000 -3.8613
2009 0.6118 1.0000 0.6118
2010 0.4513 1.0000 0.4513
1-(ROE*RR)SGR SGR %
2002 0.9320 0.0729 7.2936%
2003 0.9202 0.0868 8.6764%
2004 1.0286 -0.0278 -2.7770%
2005 1.0098 -0.0098 -0.9753%
2006 0.9936 0.0064 0.6407%
2007 1.5912 -0.3715 -37.1540%
2008 4.8613 -0.7943 -79.4293%
2009 0.3882 1.5757 157.5661%
2010 0.5487 0.8224 82.2374%
The average of this nine year period would provide an estimated
growth rate of 15.12%. Proforma sales for 2011, then, would be 315350
*(1.1512) = $ 363,030.42.
Simple One Variable Regression (Linear Trends)
Least squares regression fits the sales figures to a line in which
the squared distance from the line is minimized. Predicting sales by
this technique is limited by the sample size. Predicting sales with past
sales, we get:
Sales = [alpha] + [beta][Years.sub.i] + [epsilon]
The equation of the line predicting sales is Sales = [alpha] +
[beta][Years.sub.i] + [epsilon]. Using this method, sales for 2011 would
be =8124 (10) + 221,661= $304,901. See table 4 for full regression
results including p-values.
DISCUSSION AND CONCLUSIONS
Estimates of sales for the next year based on these methods ranged
from $200,643.25 to $363,030.42. The best estimate for 2011 would be the
average sales from all of the methods. Research indicates that using
multiple methods provides greater accuracy in predicting future sales
(Gallucci, 2007; Keung, 2011). For this example, the average new sales
would be $291,830.95.
Although sales forecasting accuracy is deemed a crucial driver for
future business decisions, methods suggested in recent literature
involve complex models or statistical approaches. Many students have
neither the access to these complex modeling programs nor the ability to
use such systems. While the methods demonstrated here have limited
accuracy, they do offer simple approaches to predict future sales
growth. These provide a foundation for teaching sales forecasting. In
turn, students will learn to develop proforma financial statements that
will enable better decisions about production, marketing, and financing
in business.
LIMITATIONS OF THE STUDY
Several limitations exist in this study. Projecting sales using the
assumption that sales are flat does not reflect changes in the economy
nor does this method incorporate growth by the firm. The average of
sales and the average historical percentage change in sales methods are
easily skewed by an outlier, while the present value method may be
skewed by an endpoint that is very large or very small. Using a single
variable regression in which sales are assumed to be a function of time
does not account for seasonality of sales, market shocks or firm
specific variables such as advertising, in leverage or operational
efficiency. Further, the limited number of data points used in most
sales regression models may not provide sufficient data points for
fitting the least squares line estimate. A greater error is possible
using this technique.
The ROE method and the sustained growth rate technique incorporate
the projected retained earnings if the firm maintains its current
capital structure. The leverage in the firm (amount of debt) is
incorporated into these methods. These techniques are subject to
manipulation by management because the calculation for ROE can be
altered by what is used as net income and how total equity is defined.
RECOMMENDATONS FOR FUTURE RESEARCH
Future research would include expanding the study to survey the
actual sales projection methods used by businesses and practitioners. In
this way, teaching methods would focus on the techniques used. This
would ensure that the material covered in classes is relevant for the
current business climate and enhances the business education students
receive.
This work should be extended to incorporate the development of the
proforma financial statements. The combination of the sales projections
and the creation of the projected statements would provide a basis for
teaching students to analyze the financial health of the firm. This
would create opportunities for students to practice critical thinking
and decision making to determine whether to undertake capital budgeting
projects, what capital structure should be maintained for the firm, and
what would be the best ways to obtain needed financing. All of these
areas of corporate finance are critical in efficiently and effectively
managing a firm to maximize its value.
REFERENCES
Ando, T. (2008, September 2). Measuring the baseline sales and the
promotion effect for incense products: a Bayesian state-space modeling
approach. Annual Institute of Statistical Mathematics, 60, 763-780.
Cornett, M. M., Adair, Jr., T. A., & Nofsinger, J. (2012).
Finance Applications and Theory. New York: McGraw-Hill Irwin.
Currie, C. S., & Rowley, I. T. (August 2010). Consumer
behaviour and sales forecast accuracy: What's going on and how
should revenue managers respond? Journal of Revenue & Pricing
Management, 9(4), 74-76.
Dalrympe, D. J. (1987). Sales forecasting practices: resultw from a
United States survey. International Journal of Forecasting, 3, 379-91.
Dalrymple, D. J. (December 1975). Sales forecasting methods and
accuracy. Business Horizons, 18, 69-73.
Decker, R., & Gnibba-Yukawa, K. (2010). Journal of Product
Innovation Management, 27, 115129.
Gallucci, J. A. (Fall 2007). How to Improve Forecasts with Hybrid
Forecast Inputs. Journal of Business Forecasting, 1417.
Higgins, R. C. (1977). How much can a firm afford to grow?
Financial Management, 6(3), 7-16.
Keung, E. C. (2011, November). Do suplementary sales forecasts
increase the credibility of financial analysts' earnings forecasts?
Accounting Review, 85(6), 2047-2074.
Kumar, M., & Patel, N. R. (February 2010). Using clustering to
improve sales forecasts in retail merchandising. Annals of Operations
Research, 174(1), 33-46.
McCarthy, T. D. (2006). The evolution of sales forecasting
management: A 20-year longitudianl study of forecasting practices.
Journal of Foreasting, 25, 303-324.
Mentzer, J. T., & Cox, J. E. (1984). Familiarity, application,
and performance of sales forecasting technieuqes. Journal of
Forecasting, 3(1), 27-36.
Mentzer, J. T., & Kahn, K. B. (1995). Forecasting technique,
familiarity, satisfaction, usage, and applicaion. Journal of
Forecasting, 14, 465-476.
Romer, C. D. (2008). Business Cycles. Retrieved October 17, 2011,
from The Concise Encyclopedia of Economics:
http://www.econlib.org/library/Enc/BusinessCycles.html
Siriram, R., & Snaddon, D. R. (May 2010). Forecasting new
product sales. South African Journal of Industrial Engineering, 21(1),
123-135.
Tichenor, C., & Davis, B. (2009, November). Improving the
Quality of Foreign Military Sales using Benford's Law. The Defense
Institute of Security Assistance Management Journal, 184-189.
West, D. C. (1994). Number of Sales Forecast Methods and Marketing
Management. Journal of Forecasting, 13, 395-407.
About the Authors:
Laurie A. Babin is a professor of marketing and holds the Abell
Endowed Entrepreneurship Professorship in the College of Business
Administration at the University of Louisiana at Monroe. She received
her Ph.D. from Louisiana State University in 1992 and was at The
University of Southern Mississippi for sixteen years before joining the
faculty at the University of Louisiana at Monroe in 2007. Dr. Babin has
published articles in several national and international journals and
conference proceedings.
Melissa V. Melancon is an assistant professor of finance at ULM
with a DBA in finance from Louisiana Tech University. She has CFM and
CMA certifications and is currently pursuing a Charter Financial Analyst
designation. Dr. Melancon holds the Chase Bank research fellowship.
Current research interests include ethics, pedagogical research,
teaching technologies, and corporate finance. She is developing new
research in motivations for ethical decision making. Dr. Melancon has
published articles in national journals and conference proceedings.
Melissa V. Melancon
Laurie A. Babin
University of Louisiana at Monroe
Table 1
Killing-M-Softly Exterminator Company Income Statements
Income
statement 2002 2003 2004
Sales $240,000.00 $255,000.0 $245,400.0
COGS $162,000.00 $172,200.00 $174,240.00
Gross Profit $78,000.00 $82,800.00 $71,160.00
Depreciation
Expense $10,000.00 $10,000.00 $10,000.00
S&A Expense $13,440.00 $15,300.00 $14,969.40
EBIT $54,560.00 $57,500.00 $46,190.60
Interest Expense $1,815.33 $3,075.64 $2,222.27
EBT $52,744.68 $54,424.36 $43,968.33
Taxes $21,097.87 $21,769.74 $17,587.33
Net Income $31,646.81 $32,654.61 $26,381.00
Dividends Paid $28,000.00 $28,000.00 $28,000.00
Add to R/E $3,646.81 $4,654.61 -$1,619.00
Income
statement 2005 2006 2007
Sales $253,450.00 $260,550.00 $240,000.00
COGS $180,115.00 $183,335.00 $267,000.00
Gross Profit $73,335.00 $77,215.00 -$27,000.00
Depreciation
Expense $10,000.00 $10,000.00 $15,000.00
S&A Expense $15,967.35 $17,717.40 $16,320.00
EBIT $47,367.65 $49,497.60 -$58,320.00
Interest Expense $1,622.35 $1,857.85 -$1,527.91
EBT $45,745.30 $47,639.75 -$56,792.09
Taxes $18,298.12 $19,055.90 -$22,716.83
Net Income $27,447.18 $28,583.85 -$34,075.25
Dividends Paid $28,000.00 $28,000.00 $0.00
Add to R/E -$552.82 $583.85 -$34,075.25
Income
statement 2008 2009 2010
Sales $271,600.00 $297,180.00 $314,350.00
COGS $310,312.00 $223,045.20 $229,667.00
Gross Profit -$38,712.00 $74,134.80 $84,683.00
Depreciation
Expense $15,000.00 $15,000.00 $15,000.00
S&A Expense $18,468.80 $20,505.42 $22,004.50
EBIT -$72,180.80 $38,629.38 $47,678.50
Interest Expense $4,121.92 $7,492.85 $5,821.73
EBT -$76,302.72 $31,136.53 $41,856.77
Taxes -$30,521.09 $12,454.61 $16,742.71
Net Income -$45,781.63 $18,681.92 $25,114.06
Dividends Paid $0.00 $0.00 $0.00
Add to R/E -$45,781.63 $18,681.92 $25,114.06
Table 2
Net Income, Return on Equity
2002 2003 2004
ROE = NI/TE 0.5899 0.5601 0.4654
Div. Payout Ratio = 0.885 0.857 1.061
Div. /NI
Retention Ratio = 0.1152 0.1425 -0.0614
(1-D)
2005 2006 2007
ROE = NI/TE 0.4890 0.3117 -0.5912
Div. Payout Ratio = 1.020 0.980 0.0000
Div. /NI
Retention Ratio = -0.0201 0.0204 1.0000
(1-D)
2008 2009 2010
ROE = NI/TE -3.8613 0.6118 0.4513
Div. Payout Ratio = 0.0000 0.0000 0.0000
Div. /NI
Retention Ratio = 1.0000 1.0000 1.0000
(1-D)
Table 3
Killing-M-Softly Exterminator Company Balance Statements
Balance Sheet 2002 2003 2004
Cash $5,520.00 $6,120.00 $5,644.20
Acct Receivables $21,041.10 $21,657.53 $20,842.19
Inventory $13,315.07 $13,681.64 $14,321.10
Total Current Assets $39,876.16 $41,459.18 $40,807.49
Gross Fixed Assets $100,000.00 $100,000.00 $100,000.00
Accumulated Depreciation $10,000.00 $20,000.00 $30,000.00
Net Fixed Assets $90,000.00 $80,000.00 $70,000.00
Total Assets $129,876.16 $121,459.18 $110,807.49
Acct Payables $15,090.41 $16,040.55 $16,230.58
Accruals $11,400.00 $11,985.00 $12,760.80
Notes Payable $29,738.95 $17,132.21 $9,133.70
Total Current Liabilities $56,229.36 $45,157.76 $38,125.07
Long Term Debt $20,000.00 $18,000.00 $16,000.00
Total Liabilities $76,229.36 $63,157.76 $54,125.07
Equity
Common Stock $50,000.00 $50,000.00 $50,000.00
Retained Earnings $3,646.81 $8,301.42 $6,682.42
Total Equity $53,646.81 $58,301.42 $56,682.42
Total Liabilities $129,876.16 $121,459.18 $110,807.49
and Equity
Balance Sheet 2005 2006 2007
Cash $5,829.35 $6,513.75 $4,080.00
Acct Receivables $22,914.66 $26,411.92 $24,986.30
Inventory $16,284.37 $17,077.78 $27,065.75
Total Current Assets $45,028.38 $50,003.45 $56,132.05
Gross Fixed Assets $100,000.00 $100,000.00 $150,000.00
Accumulated Depreciation $40,000.00 $50,000.00 $65,000.00
Net Fixed Assets $60,000.00 $50,000.00 $85,000.00
Total Assets $105,028.38 $100,003.45 $141,132.05
Acct Payables $16,777.84 $15,570.92 $24,871.23
Accruals $13,432.85 $7,165.13 $6,600.00
Notes Payable $4,688.10 -$34,446.04 $32,022.63
Total Current Liabilities $34,898.78 -$11,710.00 $63,493.86
Long Term Debt $14,000.00 $20,000.00 $20,000.00
Total Liabilities $48,898.78 $8,290.00 $83,493.86
Equity
Common Stock $50,000.00 $85,000.00 $85,000.00
Retained Earnings $6,129.59 $6,713.45 -$27,361.80
Total Equity $56,129.59 $91,713.45 $57,638.20
Total Liabilities $105,028.38 $100,003.45 $141,132.05
and Equity
Balance Sheet 2008 2009 2010
Cash $6,246.80 $12,778.74 $13,517.05
Acct Receivables $30,508.49 $37,452.82 $37,894.25
Inventory $33,156.62 $26,276.56 $30,202.78
Total Current Assets $69,911.92 $76,508.12 $81,614.08
Gross Fixed Assets $150,000.00 $150,000.00 $150,000.00
Accumulated Depreciation $80,000.00 $95,000.00 $110,000.00
Net Fixed Assets $70,000.00 $55,000.00 $40,000.00
Total Assets $139,911.92 $131,508.12 $121,614.08
Acct Payables $28,905.78 $20,776.81 $21,393.64
Accruals $7,469.00 $8,172.45 $8,644.63
Notes Payable $71,680.58 $52,020.38 $15,923.28
Total Current Liabilities $108,055.36 $80,969.64 $45,961.54
Long Term Debt $20,000.00 $20,000.00 $20,000.00
Total Liabilities $128,055.36 $100,969.64 $65,961.54
Equity
Common Stock $85,000.00 $85,000.00 $85,000.00
Retained Earnings -$73,143.44 -$54,461.52 -$29,347.46
Total Equity $11,856.56 $30,538.48 $55,652.54
Total Liabilities $139,911.92 $131,508.12 $121,614.08
and Equity
Table 4
Killing-M-Softly Regression Results
SUMMARY OUTPUT
Regression Statistics
Multiple R 0.848759598
R Square 0.720392855
Adjusted R Square 0.680448977
Standard Error 14817.87593
Observations 9
ANOVA
df SS MS
Regression 1 3959962560 3959962560
Residual 7 1536986129 219569447
Total 8 5496948689
Coefficients Standard Error t Stat
Intercept 223661.1111 10764.93729 20.77681506
Year 8124 1912.979556 4.246778264
Sales Forecast $ 304,901.11
for 2011
SUMMARY OUTPUT
Regression Statistics
Multiple R 0.848759598
R Square 0.720392855
Adjusted R Square 0.680448977
Standard Error 14817.87593
Observations 9
ANOVA
df F Significance F
Regression 1 18.03513 0.003808
Residual 7
Total 8
Coefficients P-value Lower 95%
Intercept 223661.1111 1.5E-07 198206.1
Year 8124 0.003808 3600.522
Sales Forecast $ 304,901.11
for 2011
SUMMARY OUTPUT
Regression Statistics
Multiple R 0.848759598
R Square 0.720392855
Adjusted R Square 0.680448977
Standard Error 14817.87593
Observations 9
ANOVA
df
Regression 1
Residual 7
Total 8
Coefficients Upper 95% Lower 95.0%
Intercept 223661.1111 249116.143 198206.1
Year 8124 12647.4779 3600.522
Sales Forecast $ 304,901.11
for 2011
SUMMARY OUTPUT
Regression Statistics
Multiple R 0.848759598
R Square 0.720392855
Adjusted R Square 0.680448977
Standard Error 14817.87593
Observations 9
ANOVA
df
Regression 1
Residual 7
Total 8
Coefficients Upper 95.0%
Intercept 223661.1111 249116.1
Year 8124 12647.48
Sales Forecast $ 304,901.11
for 2011