Download ITM 210 Spring 2011 Project Nicholas Brunner University of Tampa

ITM 210 Spring 2011 Project
Nicholas Brunner
University of Tampa
Table of Contents
Chapter 1 ………………………………………………………………...........................3
Chapter 2 ………………………………………………………………...........................3
Summary Table of Number of Transactions per Distribution Channel….…..…..3
Pareto Diagram of the Number of Transactions per Product……..………….…..4
Bar Chart for Percentage of Quantity per Product………………….………..…..5
Pie Chart of Total Revenue per Area…………………………………...………..6
Steam & Leaf Plot of Revenue of 1 Kg Nut Muesli……………………………..6
Chapter 3 ………………………………………………………………...........................7
Descriptive Measures of Price, Quantity and Revenue…………………….…….7
Price Boxplot……………………………………………………………….…….7
Quantity Boxplot…………………………………………….……………….…..8
Revenue Boxplot…………………………………………………………………8
Chapter 4 …………………………………………………………………………...........9
Revenue and Quantity per Area and Channel Distribution…………………....…9
Quantity per Product and Quarter……………………………………....………...9
Avg Price and Revenue per Area and Product…………………….…………….10
Avg Price per Product and Distribution Channel………………………………..10
Chapter 6 ………………………………………………………………………...............11
Price Normality Analysis………………………………………………………...11
Quantity Normality Analysis…………………………………………………….11
Revenue Normality Analysis…………………………………………………….11
Chapter 8 ……….…………………………………………………..................................12
Quantity Confidence Intervals…………………………………………………...12
Price Confidence Intervals……………………………………………………….12
Revenue Confidence Intervals…………………………………………………...13
Chapter 9 – 10 ……………………………………………...…………………………...13
One Sample, Upper Tail t Test…………………………………………………..13
One Sample, Two Tail t Test…………………………………………………….14
Related Population, Lower Tail t Test…………………………………………...15
Independent Population, Two Tail t Test…………….…………………………..15
Chapter 12-13 ……………………………………………………………………………16
Simple Linear Regression………………………………………………………..16
Mulitple Regression……………………………………………………………...17
2
Ch. 1 Data Collection
The dataset contains a total of eleven variables including categorical,
numerical, discrete and continuous. Of the dataset the categorical variables include
transaction number, quarter, company code, distribution channel code, distribution
channel, area, product, and customer code. These variables are categorical variables
because the data cannot be added or put into numerical data evaluation (mean,
median, standard deviation). The remaining variables are classified as numerical
variables, and are further classified between continuous or discrete variables. The
variables classified as numerical, continuous within the dataset are price and
revenue. Price is numerical because the data can be evaluated through mean,
median and standard deviation. Price is continuous because the data is not set on a
numbering scheme and can be a decimal. Like price revenue can also be evaluated
and is not set on a data scheme and can be a decimal. The only numerical, discrete
variable within the dataset is quantity. Quantity must be a whole number, making it
a discrete variable.
Ch. 2 Presenting Data in Tables and Charts
Summary Table of Number of Transactions per Distribution Channel
Distribution
Channel
Grocery Chain
Hypermarket
Independent Grocer
Total
Number of
Transactions
345
70
555
970
Percentage
35.57%
7.21%
57.22%
100.00%
The above summary table shows the frequency and percentage of the
number of transactions per distribution channel. As seen in the chart, the
Independent Grocer was the most used followed by the Grocery Chain and the
Hypermarket.
3
Pareto Diagram of the Number of
Transactions per Product
45%
40%
85.67%
100.00%
80%
70%
69.38%
30%
60%
58.04%
25%
50%
40.31%
40.31%
40%
15%
10%
100%
90%
78.45%
35%
20%
90.93%
95.77%
30%
20%
17.73%
5%
11.34%
9.07%
7.22%
0%
5.26%
4.85%
4.23%
10%
0%
Product
Product
500g Original Muesli
500g Raisin Muesli
1 Kg Nut Muesli
1 Kg Strawberry
Muesli
1 Kg Original Muesli
500g Blueberry Muesli
500g Strawberry
Muesli
500g Mixed Fruit
Muesli
Grand Total
Frequency
Percentage
391
172
110
88
40.31%
17.73%
11.34%
9.07%
Cumulative
Pct.
40.31%
58.04%
69.38%
78.45%
70
51
47
7.22%
5.26%
4.85%
85.67%
90.93%
95.77%
41
4.23%
100.00%
970
100%
popular is 500g Mixed Fruit Muesli.
The pareto di
The Pareto
diagram above
shows the of
number of
transactions per
product. With
this graph, it is
shown that the
most popular
product is 500g
Original Muesli
and the least
4
Bar Chart for Percentage of Quantity
per Product
500g Strawberry Muesli
3.33%
500g Mixed Fruit Muesli
3.43%
500g Blueberry Muesli
3.93%
500g Raisin Muesli
9.89%
1 Kg Original Muesli
13.62%
1 Kg Strawberry Muesli
15.25%
1 Kg Nut Muesli
19.04%
500g Original Muesli
Product
500g Original Muesli
1 Kg Nut Muesli
1 Kg Strawberry
Muesli
1 Kg Original Muesli
500g Raisin Muesli
500g Blueberry
Muesli
500g Mixed Fruit
Muesli
500g Strawberry
Muesli
TOTAL
31.51%
0.00%
10.00%
20.00%
Quantity
194339
117403
94051
Percentage
31.51%
19.04%
15.25%
84015
61008
24242
13.62%
9.89%
3.93%
21172
3.43%
20470
3.33%
616700
30.00%
40.00%
The above bar chart shows the
percentage of sales between each
product. The chart shows that that
most popular product sold was
500g Original Muesli at 31.51%
and a quantity of 194339.
100%
5
Pie Chart of Total Revenue per
Area
28.14%
38.92%
SOUTH
NORTH
WEST
32.94%
Area
SOUTH
NORTH
WEST
TOTAL
0
1
2
3
4
5
6
7
8
9
10
11
12
13
Revenue
$2,802,200.47
$2,371,454.39
$2,025,626.79
$7,199,281.65
Percentage
38.92%
32.94%
28.14%
100.00%
The above pie chart examines the area that
produced the highest revenue. As noted in
the chart, the South had the highest revenue
with $2,802,200.47 or 38.92% of all
revenue.
Steam & Leaf Plot of Revenue of 1 Kg Nut Muesli
035.92, 826.80
590.00
750.42
880.88
730.51, 815.82
186.80, 893.42
086.49, 090.98, 099.96, 144.86, 144.86, 194.25, 203.23, 203.23, 239.15, 257.11,
272.07, 323.12, 344.32, 355.89, 441.20, 468.14, 468.14, 505.44, 548.96, 575.90,
589.37, 616.31, 634.27, 647.74, 647.74, 724.07, 777.95, 876.73, 926.12, 935.10,
935.10, 939.59, 997.96
056.33, 101.23, 200.01, 213.48, 312.26, 339.20, 343.69, 379.61, 406.55,
424.55, 469.41, 541.25, 581.66, 613.09, 622.07, 653.50, 765.75, 770.24,
837.59, 891.47, 904.94, 913.92, 927.39, 972.39, 981.27, 981.27
021.68, 044.13, 062.09, 062.09, 071.07, 075.56, 147.40, 187.81, 309.04,
313.53, 385.37, 389.86, 443.74, 493.13, 502.11, 515.58, 573.95, 591.91, 605.38,
704.16, 767.02, 802.94, 847.84, 861.31, 964.58
025.28
6
14
15
16
17
18
19
20
098.00, 233.68
845.52
015.12, 027.84, 765.60, 892.80
041.20
054.44
059.44, 097.60, 195.12, 233.28
The above chart shows the distribution of all revenue earned by the sale of
1 Kg Nut Muesli. The chart is set with the stem in thousands of dollars, for
example the highest value 20 233.28 is equal to $20,233.28. The chart shows that
the majority of revenue is between $8,000 and $10,000 with outliers at $17,000
through $20,000.
Ch. 3 Numerical Descriptive Measures
Price
Revenue
4.60
4.41
2.01
0.49
0.24
0.11
4.37
4.65
0.28
Mean
Median
Range
Standard Deviation
Variance
Coeffiecient of Variation
Q1
Q3
Interquartile Range
7421.94
5896.96
20735.88
3282.06
10771913.8
0.44
5204.67
9281.19
4076.52
Quantity
1631.02
1331
5269
731.73
535435.62
3.23
1130
2038
906
Price Boxplot
Price
3
4
5
6
7
7
Price Five-number Summary
Minimum
3.87
First Quartile
4.37
Median
4.41
Third Quartile
4.65
Maximum
5.88
The boxplot for price shows that the data for price is
skewed to the right.
Quantity Boxplot
0
1000
2000
3000
Quantity 4000
Quantity Five-number Summary
Minimum
8
First Quartile
1132
Median
1334.5
Third Quartile
2044
Maximum
5277
5000
The boxplot shows that the data for quantity is
skewed to the right.
Revenue Boxplot
Revenue
30
5030
10030
15030
20030
8
Revenue Fivenumber Summary
Minimum
35.92
First
Quartile
Median
Third
Quartile
Maximum
The boxplot shows that the data for revenue is skewed to the
right.
5208.56
5906.055
9312.26
20771.8
Ch. 4 Basic Probability
Revenue and Quantity per Area and Channel Distribution
Area and Distribution
Channel
NORTH
Grocery Chain
Hypermarket
Independent Grocer
SOUTH
Grocery Chain
Hypermarket
Independent Grocer
WEST
Grocery Chain
Hypermarket
Independent Grocer
Total
Quantity
520633
222930
40467
257236
616700
273087
153639
189974
444752
211368
33226
200158
1582085
Revenue
2371454.39
1010476.2
198935.96
1162042.23
2802200.47
1240904.59
694283.95
867011.93
2025626.79
933937.58
157884.21
933805
7199281.65
The pivot table to
the left examines the
quantity and revenue per
Area and per Distribution
Channel within each Area.
For example, the Grocery
chain in the South had a
total quantity of 273087
units sold and
$1240904.59 in revenue.
Quantity per Product and Quarter
Quantity
Product
1 Kg Nut Muesli
1 Kg Original Muesli
1 Kg Strawberry
Muesli
500g Blueberry Muesli
500g Mixed Fruit
Muesli
500g Original Muesli
500g Raisin Muesli
500g Strawberry
Muesli
Total Quantity
100000
100000
Quarter 2
150000
70000
Total
Quantity
250000
170000
100000
8269
100730
55882
200730
64151
25000
243538
67244
27741
313013
171331
52741
556551
238575
23880
667931
25457
914154
49337
1582085
Quarter 1
The pivot ta
to
The table above
examines the
quantity of units
sold per product per
quarter. The chart
shows the most
popular product per
quarter and in total.
Avg Price and
Revenue per Area
and Product
9
Area and Product
NORTH
1 Kg Nut Muesli
1 Kg Original Muesli
1 Kg Strawberry Muesli
500g Blueberry Muesli
500g Mixed Fruit Muesli
500g Original Muesli
500g Raisin Muesli
500g Strawberry Muesli
SOUTH
1 Kg Nut Muesli
1 Kg Original Muesli
1 Kg Strawberry Muesli
500g Blueberry Muesli
500g Mixed Fruit Muesli
500g Original Muesli
500g Raisin Muesli
500g Strawberry Muesli
WEST
1 Kg Nut Muesli
1 Kg Original Muesli
1 Kg Strawberry Muesli
500g Blueberry Muesli
500g Mixed Fruit Muesli
500g Original Muesli
500g Raisin Muesli
500g Strawberry Muesli
Total
Average of
Price
4.57
4.46
4.12
5.36
5.63
5.18
4.37
4.39
5.68
4.60
4.41
4.03
5.30
5.51
5.14
4.35
4.37
5.61
4.63
4.47
4.10
5.34
5.62
5.18
4.33
4.38
5.65
4.60
Total Revenue
2371454.39
321704.93
153325.8
363099.37
126450.01
69735.75
859396.97
468170.76
9570.8
2802200.47
514361.97
335927.55
495278.93
131733.4
107944.75
839028.04
263918.98
114006.85
2025626.79
269555.6
199120.65
203656.1
95363.22
92675
706237.03
305859.93
153159.26
7199281.65
The pivot table to the
left examines the
average price and
total revenue of sales
per area and product.
For example, 1 Kg Nut
Muesli in the North
had an avg price of
$4.46 and total
revenue of
$321704.93.
Avg Price per Product and Distribution Channel
Distribution
Channel
Product
1 Kg Nut Muesli
1 Kg Original Muesli
1 Kg Strawberry
Muesli
500g Blueberry Muesli
500g Mixed Fruit
Muesli
500g Original Muesli
500g Raisin Muesli
500g Strawberry
Muesli
Total
Grocery Chain
4.49
4.12
Hypermarket
4.24
3.87
5.43
5.28
5.18
Total Avg
Price per
Product
4.44
4.07
Independent
Grocer
5.75
5.33
5.59
5.00
4.16
4.14
5.25
4.40
4.43
5.16
4.35
4.38
5.43
4.55
5.68
4.62
5.64
4.60
4.65
10
The pivot table above examines the average price of each product and each
distribution channel. For example, the average price of 1 Kg Strawberry Muesli is
$5.33 and $5.43 for one unit of 1 Kg Strawberry Muesli sold in the Grocery Chain.
Ch.6 Accessing Normality
Quantity
Mean –1631.02
 - 731.73
1-
Range 899.29 – 2,362.75
773 units are within 1 
773/970 = 79.69%
2-
Range 167.56 – 13986.059
917 units within 2 
917/970 = 94.5%
3-
Range 0 – 17268.119
940 units within 3 
940/970 = 96.9%
The empirical rule states that 68% of data sets should lie between 1
standard deviation from the mean, 95% between 2 standard deviations and
99.7% between 3 standard deviations. Using the calculations, the quantity
data set seems to be close but not perfectly normal. To be sure of my
conclusion I also completed a test using the interquartile range.
Q3 - 2038
Q1 - 1132
 - 731.73
Interquartile Range = Q3 – Q1
IR= 2038 – 1132
IR = 906
IR/= 906/731.73
IR = 1.23 
A normally distributed data set has an interquartile range of 1.33
standard deviations. The distribution of the quantity of each transaction has
an interquartile range standard deviation 1.23. This means that the data set
for quantity is close to being normally distributed.
Price
Q3 - $4.65
Q1 - $4.37
 - $0.49
Interquartile Range = Q3 – Q1
IR=$4.65 - $4.37
IR = 0.28
IR/= 0.28/0.49
IR = 0.57 
A normally distributed data set has an interquartile range of 1.33
standard deviations. The distribution of the price of all the products has a
standard deviation of 0.57, this means that the data set for price is not
normally distributed.
Revenue
Q3 - $9,294.72
Interquartile Range = Q3 – Q1
11
Q1 - $5,168.80
 - $3282.06
IR=$9,294.72- $5,168.80
IR = 4125.92
IR/= 4125.92/3282.06
IR = 1.257 
A normally distributed data set has an interquartile range of 1.33
standard deviations. The distribution of the revenue from each transaction of
has a standard deviation of 1.257, this means that the data set for revenue is
perfectly normally distributed but very close.
Ch. 8 Confidence Intervals
CI = Mean +/- t(S/n)
Quantity
Mean- 1631.02
S - 731.73
n – 970
90%
1631.02 + 1.6449 (731.73/970) = 1669.67
1631.02 - 1.6449 (731.73/970) = 1592.37
95%
1631.02 + 1.96 (731.73/970) = 1677.07
1631.02 - 1.96 (731.73/970) = 1584.97
99%
1631.02 + 2.5758 (731.73/970) = 1691.54
1631.02 - 2.5758 (731.73/970) = 1570.5
- We are 90 percent confidant that population of quantity of each transaction falls
between 1592.37 and 1669.67 units.
- We are 95 percent confidant that population of quantity of each transaction falls
between 1584.97 and 1677.07 units.
- We are 99 percent confidant that population of quantity of each transaction falls
between 1570.5and 1691.54 units.
Price
Mean – 4.597
S – 0.491
n – 970
90%
4.597+ 1.6449 (0.91/970) = 4.62293
4.597 - 1.6449 (0.91/970) = 4.57107
95%
4.597+ 1.96 (0.91/970) = 4.6279
4.597 - 1.96 (0.91/970) = 4.5661
99%
4.597+ 2.5758 (0.91/970) = 4.63761
4.597- 2.5758 (0.91/970) = 4.55639
- We are 90 percent confident that the population of price of every product is
between $4.57107 and $4.62293.
12
- We are 95 percent confident that the population of price of every product is
between $4.5661 and $4.6279.
- We are 99 percent confident that the population of price of every product is
between $4.55639 and $4.63761.
Revenue
Mean – 7421.94
S – 3282.06
n – 970
-
90%
7421.94 + 1.6449(3282.06/970) = 7595.28
7421.94 - 1.6449(3282.06/970) = 7248.6
95%
7421.94 + 1.96 (3282.06/970) = 7627.61
7421.94 - 1.96 (3282.06/970) = 7214.51
99%
7421.94 + 2.5758 (3282.06/970) = 7693.38
7421.94 + 2.5758 (3282.06/970) = 7150.5
We are 90 percent confident that the population of revenue of each
transaction is between $7248.6 and $7595.28.
We are 95 percent confident that the population of revenue of each
transaction is between $7214.51and $7627.61.
We are 99 percent confident that the population of revenue of each
transaction is between $7150.5and $7693.38.
Ch. 9 – 10 Hypothesis Testing
Null and Alternate Hypothesis
H0:   4.38 H0: The average price of 500g Raisin Muesli is greater than or
equal to the $4.38 (the sample 100 units of 500g Raisin Muesli)
HA:  < 4.38 HA: The average price of 500g Raisin Muesli is less than $4.38
(the sample average of all prices)
One Sample, Upper Tail t Test Data
Null Hypothesis
=
4.38
Level of Significance
0.01
Sample Size
171
Sample Mean
4.382047
Sample Standard Deviation
0.115626
Intermediate Calculations
Standard Error of the Mean
0.008842
Degrees of Freedom
170
t Test Statistic
0.231481
Upper-Tail Test
Upper Critical Value
p-Value
Do not reject the null
hypothesis
2.348483
4.49
Type of test and level of significance
One Sample, Upper Tail t Test
 = 0.01
Critical Value
Critical Value = 2.35
Test Statistic of Sample
t STAT = 0.23
Decision
Do not reject null hypothesis
Conclusion
There is sufficient evidence that
13
the average price of 500g Raisin Muesli is greater than or equal to $4.38.
Null and Alternate Hypothesis
H0:  = 5948.53
H0: The mean revenue of transactions in the north area
is equal to $5948.53 (the 100 sample average of North
revenue)
HA:   5948.53
HA: The mean revenue of transactions in the north area
is not equal to $5948.53 (the 100 sample average of
North revenue)
t Test for Hypothesis of the Mean
Type of test and level of significance
One Sample, Two Tail t Test
 = 0.10
One Sample, Two Tail t Test Data
Null Hypothesis
=
5948.53
Level of Significance
0.1
Sample Size
343
Sample Mean
6913.861195
Sample Standard
Deviation
2809.052564
Critical Value
Critical Value = 1.64932126
Test Statistic of Sample
t STAT = 6.36
Intermediate Calculations
Standard Error of the Mean
151.6745817
Degrees of Freedom
342
t Test Statistic
6.364488923
Decision
Reject Null Hypothesis
Conclusion
There is not sufficient evidence
that the mean revenue of transactions in
the north area is equal to $5948.53
Null and Alternate Hypothesis
H0: Quarter1 -  Quarter 2  -500.91
HA:  Quarter1 -  Quarter 2 > -500.91
Two-Tail Test
Lower Critical Value
Upper Critical Value
p-Value
Reject the null hypothesis
-1.64932126
1.64932126
6.29902E-10
H0: The revenue from quarter one is
less than the revenue from quarter two by
$500.91 or more.
HA: The revenue from quarter one is not
less than the revenue from quarter two by
$500.91 or more.
Type of test and level of significance
Related Population, Lower Tail t Test
 = 0.10
Critical Value
Critical Value = -1.28
t Test for Hypothesis of the Mean
14
Test Statistic of Sample
t STAT = 3.79
Decision
Do not reject the null
hypothesis
Conclusion
There is sufficient evidence
that the revenue from quarter one is
less than the revenue from quarter
two by $500.91 or more.
Related Population, Lower Tail t Test Data
-500.91
Null Hypothesis
=
Level of Significance
0.1
Sample Size
404
Sample Mean
295.7825
Sample Standard Deviation
4222.946339
Intermediate Calculations
Standard Error of the Mean
210.099433
Degrees of Freedom
403
t Test Statistic
3.791978344
Lower-Tail Test
Lower Critical Value
p-Value
Do not reject the null hypothesis
-1.28365579
0.999913836
Null and Alternate Hypothesis
H0: 1 - 2 = -143.38 H0: The revenue of 1 Kg Strawberry Muesli is $143.38 less
than the revenue of 1 Kg Original Muesli
HA: 1 - 2  -143.38 HA: The revenue of 1 Kg Strawberry Muesli is not $143.38
less than the revenue of 1 Kg Original Muesli
Type of test and level of significance
Independent
Population, Two Tail t Test
 = 0.05
t Test for Hypothesis of the Mean
Independent Population, Two Tail t Test
Data
-143.38
Null Hypothesis
=
Level of Significance
0.05
Sample Size
70
Sample Mean
1815.091286
Sample Standard Deviation 2613.753483
Intermediate Calculations
Standard Error of the Mean
312.403294
Degrees of Freedom
69
t Test Statistic
5.351132071
15
Two-Tail Test
Lower Critical Value
Upper Critical Value
p-Value
Reject the null hypothesis
-1.99494539
1.99494539
1.07789E-06
Critical Value
Critical Value = 1.99
Test Statistic of Sample
t STAT = 5.35
Decision
Reject the null hypothesis
Conclusion
There is not sufficient evidence that the revenue of 1 Kg Strawberry Muesli is
$143.38 less than the revenue of 1 Kg Original Muesli
Ch. 12-13 Simple Linear and Multiple Regression
Simple Linear Regression
X=Quantity
Y = 352.37 + 4.33x
Y= Revenue
Interpretation of coefficients:
- Y intercept – With a quantity of zero, the revenue equals $352.37. This
statistic is not practical as revenue would not be earned if zero units were
sold.
- B1 X – For every change in the quantity by one unit is an increase of $4.33 in
revenue.
Regression Statistics
Multiple R
0.966367456
R Square
0.933866061
Adjusted R Square
0.93379774
Standard Error
844.4673076
Observations
970
ANOVA
df
Regression
Residual
Total
Intercept
Quantity
1
968
969
SS
9747679435
690305032.6
10437984467
MS
9747679435
713125.0336
F
13668.96263
Significance F
0
Coefficients
352.3669118
4.334461009
Standard Error
66.26881657
0.037073819
t Stat
5.317235619
116.9143389
P-value
1.3085E-07
0
Lower 95%
222.3198167
4.261706693
16
Upper 95%
482.414007
4.407215325
Scatter Plot of Revenue of the Population
$25,000.00
$20,000.00
Revenue
$15,000.00
$10,000.00
$5,000.00
$0.00
0
1000
2000
Predictions:
Estimated Revenue of 2147 units
Y = 352.37 + 4.33(2147)
Y = 9648.88
The estimated Revenue of 2147 units
is $9648.88
3000
Quantity
4000
5000
6000
Estimated Revenue of 1050 units
Y = 352.37 + 4.33(1050)
Y = 4903.07
The estimated Revenue of 2147 units
is $4903.07
Estimated Revenue of 1237 units
Estimated Revenue of 2600 units
Y = 352.37 + 4.33(1237)
Y = 352.37 + 4.33(2600)
Y = 5713.53
Y = 11620.80
The estimated Revenue of 2147 units
The estimated Revenue of 2147 units
is $5713.53
is $11620.80
Multiple Regression
X1 = Product Coded
Y = 800.36 - 69.03 X1 + 4.23 X2
X2 = Quantity
Y = Revenue
Product Code:
Product
Product
Code
1 Kg Nut Muesli
0
1 Kg Original Muesli
1
1 Kg Strawberry Muesli
2
500g Blueberry Muesli
3
17
Interpretation of coefficients:
500g Mixed Fruit
Muesli
500g Original Muesli
500g Raisin Muesli
500g Strawberry Muesli
-
4
- Y intercept – With a quantity of zero
5 and no product, the revenue equals $800.36.
6 This statistic is not practical as revenue would
7 not be earned if zero units were sold.
- B1 X – For a change of product from 1
Kg Nut Muesli to 1 Kg Original Muesli and the quantity held constant, the
revenue decreases by $69.03.
B2 X - For every change in the quantity by one unit and with the product held
constant, the revenue increases by $4.23.
Regression Statistics
Multiple R
0.967095968
R Square
0.935274611
Adjusted R Square
0.935140742
Standard Error
835.8578422
Observations
970
ANOVA
df
Regression
Residual
Total
Intercept
Product Coded
Quantity
2
967
969
SS
9762381860
675602607.4
10437984467
MS
4881190930
698658.3324
F
6986.520741
Significance F
0
Coefficients
800.3553684
-69.03237581
4.229048078
Standard Error
117.641054
15.04841479
0.043296896
t Stat
6.803367881
-4.587352009
97.67554783
P-value
1.78915E-11
5.07877E-06
0
Lower 95%
569.4941889
-98.5636888
4.144081374
Predictions:
Estimated revenue of 1130 units of 500g
Mixed Fruit Muesli
Y = 800.36 - 69.03 X1 + 4.23 X2
Y = 800.36 - 69.03 (4) + 4.23 (1130)
Y = $5304.14
Estimated revenue of 2428 units of
500g Original Muesli
Y = 800.36 - 69.03 X1 + 4.23 X2
Y = 800.36 - 69.03 (5) + 4.23 (2428)
Y = $10725.70
Estimated revenue of 1535 units of 1Kg
Strawberry Muesli
Y = 800.36 - 69.03 X1 + 4.23 X2
Y = 800.36 - 69.03 (4) + 4.23 (1535)
Y = $7017.29
Estimated revenue of 1000 units of
500g Blueberry Muesli
Y = 800.36 - 69.03 X1 + 4.23 X2
Y = 800.36 - 69.03 (5) + 4.23 (1000)
Y = $4685.21
18
Upper 95%
1031.216548
-39.50106282
4.314014782