Analysis of Sample Furniture Orders, Regression and ANOVA Tables

UNIVERSITY MATHEMATICS B
Name of the student:
Name of the university:
Author’s note:

Answer 1:
Given the dataset of a sample of 50 recent furniture orders.
a. The dataset is being divided into 8 groups of length 50 each and frequency of each of the
group is being calculated here along with relative frequency and percentage frequency.
Required frequency table is:
Table 1: Frequency distribution of orders.
Category Frequency Cumulative frequency Relative frequency Percent frequency
123 - 173 8 8 0.16 16.00
173 - 223 16 24 0.32 32.00
223 - 273 11 35 0.22 22.00
273 - 323 4 39 0.08 8.00
323 - 373 5 44 0.10 10.00
373 - 423 2 46 0.04 4.00
423 - 473 3 49 0.06 6.00
473 - 523 1 50 0.02 2.00

b. A histogram on percentage frequency distribution is given below:
123 - 173 173 - 223 223 - 273 273 - 323 323 - 373 373 - 423 423 - 473 473 - 523
0
5
10
15
20
25
30
35
Percent frequency
Figure 1: Histogram on percentage frequency.
The distribution can be clearly seems to be left centered. Therefore, it is a left tailed distribution.
c. Median will be an appropriate measure of location in the case. Since most of the value
concentrate on the left side of the series, therefore, mean will be value that will again lie
in the left side of the dataset. The middle most value or the median can only provide a
measure of location.
Answer 2:
Table completing the calculations of the given regression table is given below:
Table 2: Regression table.
Source of
variation SS DF MS F-Crit F-Sig
Regression 5048.81 1 5048.81 109.361 4.0247