Statistics: Frequency Analysis, Linear Regression, ANOVA and Multiple Regression

Running Head: STATISTICS
Statistics
Name of the student:
Name of the university:
Course ID:

1STATISTICS
Table of Contents
Answer 1..........................................................................................................................................2
Answer 2..........................................................................................................................................3
Answer 3..........................................................................................................................................4
Answer 4..........................................................................................................................................5
References:......................................................................................................................................9
Table of tables
Table 1: The table of frequency distribution, cumulative frequency distribution, relative
frequency distribution, cumulative frequency distribution and percent frequency distribution of
examination scores of 20 students...................................................................................................2
Table 2: Linear Regression Model_1..............................................................................................3
Table 3: One-way ANOVA table....................................................................................................4
Table 4: Multiple Regression Model...............................................................................................6
Table 5: Linear Regression Model_2..............................................................................................7
Table of Figures
Figure 1: Histogram of frequency in percentages as per examination scores.................................2
Figure 2: Bar chart of average scores of four countries...................................................................5

2STATISTICS
Answer 1.
The frequency analysis and graphical representation of examination scores of 20 students
are accomplished in the below table.
1. a)
Table 1: The table of frequency distribution, cumulative frequency distribution, relative
frequency distribution, cumulative frequency distribution and percent frequency
distribution of examination scores of 20 students
1. b)
50-59 60-69 70-79 80-89 90-99
0%
5%
10%
15%
20%
25%
30%
35%
Histogram of Examination Score
Class intervals of scores
Frequency in percenatges
Figure 1: Histogram of frequency in percentages as per examination scores

3STATISTICS
The shape of the distribution of Examination score indicates that the examination score is
left-skewed. Its right tail is longer than its left tail. Its mode is greater than median and the
median is greater than mean.
Answer 2.
From the incomplete information, the whole regression output is calculated in the below
table. The regression analysis undertakes ‘Supply’ as dependent variable and ‘Unit Price’ as
independent variable.
Table 2: Linear Regression Model_1
2. a)
The sample size for the problem is 41.
2. b)
The p-value of the independent variable ‘Unit Price’ (X) is 0.175156156. The p-value of
the independent variable is greater than 0.05. Therefore, the null hypothesis of insignificant
association between predictor and response variable cannot be rejected with 95% confidence.