Statistics: ANOVA, Regression Analysis and Frequency Distribution Table

Statistics
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1. a. Construction of a frequency distribution table with cumulative frequencies and the
frequency percentages
answer
group frequency
Relative
frequency
cumulative
frequency Relative cum % frequency
50-59 3 0.15 3 0.15 15
60-69 2 0.1 5 0.25 10
70-79 5 0.25 10 0.5 25
80-89 4 0.2 14 0.7 20
90-99 6 0.3 20 1 30
b. construction of histogram
answer
The histogram trends upwards indicating that individual students’ performance was good
2. a. sample size for the problem
39+1=40
b. Determine whether or not demand and unit price are related. Use α = 0.05.
Answer
We compute the t-value
t−value= coefficient
Standard error = 0.029
0.021 =1.3809
The associated p-value is 0.399008; this value is greater than 0.05, we therefore fail to reject
the null hypothesis and conclude that there is no relationship between the sales and
individual prices of the goods produced.
c. Compute the coefficient of determination and fully interpret its meaning. Be very specific.
Y=54.076+0.029x
55 60 65 70 75 80 85 90 95 More
0
1
2
3
4
0.00%
20.00%
40.00%
60.00%
80.00%
100.00%
120.00%
Histogram
Frequency
Cumulative %
50
Frequency