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Statistics: ANOVA, Regression Analysis and Hypothesis Testing

Construct frequency distribution, cumulative frequency distribution, relative frequency distribution, cumulative relative frequency distribution, and percent frequency distribution for given data set. Construct a histogram and analyze the shape of the distribution. Determine sample size for a regression analysis.

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Added on  2023-06-04

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This article covers ANOVA, Regression Analysis and Hypothesis Testing in Statistics. It includes computation of sample size, hypothesis test, coefficient of determination, coefficient of correlation, regression model and significance of variables.

Statistics: ANOVA, Regression Analysis and Hypothesis Testing

Construct frequency distribution, cumulative frequency distribution, relative frequency distribution, cumulative relative frequency distribution, and percent frequency distribution for given data set. Construct a histogram and analyze the shape of the distribution. Determine sample size for a regression analysis.

   Added on 2023-06-04

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Statistics: ANOVA, Regression Analysis and Hypothesis Testing_1
Question 1
(a) The relevant frequency distribution table is highlighted below.
(b) Histogram for percentage frequency distribution of score is highlighted below.
It is apparent from the above histogram that the distribution is non-normal with a negative skew
(Hillier, 2016). Also, the curve does not assume a bell shaped curve. Besides, the deviation in the
data seems to be quite high.
1
Statistics: ANOVA, Regression Analysis and Hypothesis Testing_2
Question 2
Dependent variable: supply (y) and
Independent variable unit price (x)
ANOVA table
(a) Computation of sample size
Degree of freedom (Dof) = 1+39 = 40
Sample size = 1+ Degree of freedom = 41
(b) Hypothesis test
H0: β=0
H1 : β ≠ 0
Slope coefficient b= 0.029
Corresponding standard error S Eb= 0.021
t stat= b−β
S Eb
=( 0.029−0.00
0.021 )=1.381
Dof = n-2 =41-2 = 39
The p value (two tailed test) ¿ TDIST (1.38 ,39,2)=0.175
2
Statistics: ANOVA, Regression Analysis and Hypothesis Testing_3

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