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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 histogram and comment on the shape of the distribution. Determine sample size for 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 frequency distribution, histogram, ANOVA output, hypothesis testing, correlation coefficient, regression model, slope coefficient, and more.

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 histogram and comment on the shape of the distribution. Determine sample size for regression analysis.

   Added on 2023-06-04

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Statistics: ANOVA, Regression Analysis and Hypothesis Testing_1
Question 1
(a) Frequency distribution
(b) Histogram
Comment: It can be seen from the above histogram that examination score does not exhibit
normal distribution as it does not possess a bell curve. Further, a non-normal distribution is
confirmed from the presence of negative skew. It is also evident from the shape of histogram that
scores show significant deviations (Fehr and Grossman, 2013).
1
Statistics: ANOVA, Regression Analysis and Hypothesis Testing_2
Question 2
Variables
Supply (Y): Dependent variable
Unit price (X): Independent variable
ANOVA Output
(a) Sample size = Degree of freedom + 1 = (1+39) +1 = 41
(b) Null and alternative hypothesis
Slope coefficient (Unit price) = 0.029
Standard error (Unit price) = 0.021
The value of t stat =( 0.029
0.021 )=1.381
Hypothesis test = Two tailed
The p value = ¿ TDIST (1.38 ,39 , 2)=0.175
2
Statistics: ANOVA, Regression Analysis and Hypothesis Testing_3

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