PowerPoint Presentation

From the figure above, the histogram obtained is a bell-shaped histogram. This shows that the data is normally distributed with a mean of approximately 7. This implies that the assumption of the normality is met since the data is symmetric. However, the figure shows that more data in the datasets are skewed to the right than those to the left.

Descriptive Statistics Table

Measurement Scale

The measurement scale used in the data is ratio scale. This is because the dataset values cannot take a negative value, since the smallest value is 2.

Measure of Central Tendency

The mean Sun Coast Remediation for this data is 7.1262139, with a median of 7 and a mode of 7. The range between the maximum and the maximum value for this data is 10, with the maximum value being 12 and the minimum value being 2.

Skewness and Kurtosis

The skewness value for this data is 0.1422. Similarly, the kurtosis value is 0.124922603. This therefore implies that the data is slightly skewed to the right. However, the amount of skewness in the data is very little since the skewness and kurtosis values are both less than 0.5.

Evaluation

From the above histogram, the symmetrical shape of the histogram shows that the assumption of normality is met. Similarly, the linearity of data and the homogeneity of variance assumptions are met by the data and the analysis results provided.

Simple Regression: Descriptive Statistics and Assumption Testing

Frequency Distribution Table

From the figure above, the histogram obtained is a bell-shaped histogram. This shows that the data is normally distributed with a mean of approximately 200. This implies that the assumption of the normality is met since the data is symmetric. However, the figure shows that more data in the datasets lies to the right than those to the left.

Descriptive Statistics Table

Measurement Scale

The measurement scale used in the data is ratio scale. This is because the dataset values cannot take a negative value, since the smallest value is 10.

Measure of Central Tendency

The mean value for this data is 188.0044843, with a median of 190 and a mode of 190. The range between the maximum and the maximum value for this data is 350, with the maximum value being 360 and the minimum value being 10.

Skewness and Kurtosis

The skewness value for this data is -0.08198487. Similarly, the kurtosis value is -0.50122353. This therefore implies that the data is slightly skewed to the left since the skewness and kurtosis values both have negative signs. However, the amount of skewness in the data is very little since the skewness and kurtosis values are both between -0.5 and 0.5.

Evaluation

From the above histogram, the symmetrical shape of the histogram shows that the assumption of normality is met. Similarly, the linearity of data and the homogeneity of variance assumptions are met by the data and the analysis results provided.

Multiple Regression: Descriptive Statistics and Assumption Testing

Frequency Distribution Table

From the figure above, the histogram obtained is not bell-shaped. This shows that the data is not normally distributed with a mean of approximately 130. This implies that the assumption of the normality is not met since the data is skewed to the left.

Descriptive Statistics Table

Measurement Scale

The measurement scale used in the data is ratio scale. This is because the dataset values cannot take a negative value, since the smallest value is 103.38

Measure of Central Tendency

The mean value for this data is 124.8359, with a median of 125.721 and a mode of 127.315. The range between the maximum and the maximum value for this data is 37.607, with the maximum value being 140.987and the minimum value being 103.38.

Skewness and Kurtosis

The skewness value for this data is -0.41895. Similarly, the kurtosis value is -0.31419. This therefore implies that the data is slightly skewed to the left since the skewness and kurtosis values both have negative signs. However, the amount of skewness in the data is very little since the skewness and kurtosis values are both between -0.5 and 0.5.

Evaluation

Independent Samples t Test: Descriptive Statistics and Assumption Testing

Frequency Distribution Table

From the figure above, the histogram obtained is a bell-shaped histogram. This shows that the data is normally distributed with a mean of approximately 70. This implies that the assumption of the normality is met since the data is symmetric. However, the figure shows that more data in the datasets lies to the left than those to the right

From the figure above, the histogram obtained is a bell-shaped histogram. This shows that the data is normally distributed with a mean of approximately 86. This implies that the assumption of the normality is met since the data is symmetric.

Descriptive Statistics Table

Measurement Scale

Discuss measurement scale used here (e.g., nominal, ordinal, interval, or ratio).

For both diagrams, the measurement scale used in the data is ratio scale. This is because the dataset values cannot take a negative value, since the smallest value are 50 and 75.

Measure of Central Tendency

For the first diagram, the mean value for this data is 84.77419355, with a median of 85 and a mode of 85. The range between the maximum and the maximum value for this data is 22, with the maximum value being 97 and the minimum value being 75.

For the second diagram, the mean value for this data is 69.79032258, with a median of 70 and a mode of 80. The range between the maximum and the maximum value for this data is 41, with the maximum value being 91 and the minimum value being 50.

The measures of central tendencies are therefore all relevant to the data.

Skewness and Kurtosis

The skewness value for this data is -0.41895. Similarly, the kurtosis value is -0.31419. This therefore implies that the data is slightly skewed to the left since the skewness and kurtosis values both have negative signs. However, the amount of skewness in the data is very little since the skewness and kurtosis values are both between -0.5 and 0.5.

Evaluation

For the first diagram, the mean value for this data is 84.77419355, with a median of 85 and a mode of 85. The range between the maximum and the maximum value for this data is 22, with the maximum value being 97 and the minimum value being 75.

For the second diagram, the mean value for this data is 69.79032258, with a median of 70 and a mode of 80. The range between the maximum and the maximum value for this data is 41, with the maximum value being 91 and the minimum value being 50.

The measures of central tendencies are therefore all relevant to the data.

The parametric test assumptions of linearity and normality were met in the data.

Dependent Samples (Paired-Samples) t Test: Descriptive Statistics and Assumption Testing

Frequency Distribution Table

Histogram

From the figure above, the histogram obtained is skewed to the left. This figure therefore that the data is not normally distributed with a mean of approximately 34. This implies that the assumption of the normality is met since the data is not symmetric.

From the figure above, the histogram obtained is skewed to the left. This figure therefore that the data is not normally distributed with a mean of approximately 34. This implies that the assumption of the normality is met since the data is not symmetric.

Descriptive Statistics Table

Measurement Scale

For both diagrams, the measurement scale used in the data is ratio scale. This is because the dataset values cannot take a negative value, since the smallest values are both 6.

Measure of Central Tendency

For the first diagram, the mean value for this data is 32.85714286, with a median of 35 and a mode of 36. The range between the maximum and the maximum value for this data is 50, with the maximum value being 56 and the minimum value being 6.

For the second diagram, the mean value for this data is 33.28571429, with a median of 36 and a mode of 38. The range between the maximum and the maximum value for this data is 50, with the maximum value being 56 and the minimum value being 6.

The measures of central tendencies are therefore all relevant to the data.

Skewness and Kurtosis

The skewness value for this data is -0.483629097. Similarly, the kurtosis value is -0.654212507. This therefore implies that the data is slightly skewed to the left since the skewness and kurtosis values both have negative signs. However, the amount of skewness in the data is large since the skewness and kurtosis values are both less than -0.5.

Evaluation

From the above diagrams, the skewness and kurtosis values are negative. Similarly, from the above histogram figures, it is clearly shows that the datasets are skewed to the left, thus the assumption of normality is not met. Similarly, since the normality is not met, we conclude that the homogeneity assumptions has not been met either.

ANOVA: Descriptive Statistics and Assumption Testing

Frequency Distribution Table

From the figure above, the histogram obtained is skewed to the left. This figure therefore that the data is not normally distributed with a mean of approximately 9. This implies that the assumption of the normality is not met since the data is not symmetric.

From the figure above, the histogram obtained is approximately normal. This figure therefore that the data is not normally distributed with a mean of approximately 8. This implies that the assumption of the normality is met since the data is approximately symmetric.

From the figure above, the histogram obtained is approximately normal. This figure therefore that the data is not normally distributed with a mean of approximately 6. This implies that the assumption of the normality is met since the data is approximately symmetric.

Descriptive Statistics Table

Measurement Scale

The measurement scale used in the data obtained is the is nominal scale. This is because the data variables such as water, soil and training cannot be categorized according to the order, but rather are random labels whose ordering has no meaning.

For the tables above, the mean value for this data variable is 8.9 with a median of 9 and a mode of 11. The range between the maximum and the maximum value for this data is 11, with the maximum value being 14 and the minimum value being 3.

For the tables above, the mean value for this data for the variable soil is 9.1 with a median of 9 and a mode of 8. The range between the maximum and the maximum value for this data is 7, with the maximum value being 13 and the minimum value being 6.

For the tables above, the mean value for the variable water is 7 with a median of 6 and a mode of 6. The range between the maximum and the maximum value for this data is 9, with the maximum value being 12 and the minimum value being 3.

For the tables above, the mean value for variable training is 5.4 with a median of 5 and a mode of 5. The range between the maximum and the maximum value for this data is 5, with the maximum value being 8 and the minimum value being 3.

Measure of Central Tendency

Skewness and Kurtosis

The skewness value for variable 1 is -0.36085. Similarly, the kurtosis value is -0.6283. This therefore implies that the data is slightly skewed to the left since the skewness and kurtosis values both have negative signs. However, the amount of skewness in the data is small since the skewness value is greater than -0.5.

The skewness value for the variable soil is 0.492002. Similarly, the kurtosis value is 0.11923. This therefore implies that the data is slightly skewed to the right since the skewness and kurtosis values both have positive signs. However, the amount of skewness in the data is small since the skewness value is less than 0.5.

The skewness value for the variable soil is 0.76020. therefore, implies that the data is skewed to the right since the skewness have positive sign. However, the amount of skewness in the data is large since the skewness value is greater than 0.5.

The skewness value for the variable training is 0.159183. therefore, implies that the data is skewed to the right since the skewness have positive sign. However, the amount of skewness in the data is small since the skewness value is less than 0.5.

Evaluation

The parametric test assumption for the homogeneity and normality are not met since the data values are skewed to the right while some are skewed to the left. The linearity assumption is not met either.

References

Include references here using hanging indentations.

Creswell, J. W., & Creswell, J. D. (2018). Research design: Qualitative, quantitative, and mixed methods approaches (5th ed.). SAGE.

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