Week 4- Assignment 2

2. Testing Assumptions Correlation Pearson's Correlations Variable   quiz1 gpa total final 1. quiz1 Pearson's r — p-value —       2. gpa Pearson's r 0.152 — p-value 0.121 —     3. total Pearson's r 0.797 ** * 0.318*** — p-value < .001 < .001 —   4. final Pearson's r 0.499 ** * 0.379*** 0.875*** — p-value < .001 < .001 < .001 — * p < .05, ** p < .01, *** p < .001 In assessing the normality of the variables GPA, quiz1, total, and final, we examined the skewness and kurtosis values. The skewness values for GPA, quiz1, total, and final indicated a slight to moderate leftward skew, while the kurtosis values suggested a range from platykurtic (lighter tails) to leptokurtic (heavier tails) distributions. These values are within the acceptable range for assuming normality, typically where the absolute value of skewness is less than 2 and kurtosis is less than 7. Therefore, we can conclude that the assumption of normality is not violated for these variables, and it is appropriate to proceed with Pearson’s correlation analysis. However, it’s worth noting that these values only suggest normality, and additional confirmation could be obtained through visual inspections such as histograms or Q-Q plots. 3.Results and Interpretations Descriptive Statistics   gpa quiz1 total final Valid 105 105 105 105 Missing 0 0 0 0 Mean 2.862 7.467 100.086 61.838 Std. Deviation 0.713 2.481 13.427 7.635 Minimum 1.080 0.000 54.000 40.000 Maximum 4.000 10.000 123.000 75.000