A7

1. Last evaluation and number of projects

## 
##  Pearson's product-moment correlation
## 
## data:  hr$last_evaluation and hr$number_project
## t = 45.656, df = 14997, p-value < 2.2e-16
## alternative hypothesis: true correlation is not equal to 0
## 95 percent confidence interval:
##  0.3352028 0.3633053
## sample estimates:
##       cor 
## 0.3493326

The p-value < 2.2e-16 is extremely small, indicating the correlation is highly significant. This means the relationship between last_evaluation and number_project is unlikely to be due to chance.

The correlation coefficient (0.3493) shows a moderate positive relationship. This means employees with higher performance evaluations tend to be involved in more projects. While the relationship isn’t perfect, there’s a clear pattern where better-evaluated employees are generally handling more projects.

2. Satisfaction level and time spend at company

## 
##  Pearson's product-moment correlation
## 
## data:  hr$satisfaction_level and hr$time_spend_company
## t = -12.416, df = 14997, p-value < 2.2e-16
## alternative hypothesis: true correlation is not equal to 0
## 95 percent confidence interval:
##  -0.11668153 -0.08499948
## sample estimates:
##        cor 
## -0.1008661

P-value Interpretation: The p-value < 2.2e-16 is highly significant, meaning the correlation is unlikely due to chance.

Non-Technical Interpretation: There’s a weak negative correlation, suggesting employees who have been at the company longer tend to report slightly lower satisfaction, though the effect is minimal.

3. number of projects and average monthly hours

## 
##  Pearson's product-moment correlation
## 
## data:  hr$number_project and hr$average_montly_hours
## t = 56.219, df = 14997, p-value < 2.2e-16
## alternative hypothesis: true correlation is not equal to 0
## 95 percent confidence interval:
##  0.4039037 0.4303411
## sample estimates:
##       cor 
## 0.4172106

The p-value < 2.2e-16 is extremely small, meaning the correlation is highly significant. This indicates the relationship between number_project and average_monthly_hours is unlikely to be due to chance.

The correlation coefficient (0.4172) shows a moderate positive relationship. This means employees who are involved in more projects generally tend to work more hours per month.

4. Satisfaction level and average monthly hous

## 
##  Pearson's product-moment correlation
## 
## data:  hr$satisfaction_level and hr$average_montly_hours
## t = -2.4556, df = 14997, p-value = 0.01408
## alternative hypothesis: true correlation is not equal to 0
## 95 percent confidence interval:
##  -0.036040356 -0.004045605
## sample estimates:
##         cor 
## -0.02004811

The p-value = 0.01408 is less than 0.05, meaning the correlation is statistically significant. However, since the correlation is very weak, the relationship is not practically meaningful despite its significance.

The correlation coefficient (-0.0200) indicates a very weak negative relationship. This suggests that as average monthly hours increase, satisfaction levels tend to decrease slightly, but the effect is minimal and likely not impactful in a real-world setting.