This data set represents attributes that affect the an individual’s sleep quality. We will look at different variables that have been measured in subjects to determine which of these factors have the largest affect on how well people sleep and some that may present signs of poor rest.

https://www.kaggle.com/datasets/hanaksoy/health-and-sleep-statistics

Scatter Plot: \(\text{Sleep Quality} = \beta_0 + \beta_1 \cdot \text{Daily Steps} + \varepsilon; \hspace{1.5cm} \varepsilon \sim \mathcal{N}(0; \sigma^2)\)
           Fitted: \(\text{Sleep Quality} = \hat{\beta_0} + \hat{\beta_1} \cdot \text{Daily Steps} \hspace{2.3cm} \hat{\beta_0} = b_0 - \text{estimate of } \beta_0;\)   \(\hat{\beta_1} = b_1 - \text{estimate of } \beta_1\)

lm(Sleep.Quality ~ Daily.Steps, sleep)

## 
## Call:
## lm(formula = Sleep.Quality ~ Daily.Steps, data = sleep)
## 
## Coefficients:
## (Intercept)  Daily.Steps  
##   2.3701283    0.0006779

Regression Coefficient of sleep quality based off daily steps is .00068.

Scatter Plot: \(\text{Sleep Quality} = \beta_0 + \beta_1 \cdot \text{Clories Burned} + \varepsilon; \hspace{1.5cm} \varepsilon \sim \mathcal{N}(0; \sigma^2)\)
           Fitted: \(\text{Sleep Quality} = \hat{\beta_0} + \hat{\beta_1} \cdot \text{Calories Burned} \hspace{2.1cm} \hat{\beta_0} = b_0 - \text{estimate of } \beta_0;\)   \(\hat{\beta_1} = b_1 - \text{estimate of } \beta_1\)

lm(Sleep.Quality ~ Calories.Burned, sleep)

## 
## Call:
## lm(formula = Sleep.Quality ~ Calories.Burned, data = sleep)
## 
## Coefficients:
##     (Intercept)  Calories.Burned  
##        -7.54909          0.00601

Regression Coefficient of sleep quality based off daily steps is .0061.

lm(Sleep.Quality ~ Age, sleep)

## 
## Call:
## lm(formula = Sleep.Quality ~ Age, data = sleep)
## 
## Coefficients:
## (Intercept)          Age  
##     13.2688      -0.1741

Regression Coefficient of sleep quality based off age is -0.1741.

Description of Findings:

As seen in the plots of the previous pages consistent exercise, such as walking, is directly correlated to better sleep quality. It also is a great way to burn more calories, which also directly impacts how well one sleeps.

Also, as displayed on the final plot, taking sleep medication doesn’t completely solved any issues with obtaining beneficial rest. Individuals that have trouble getting a good night’s rest, even with help of medication, still need to be active in their daily lives in order to sleep well at night.