DATA 606 - Inference of Numerical Data

Speed and height. 1,302 UCLA students were asked to fill out a survey where they were asked about their height, fastest speed they have ever driven, and gender. The scatterplot on the left displays the relationship between height and fastest speed, and the scatterplot on the right displays the breakdown by gender in this relationship.

• Apparent positive relation
• Fit a line using:
  \( y=\beta_{0}+\beta_{1} x \)
• Lots of residuals:
  \( e_{i}=y_{i}-\hat{y}_{i} \)
• Presence of outliers

Speed (Response) appears to be linearly proportional height (predictor)

• Gender does plays a role
• Probably…
• Is it a linear relationship or a cluster?