Criminal investigators would sometimes like to predict the height of a suspect based on limited evidence, such as a footprint. Below is data from a sample of 20 statistics students, comparing footlength (in centimeters) against height (in feet).

This linear regression model has the following relevant statistics. The average y-value is 67.75 and the average x-value is 28.5. The standard deviation of the y-values is 5.0039458 and the standard deviation of the x-values is 3.4450575. The sample size was 20, and the correlation between the two variables is 0.7113662. A formula for the regression line is \[y = 38.3 + 1.033 x\]

Questions

  1. What is the slope of this regression line? What are the units of the slope?

  2. Estimate the height of someone with a 30 cm footprint.