🔍 Chapter 8: Correlation, Regression & Culminating Investigation

Compute the slope of the line through points \( (2, 5) \) and \( (8, 17) \). Then write the equation of the line in the form \( y = mx + b \).

For the line \( y = 3x + 2 \), predict \( y \) when:
a) \( x = 5 \)    b) \( x = 0 \)    c) \( x = -1 \)

For the data \( x: 1, 2, 3, 4, 5 \) and \( y: 4, 7, 11, 14, 19 \):
a) Compute \( \bar{x} \) and \( \bar{y} \).
b) Plot the points on a sketch (describe what the scatter looks like).
c) Does the relationship appear linear?

A line passes through (3, 8) and has slope 2. Write its equation in slope-intercept form \( y = mx + b \).

For the data set 5, 7, 8, 10, 12, compute the standard deviation \( s \) (sample). Show steps.

Reflection: As you prepare for the culminating investigation in Strand D, what real-world topic involving two-variable data would you most like to explore (e.g., student stress vs sleep, study time vs grade, social-media use vs mental-health)?