Algebra 1 Module 1 Topic 3 Assignment Lesson 1 Day 2: Least Squares Regressions Directions: Given the scenario below, answer the following questions. 1. Hours of sleep the night before the ACT and score on the ACT: Sleep Score (in hours) 8 25 9 28 7 21 10 26 8.5 18 3. 5 16 5.5 25 11 28 sleep 9 29 7 19 f. Suppose someone slept 9.25 hours, predict their 6 26 score using the least-squares regression equation. 7.5 23 8.5 24 6.5 27 8.5 21 g. Is Part f considered an interpolation or 10 19 extrapolation? Explain. 9 20 a. Label the axes of the scatterplot. h. Suppose someone slept 12 hours, predict their score b. Calculate the equation of the least-squares regression using the least-squares regression equation. line, y = ax + b. Equation: i. Is Part h considered an interpolation or extrapolation? Explain. C. Interpret the slope of the regression equation in context. Interpret the y-intercept of the regression equation in context. e. The relationship between amount of sleep and ACT score is increasing/decreasing