Ten freshman college students were randomly chosen, and for each one, their high school grade-point-average (GPA) and their GPA after one college semester were recorded. Researchers want to study how these variables are related: x . High School GPA 3.3 2.7 2.4 3.0 3.4 2.0 2.9 3.7 3.1 2.2 y. College GPA 2.9 1.8 1.6 2.4 3.2 1.5 2.1 3.5 2.5 1.5 5. Draw the scatter diagram 6. Determine the linear correlation coefficient. 7. Does a linear relation exist between these variables? (The critical r value is 0.632) 8. Find the equation of the least-squares regression line 9. Interpret the slope and the y -intercept of the regression line, if appropriate.
