The data below are the final exam scores of 10 randomly selected statistics students and the number of hours they studied for the exam. Find the equiation of the regression line for the given data.
Hours, x 3 5 2 8 2 4 4 5 6 3
Scores, y 65 80 60 88 66 78 85 90 90 71
a) Does a scatter plot indicate a correlation? If so, is it positive or negative?
b) Find r, check for its significance at alpha = 0.05; use "critical values for the Pearson Correlation Coefficient" table
c) Draw the regression line through the scatter plot and count the number of points it intersects.
d) Explain r squared.
e) Given: x1 = 7hrs, x2=4.5 hrs, Find: y1=? , y2=?
Please explain answers.