Question:

Xi: 65, 58, 93, 68, 74, 81, 58, 85, 88, 75, 63, 79, 80, 54, 72 (calculus grades for a sample of 15 students)

Yi: 74, 72, 84, 71, 68, 85, 63, 73, 79, 65, 62, 71, 74, 68, 73 (stat grades for the same 15 students).

Hint: Pair Xi and Yi in the same order; example (65, 74); (58, 72)... and so on.

A professor is trying to see if grades earned in Calculus prior to taking Stat have a linear relationship with grades earned in Statistics. So, the professor looks at a 15 couples of grades for 15 students who took Stat right after calculus.

A) Graph the points B) Calculate the slope, the y-intercept (as applicable) C) Write the equation of the regression line D) Calculate R and R-squared E) Interpret your findings.