Six students provided the length of time they studied for a sociology exam and the grade they received.

(a) Construct a scatter diagram placing the time studied on the horizontal axis. 

(b) Use the scatter diagram in part (a) to determine whether you believe a correlation exists between the time studied and the grade received. 

(c) Determine the correlation coefficient between the time studied and the grade received.

(d) Determine whether a correlation exists at α = 0.01.    

(e) Determine the equation of the line of best fit, y  = mx + b, between the time studied and the grade received. Round both m and b to the nearest hundredth. 

(f)  Use the equation in part (e) to estimate the grade received for a student who studied for 75 minutes.

Transcribed Image Text:

Time studied (minutes) 50 20 40 80 100 92 40 45 70 76 Grade received (percent) 95 20