Question

1. The chart below records number of hours 12 students spent online during the weekend and the Math test scores they achieved the following Monday.  

Hours on‐line (x)   0      7      5         2         3        5        1        3        5        10           7         6  

Test scores (y)       96    75    84      82      74      76      85      95      68      50          65        58  

a) Find the value of “r”, the linear regression constant  

b) Find the equation of the regression line  

c) Using the regression line, predict, if possible, the Math exam grade if a student was online for: i) 4 hours ii) 5.5 hours iii) 15 hours.

d) Use a scatter plot with the linear regression line on the same graph   

Answer 1

a.

b, d.

c.

Y = 93.97-4.0674 X

i) Y = 93.97-4.0674 * 4 = 77.7004

ii) Y = 93.97-4.0674*5.5 = 71.5993

iii) Y = 93.97-4.0674*15 = 32.959

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