Linear Regression Quiz Review Part II
Name: ________________________________________ A#___
1. In July 2012, Bradley Wiggins became the first British person to win the Tour de France, cycling’s most
famous race. The table below shows his distance from the finish line in Paris as he rides the 20th and final
stage on the last day of the Tour.
Time Ridden
0.2
0.6
1.1
1.4
1.9
2.1
2.5
(hours)
Distance from
119
101
72
68
42
36
19
Paris (km)
a) Use your calculator to perform a Linear Regression and determine the Line of Best fit. Write the equation.
Round to the nearest hundredth.
b) What is the slope of the line of best fit? What does it mean in the context of the problem?
c) What is the y-intercept of the line of best fit? What does it mean in the context of the problem?
d) Using your line of best fit, predict the distance Wiggins has left to ride after 1.5 hours. Show your work.
Linear Regression Quiz Review Part II
Name: ________________________________________ A#___
1. In July 2012, Bradley Wiggins became the first British person to win the Tour de France, cycling’s most
famous race. The table below shows his distance from the finish line in Paris as he rides the 20th and final
stage on the last day of the Tour.
Time Ridden
0.2
0.6
1.1
1.4
1.9
2.1
2.5
(hours)
Distance from
119
101
72
68
42
36
19
Paris (km)
a) Use your calculator to perform a Linear Regression and determine the Line of Best fit. Write the equation.
Round to the nearest hundredth.
b) What is the slope of the line of best fit? What does it mean in the context of the problem?
c) What is the y-intercept of the line of best fit? What does it mean in the context of the problem?
d) Using your line of best fit, predict the distance Wiggins has left to ride after 1.5 hours. Show your work.
e) Using your line of best fit, predict when the distance to Paris will be less than 10 km. Show your work.
f) Find the correlation coefficient. Then, describe the correlation (strong/weak, positive/negative) in context.
h) Find the residual for 1.1 hours ridden. Show your work.
i) Interpret the meaning of the residual in part h.
e) Using your line of best fit, predict when the distance to Paris will be less than 10 km. Show your work.
f) Find the correlation coefficient. Then, describe the correlation (strong/weak, positive/negative) in context.
h) Find the residual for 1.1 hours ridden. Show your work.
i) Interpret the meaning of the residual in part h.