The linear regression equation is y = 61.93x - 1.79. Use the equation to predict how far this person will travel after 10 hours of driving. Time Driving (Hours) = 0, 1, 2, 3, 4, 5, 6 Total Distance (Miles) = 0, 55, 120, 188, 252, 307, 366 a. 10 miles b. 0.19 miles c. 617.5 miles d. 500 miles
Question
The linear regression equation is y = 61.93x - 1.79. Use the equation to predict how far this person will travel after 10 hours of driving.
Time Driving (Hours) = 0, 1, 2, 3, 4, 5, 6 Total Distance (Miles) = 0, 55, 120, 188, 252, 307, 366
a. 10 miles b. 0.19 miles c. 617.5 miles d. 500 miles
Solution
To use the linear regression equation to predict how far this person will travel after 10 hours of driving, you simply substitute the value of 10 for x in the equation.
The equation is y = 61.93x - 1.79.
Substituting 10 for x gives:
y = 61.93(10) - 1.79 y = 619.3 - 1.79 y = 617.51 miles
So, the person is predicted to travel approximately 617.51 miles after 10 hours of driving.
Therefore, the closest answer is:
c. 617.5 miles
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