# MS 150 Statistics Quiz 04 • Name:

Data table

LocationDistance (km)Speed (kph)
Forest loop lap3.68.3
Spanish wall OAB4.111.0
Lower Town Loop Right4.88.8
Airport OAB7.98.8
Nett Bridge → Spanish Wall8.98.4
Airport OAB + Dainy9.79.0
PICS loop + Airport OAB10.19.7
PICS via KasEl Koahn10.28.9
Palipowe → Spanish Wall11.68.7
Second bridge in U OAB13.38.8
Yellowstone State Park, Wisconsin14.48.7
County C, LaFayette County, Wisconsin16.69.1
INS Half Marathon Pohnpei19.79.5

I noted in one section that a distance runner runs at a fixed speed, and that I tend to run the same speed regardless of whether the distance is long or short. The data table contains a sample of runs including the location and route of a run, the distance in kilometers, and my speed in kilometers per hour.

1. ______________ Determine the slope of the linear trend line for the data.
2. ______________ Determine the y-intercept of the linear trend line for the data.
3. ______________ Use the slope and intercept to calculate the predicted speed for a distance of 18 km.
4. ______________ Use the slope and intercept to predict the distance for a speed of 9 kph.
5. ______________ Determine the correlation r.
6. ______________ What is the strength of relationship?
7. ______________ Determine the coefficient of determination.
8. ______________ Based on the strength of the correlation, is the linear trend line able to accurately model the relationship between the distance I run and the speed at which I run?
9. ______________ Does the analysis you did above provide support or contradict my statement that I tend to run at the same speed regardless of the distance?