MS 150 Statistics Quiz 04 • Name:

Distance versus pace background rectangle major grid lines axes x-axis and y-axis data points as circles text layers Distance versus running speed Distance (km) Speed (kph) y-axis labels 8.3 8.6 8.8 9.1 9.4 9.7 9.9 10.2 10.5 10.7 11.0 x-axis labels 3.6 5.2 6.8 8.4 10.0 11.7 13.3 14.9 16.5 18.1 19.7

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
Badger state trail, Monroe, Wisconsin14.28.6
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?