MS 150 Statistics Quiz 04 • Name:

Banana leaf marble roll background rectangle major grid lines axes x-axis and y-axis coordinate labels for the circles below (0,0) (2,35) (4,62) (6,71) (8,75) (10,102) (15,105) (20,139) data points as circles text layers Banana ramp marble launcher height (cm) v measured (cm/s) y-axis labels 0 14 28 42 56 70 83 97 111 125 139 x-axis labels 0.0 2.0 4.0 6.0 8.0 10.0 12.0 14.0 16.0 18.0 20.0

A golf ball rolls down a banana leaf ramp

Data table

height (cm)v measured (cm/s)
00
235
462
671
875
10102
15105
20139

A marble was rolled down a banana leaf ramp. The release height of the marble above the table was recorded. The resulting speed (velocity) of the marble was measured after the marble left the bottom of the ramp.

  1. ______________ Determine the slope of the linear regression (best fit line) for the data.
  2. ______________ Determine the y-intercept of the linear regression for the data.
  3. ______________ Use the slope and intercept to calculate the predicted velocity for a marble release height of 12 cm.
  4. ______________ Use the slope and intercept to predict the marble release height for a velocity of 120 cm/s.
  5. ______________ Does the relationship between height and velocity appear to be linear (straight), non-linear (curved), or random (no relationship)?