Part III • Name:

In physical science laboratory 042 one group hypothesized that there is a relationship between the mass of a marble rolled down a ramp from a constant height and the speed of the marble at the bottom of the ramp.

Mass (g) Speed (cm/s)
4.832
5.028
5.227
5.327
6.130
  1. _________ Calculate the sample size n.
  2. _________ Calculate the slope of the linear regression.
  3. _________ Calculate the y-intercept of the linear regression.
  4. _________ Calculate the correlation coefficient r for the data.
  5. _________ Is there a relationship between mass and speed?
  6. Why or why not?


    Another group hypothesized that there is a relationship between the speed of the inbound marble to a collision with another marble and the speed of the outbound marble after the collision. The table presents their data.
    speed in (cm/s)speed out (cm/s)
    0 0
    24 11
    38 28
    46 38
    71 40
  7. _________ Calculate the slope of the linear regression.
  8. _________ Calculate the y-intercept of the linear regression.
  9. _________ Calculate the correlation coefficient r for the data.
  10. _________ Is there a relationship between speed in and speed out?
  11. Why or why not?