MS 150 Statistics quiz three 9.2 linear regression • Name:

q03 (6K)

Jacks ball
Drop/cm (x)Bounce/cm (y)
00
105
1810
2515
2823
3020
  1. ______________ Does the relationship appear to be linear, non-linear, or random?
  2. ______________ Determine the slope of the linear regression for the data.
  3. ______________ Determine the y-intercept of the linear regression for the data.
  4. ______________ Determine the correlation coefficient r.
  5. ______________ Is the correlation positive or negative?
  6. ______________ Is the correlation none, weak, moderate, strong, or perfect?
  7. ______________ Determine the coefficient of determination.
  8. ______________ What percent in the variation in the drop "explains" the variation in the bounce?
  9. ______________ Use the slope and intercept above to calculate the predicted bounce for a drop of 21 centimeters.
  10. ______________ Use the slope and intercept to solve for the predicted drop that will produce a bounce of 7 cm.
  11. ______________ For the following example, presume that the linear relationship holds beyond the maximum x-value. Use the slope and intercept above to calculate the predicted bounce for a drop of 260 centimeters.
  12. ______________ Is there any one data point that looks like it might be an error?
  13. ______________ Which specific drop and bounce data point, if any, looks like it might be in error?
  14. If you picked a point as being an error, why did you pick that point?
Linear Regression Functions
Statistic or ParameterMath symbolStat symbolOpenOffice
Slopemb=slope(y-data;x-data)
Interceptba=intercept(y-data;x-data)
Correlation r=correl(y-data;x-data)
Coefficient of Determination r2 =(correl(y-data;x-data))^2

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