#### MS 150 Statistics quiz three 9.2 linear regression • Name:

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