current/amps | voltage/volts |
---|---|

0.00 | 0.0 |

0.15 | 1.0 |

0.18 | 1.5 |

0.25 | 3.0 |

**Linear regression:** On the 15^{th}
of November the physical science students measured current and voltage to determine whether a series of circuits with one, two, and three light bulbs obeyed Ohm's law where Voltage V = current i × resistance R. Their data is shown in the table.

- ______________ Does the relationship between current and voltage appear to be linear, non-linear, or random?
- ______________ Determine the slope of the linear regression (best fit line) for the data.
- ______________ Determine the y-intercept of the linear regression for the data.
- ______________ Determine the correlation coefficient r.
- ______________ Is the correlation positive or negative?
- ______________ Is the correlation none, low/weak, moderate, high/strong, or perfect?
- ______________ Determine the coefficient of determination.
- ______________ What percent in the variation in current "explains" the variation in voltage?
- ______________ What would be the predicted voltage for a current of 0.30 amps?
- ______________ What would be the predicted current for a voltage of 4.5 volts?

Linear regression statistics | |||
---|---|---|---|

Statistic or Parameter | Symbol | Equations | OpenOffice |

Slope | b | =SLOPE(y data; x data) | |

Intercept | a | =INTERCEPT(y data; x data) | |

Correlation | r | =CORREL(y data; x data) | |

Coefficient of Determination | r^{2} | =(CORREL(y data; x data))^2 |