Problem 13SE

Monitoring the yield of a particular chemical reaction at various reaction vessel temperatures produces the results shown in the following table.

Temp. (°C) |
Yield (%) |
Temp. (°C) |
Yield (%) |

150 |
77.4 |
250 |
88.9 |

150 |
76.7 |
250 |
89.2 |

150 |
78.2 |
250 |
89.7 |

200 |
84.1 |
300 |
94.8 |

200 |
84.5 |
300 |
94.7 |

200 |
83.7 |
300 |
95.9 |

a. Find the least-squares estimates for β0, β1, and σ2 for the simple linear model Yield = β0 + β1 Temp + ε.

b. Can you conclude that β0 is not equal to 0?

c. Can you conclude that β1 is not equal to 0?

d. Make a residual plot. Does the linear model seem appropriate?

e. Find a 95% confidence interval for the slope.

f. Find a 95% confidence interval for the mean yield at a temperature of 225°C.

g. Find a 95% prediction interval for a yield at a temperature of 225°C.

PSYCH STATS POWERPOINT CHAPTER ONE ● 3 types of stats ○ values ■ batting averages, crime rates, etc. ○ procedures ○ field of study ■ using and applying stats to answer questions ● statistics are the tools we use to learn about various phenomenon ● 3 main functions: ○ organize ○ summarize...