# Question: the following table gives the bushels of corn per acre...

###### Question details

- The following table gives the bushels of corn per acre, y resulting from the use of the various amounts of fertilizer in pounds per acre, x, produced on a farm in each of 10 years from 1971 to 1980.

Year |
n |
y |
x |

1971 |
1 |
40 |
6 |

1972 |
2 |
44 |
10 |

1973 |
3 |
46 |
12 |

1974 |
4 |
48 |
14 |

1975 |
5 |
52 |
16 |

1976 |
6 |
58 |
18 |

1977 |
7 |
60 |
22 |

1978 |
8 |
68 |
24 |

1979 |
9 |
74 |
26 |

1980 |
10 |
80 |
32 |

- What is the simple linear regression population model?

- What is the estimated simple linear regression model in notation form?

- What are the estimated intercept and slope? Interpret the estimated intercept and slope.

- Write the estimated simple linear regression model using the estimated intercept and slope?

- If 18 pounds of fertilizer is used, what are:

- the actual bushel of corn per acre yielded,

- the fitted value of the regression line, and

- the value of the residual. Does the residual lie above or below the regression line? Please explain.

- Calculate the SST, SSE, and SSR of the model.

- Calculate the estimated variances and the standard errors of and .

- Calculate the R
^{2}term of the estimated model and interpret the R^{2}term.