Question

"A producer of various feed additives for cattle conducts a study of the number of days of feedlot time required to bring beef cattle to market weight. Eighteen steers of essentially identi- cal age and weight are purchased and brought to a feedlot. Each steer is fed a diet with a specific combination of protein content, antibiotic concentration, and percentage of feed supplement. The data are as follows:

STEER   PROTEIN ANIBIO  SUPPLEM TIME
1       10      1       3       88
2       10      1       5       82
3       10      1       7       81
4       10      2       3       82
5       10      2       5       83
6       10      2       7       75
7       15      1       3       80
8       15      1       5       80
9       15      1       7       75
10      15      2       3       77
11      15      2       5       76
12      15      2       7       72
13      20      1       3       79
14      20      1       5       74
15      20      1       7       75
16      20      2       3       74
17      20      2       5       70
18      20      2       7       69

5. Give a 95% confidence interval for β1. Interpret your confidence interval.

6. Determine whether ANTIBIO has statistically significant predictive value when entered as the last predictor in the equation. Conduct a statistical test and include all steps of a hypothesis test.

7. Determine whether the three predictors together have statistically significant predictive value. Conduct a statistical test and include all steps of a hypothesis test.

Answer 1

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