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# Multiple Regression Model: Chicken Data

For poultry companies managing and predicting the weight of chickens before processing is extremely important. Customers such as KFC and Chic-fil-A place tight specifications on bird weight. Worksheet: Chicken Data in data file shows the average weight and several other statistics for 40 flocks of chickens.

Create a single linear regression model with Ave. Wt. as the dependent or response variable and Ave Feed Consumption and Breed as dependent or predictor variables. Include all interaction variables. Make breed Cobb the base or reference category
a. The data contains two outliers.Identify the outliers?
b Can you find an explanation for the outliers?

(Very important: Eliminate the outliers for the rest of the questions).
c. What is the equation for this model?
d. What is the significance level of the model?
e. What are the P-values for the various coefficients?
f. Explain the meaning of the coefficient values.

Data File attached
Data index:
1. Count: Running numbers counting the flocks. The order of the flocks is irrelevant. This field is included for your convenience but should not be included in any of your analysis.
2. Ave. Wt.: The average live weight of the chickens when they are brought to the processing plant. Trucks are weighted empty before picking up the birds. After loading the trucks are reweighted giving the total weight of the birds. As the chickens are processed they are automatically counted. This gives the average weight per bird. This will be the primary parameter of interest for this analysis.
3. Age-Days: Then number of days between when the bird hatched and when it was processed.
4. Temp: The average temperature in degrees Fahrenheit while the birds were in the field.
5. Flock Size: The number of chickens in the flock.
6. Ave. Feed Consumption: The average number of pounds of feed a bird consumed while in the field.
7. Breed: The breed of chickens. Most people think chickens are chickens but, like most animals, there are several breeds. All the chickens in a flock will be the same breed.
8. Farm: The farm or grower that raised the flock.

Chicken Live Flock Data

1 2 3 4 5 6 7 8
Count Ave. Wt. Age-Days Temp Flock Size Ave. Feed Consumption Breed Farm
1 5.47 104 66 6,637 9.82 Cobb Sunny Slope
2 5.63 110 67 8,152 11.29 Cobb Pine Ridge
3 4.18 97 78 10,953 7.72 Cobb West Rock Farm
4 5.25 100 66 9,123 10.3 Roff Bowers' Spread
5 4.8 119 76 10,401 11.19 Cobb Flat Top
6 5.84 104 56 11,144 11.3 Roff Apple Creek
7 4.05 96 71 11,571 8.75 Roff Mole Hill Farm
8 5.76 117 78 8,691 11.44 Cobb Green Meadows
9 6.38 103 75 14,411 9.59 BUTA Harper's
10 4.44 106 74 9,144 8.84 Roff Willow Lake
11 6.61 113 67 8,571 10.96 BUTA Hard Rock
12 4.44 104 76 10,028 8.55 Cobb Clover Hill
13 5.25 99 63 11,751 9.27 Cobb Bridgewater Farms
14 7.03 121 64 13,339 12.1 Cobb KJ
15 6.62 105 69 11,191 10.5 BUTA Spring Creek
16 6.66 116 76 8,397 10.46 BUTA Singers' Glenn
17 4.1 96 63 10,637 9.9 Cobb Hill & Dale
18 6.22 100 77 9,552 8.39 BUTA W & W Poultry Farm
19 4.73 93 63 10,078 9.2 Roff The Peak
20 4.83 114 56 10,933 9.71 Roff Hemlock Road
21 6.39 112 75 10,811 10.86 BUTA Cooper Stream
22 11.5 224 69 2,594 24.3 Cobb Forest Hill Breeding Farm
23 4.32 105 81 10,884 9.77 Cobb Brukeholder's
24 5.06 101 84 9,606 9.86 Cobb RC
25 5.09 112 73 11,693 10.01 Cobb Falling Rock
26 6.79 108 85 10,441 10.35 BUTA East/West Meet
27 4.2 104 76 9,930 9.67 Roff Carver's
28 6.38 102 61 9,672 9.07 BUTA Bout Broke Farm
29 6.13 103 82 12,706 10.93 Cobb 12 Oaks
30 4.61 100 71 8,534 9.01 Cobb A Peace of Heaven
31 6.85 108 65 9,238 11.84 BUTA Winslow's
32 4.87 97 78 8,671 8.62 Cobb Beulah Land
33 6.77 111 70 11,461 10.36 BUTA Cedar Rail
34 4.69 100 73 6,945 9.15 Roff Chaos Farm
35 4.96 100 79 10,898 9.65 Roff Crooked Creek
36 6.54 103 56 11,764 9.01 BUTA Double N
37 6.56 115 79 10,577 12.27 Cobb Peaceful Mountain
38 5.39 95 69 11,063 7.94 Cobb Rock Bottom Farm
39 10.91 203 77 1,616 23.6 Cobb Rosewood Breeding Farm
40 6.85 113 67 10,714 10.54 BUTA Steep Hollow

#### Solution Summary

The solution provides step by step method for the calculation of regression analysis. Formula for the calculation and Interpretations of the results are also included.

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