Proportion at 77mm (%) Average Rainfall Hand Feeding 67 100 1 75 150 0 80 148 0 72 70 1 91 210 0 69 120 1 55 50 1 77 167 0 84 230 0 92 189 0 58 40 1 69 93 1 74 133 0 72 80 1 66 108 1 A farmer who specialises in the production of carpet wool...

50.1K

Verified Solution

Question

Basic Math

Proportion at 77mm (%) Average Rainfall Hand Feeding
67 100 1
75 150 0
80 148 0
72 70 1
91 210 0
69 120 1
55 50 1
77 167 0
84 230 0
92 189 0
58 40 1
69 93 1
74 133 0
72 80 1
66 108 1
A farmer who specialises in the production of carpet wool wherethe sheep are shorn twice per year is seeking a 75-mm-length clipfrom his Tukidale sheep. He believes that the proportion of sheepat each clip meeting this standard varies according to averagerainfall during the six-month growing period and whether additionalhand feeding of high protein sheep nits occurs during the period(because of a shortage of grass cover in the paddocks). Handfeeding is measured as 1 and no hand feeding as 0. Showing ALLformulas and working; a) Predict the proportion at 75mm if therainfall is 180 mm and there is no hand feeding, a construct a 95%confidence interval estimate and 95% prediction interval.
e) Calculate the coefficients of partial determination andinterpret their meaning.
f) Add an interaction term to the model and, at the 0.05 levelof significance, determine whether it makes a significantcontribution to the model.

Answer & Explanation Solved by verified expert

3.5 Ratings (657 Votes)

Load the data into Excel Go to DataMegastat Select the option CorrelationRegression and go to Regression Select average rainfall hand feeding as the independent variable x Select Proportion at 77mm as the dependent variable y Select the predicted value option and type the value 1800 Click OK The output will be as follows R 0795 Adjusted R 0761 n 15 R 0892 k 2 Std Error 5134 Dep Var Proportion at 77mm ANOVA table Source SS df MS F pvalue Regression 12252756 2 6126378 2324 0001 Residual 3163244 12 263604 Total 15416000 14 Regression output confidence interval variables coefficients std error t df12 pvalue 95 lower 95 upper Intercept See Answer

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member

Proportion at 77mm (%)	Average Rainfall	Hand Feeding
67	100	1
75	150	0
80	148	0
72	70	1
91	210	0
69	120	1
55	50	1
77	167	0
84	230	0
92	189	0
58	40	1
69	93	1
74	133	0
72	80	1
66	108	1