Birth weight and Grease fleece weight were measured on six sheep; these measurem
ID: 265658 • Letter: B
Question
Birth weight and Grease fleece weight were measured on six sheep; these measurements are given in the following table.
Birth Weight (lb)
Grease Fleece Weight (lbs)
10
12
12
11
10
12
8
9
9
11
8
9
Mean
Variance
Calculate the correlation coefficient and regression for birth weight and grease fleece weight in these sheep. Identify your answers and show units where possible. (2 pts)
Define the answers (a) in words. (2 pt)
Using means and regression coefficient you calculated already, predict the Fleece Weight of a sheep weighed 16lbs at birth? (2 pt)
Birth Weight (lb)
Grease Fleece Weight (lbs)
10
12
12
11
10
12
8
9
9
11
8
9
Mean
Variance
Explanation / Answer
Mean of Birth weight =9.5 lb
Mean of greece fleece weight = 10.66 lb
variance of birth weight = 2.3 lb
variance of greece fleece weight = 1.86 lb
Correlation coefficient for birth weight and greace fleece weight in these sheep? = 0.5 . This means that birth weight and greace fleece weight have a positive association
regression for birth weight and grease fleece weight in these sheep = 0.6 . This means that as birthweight increases by 1 unit, greece fleece weight also changes by 0.6 unit. The values are interdependent.
By regression analysis, Fleece Weight of a sheep weighing 16lbs at birth = 14.62 lb
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