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1) The data given below is milk yield of 28 daughters of 4 sires in 3 herds

630_Correlation coefficient between x and y.png

With a variance components analysis on Minitab, which statement is correct?

a) The analysis cannot be carried out because it is an unbalanced design.

b) The milk yield is an independent variable.

c) "Herd" contributed more variability than "Sire".

d) "Sire" contributed more variability than "Herd".

e) All of above.

f) None of above.

(Problem2) The number of pounds of steam used per month by a chemical plant is thought to be related to the average ambient temperature (in °F) for that month. The past year's usage and temperature are shown in the following table:

780_Correlation coefficient between x and y1.png

Let y = steam usage and x = monthly average temperature.

2) What is the correlation coefficient between x and y?

a) Close to 1.00
b) Close to -1.00
c) Close to 0.50
d) Close to -0.50
e) None of above

3) Find a 99% confidence interval for β1

a) (7.01, 11.90)
b) (8.01, 10.90)
c) (9.01, 9.90)
d) (9.21, 9.70)
e) None of above

4) Find a 99% confidence interval for β0

a) (-49.16, -14.84)
b) (-39.16, -4.84)
c) (-29.16, 4.84)
d) (-49.16, 14.84)
e) None of above

5) Find a 95% confidence interval on mean steam usage when the average temperature is 55°F

a) (497.20, 508.71)
b) (487.20, 518.71)
c) (477.20, 528.71)
d) (467.20, 538.71)
e) None of above

6) What is the distribution of the residuals?

a) N(0, 7.90)
b) N(0, 62.45)
c) N(46.42, 16.87)
d) N(46.42, 284.63)
e) None of above


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