In making cold-rolled steel, it is known that temperature during rolling and the
ID: 3311333 • Letter: I
Question
In making cold-rolled steel, it is known that temperature during rolling and the amount of additives affect the number of flaws per 20-foot section. To save on testing costs, a manager suggested the plan below for testing combinations of temperatures and additives. Multiple sections of steel would be produced and tested for flaws for each combination. Complete parts (a) and (b).
Temperature
90degrees°
95degrees°
100degrees°
105degrees°
110degrees°
Additive
0.5%
1.0%
1.5%
2.0%
2.5%
If Temperature and Additive are used as predictors together in a multiple regression, will this approach yield useful data? Choose the correct answer below.
A.
No, because there are not enough explanatory variables.
B.
Yes, because the there are enough combinations of treatments and explanatory variables.
C.
No, because the two explanatory variables are highly correlated.
D.
Yes, because the two explanatory variables are uncorrelated.
(b) Should the manager stick to this testing plan, or should he develop an alternative testing plan? If he develops an alternative plan, what should it be? Choose the correct answer below.
A.
The testing plan should have both variables vary independently over a range of commonly used settings.
B.
The testing plan is sufficient and should not be changed.
C.
The testing plan should consider other possible explanatory variables.
D.
The testing plan should only test one of the variables.
Temperature
90degrees°
95degrees°
100degrees°
105degrees°
110degrees°
Additive
0.5%
1.0%
1.5%
2.0%
2.5%
Explanation / Answer
Solution-
Question-A. As visible from the data that as temperature rises, additive rises too and thus explanatory variables are correlated.
Thus answer should be -
C: No, because the two explanatory variables are highly correlated.
Question -B. Considering the above answer, correct answer should be-
A: The testing plan should have both variables vary independently over a range of commonly used settings.
Answers
TY!
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