In a simple linear regression based on 30 observations,the following information is provided: 
and 
.Also, 
evaluated at 
is 1.3.
A)Construct a 95% confidence interval for E(y)if x = 20.
B)Construct a 95% prediction interval for y if x = 20.
Definitions:
Overhead Volume Variance
The difference between the budgeted and actual volume of activity, applied to the fixed manufacturing overhead rate, indicating efficiency in using production capacity.
Standard Hours
The set amount of time that a task is expected to take under normal working conditions.
Normal Capacity
The average production or operational level expected to be achieved under normal conditions, factoring in regular downtime and operational constraints.
Overhead Volume Variance
The difference between the budgeted overhead costs and the actual overhead incurred, based on the volume of production.
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