The Summary Statistics for a Certain Set of Points Are $\sum { ( x - \bar { x } ) ^ { 2 } }$

question 15

Short Answer

The summary statistics for a certain set of points are: n=10, s_e=3.199, $\sum { ( x - \bar { x } ) ^ { 2 } }$ =11.257, and $\beta _ { 1 }$ =1.704 . Assume the conditions of the linear model hold. A 99% confidence interval for $\beta _ { 1 }$ will be constructed.
i). How many degrees of freedom are there for the critical value?
ii). What is the critical value?
iii). What is the margin of error?
iv). Construct the 99% confidence interval.

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Definitions:

FR(%)

Failure Rate (Percent), a measure often used in reliability engineering to indicate the likelihood of failure per unit of time.

MTBF

Mean Time Between Failures, a reliability metric that measures the average time between failures of a system or component.

System Reliability

The probability that a system will perform its intended function without failure over a specified period.

System Reliability

The probability that a system will perform its intended function without failure under specified conditions for a designated period of time.