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An Experiment Was Performed on a Certain Metal to Determine

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An experiment was performed on a certain metal to determine if the strength is a function of heating time. Results based on 10 metal sheets are given below. Use the simple linear regression model.
∑X = 30
∑X2 = 104
∑Y = 40
∑Y2 = 178
∑XY = 134
Determine the value of the F statistic.


Definitions:

Categorical Data

Data that fit into distinct categories such as zip code or academic major.

Continuous Data

Data with incremental values between the minimum and maximum. For example, age can have values of years, months, weeks, days, hours, minutes, or seconds.

Frequencies

The counts or occurrences of specific events or characteristics in a set of data.

Central Tendency

A statistical measure that identifies a single value as representative of the middle of a dataset, commonly by using the mean, median, or mode.

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