In a study of the surface temperatures of vital (living) and non-vital (dead) teeth in a random sample of 32 adults seeking dental care at a university clinic, temperatures of vital and non-vital teeth were measured for each individual. The computer output shown below was generated. 
a)What proportion of observed variation in the surface temperature of vital teeth can be explained by the surface temperature of non-vital teeth?
b)Does the simple linear regression model appear to be useful? Justify your response with specific references to the computer output.
Definitions:
Translation
The process of converting text or speech from one language to another.
Tautology
A redundant or repetitive statement in which the conclusion is equivalent to the premise.
Logic of Statements
Concerns the principles and criteria for evaluating the validity and coherence of declarative sentences that assert something.
Conjunction
A grammatically correct construction used to assert that two statements are both true.
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