What is the theory behind linear contrasts? Specifically, can you intuitively explain the mathematical idea behind how and why linear contrasts work using terms like cross product, regression coefficient, weights, etc.,?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section: Chapter Questions
Problem 8PT: Does Table 1 represent a linear function? If so, finda linear equation that models the data.
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What is the theory behind linear contrasts? Specifically, can you intuitively explain the mathematical idea behind how and why linear contrasts work using terms like cross product, regression coefficient, weights, etc.,? 

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