A Simple Linear Regression Problem Produced the Following Sum of Squares

question 126

Short Answer

A simple linear regression problem produced the following sum of squares: $\sum \left( y _ { i } - \bar { y } \right) ^ { 2 }$ = 240, $\sum \left( y _ { i } - \hat { y } _ { i } \right) ^ { 2 }$ = 60, $\sum \left( \\\hat { y } _ { i } - \bar { y } \right) ^ { 2 }$ = 180
What percentage of the variation in y is explained by the regression line?

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Definitions:

Pituitary Gland

A small, pea-sized gland situated at the base of the brain, crucial for controlling various hormones that regulate growth, metabolism, and reproductive functions.

Synthesized

Synthesized involves combining individual elements or components to form a complex product or substance, often used in the context of chemical compounds or biological elements.

True Hormones

Chemical substances produced in the body that travel through the bloodstream to signal organs and tissues to function or alter their activities.

Target Cells

Target cells refer to blood cells with a specific appearance under a microscope due to alterations in their membrane, often seen in conditions like iron deficiency anemia or thalassemia.