Neurologists have found that the hippocampus, a structure located in the brain, plays an important role inshort-term memory. Data was collected on 21 Vietnam veterans with combat related post-traumatic stressdisorder. Magnetic resonance imaging was used to measure the volume of the right hippocampus (in cubicmillimeters) of each subject, while the verbal memory retention of each subject was measured by thepercent retention subscale of the Wechsler Memory Scale.The least squares line relating verbal memory (y) with right hippocampal volume (x) was found to be4 + 3x. The slope of the regression line can be interpreted in the following way:ŷ=When right hippocampal volume decreases by one cubic millimeter, the verbal memory scoreincreases by 3%.When right hippocampal volume decreases by one cubic millimeter, the verbal memory scoreincreases by 4%.When right hippocampal volume increases by one cubic millimedecreases by 3%.the verbal memory scoreWhen right hippocampal volume increases by one cubic millimeter, the verbal memory scoreincreases by 4%.O When right hippocampal volume increases by one cubic millimeter, the verbal memory scoreincreases by 3%.

The regression line is given by y = 4 + 3x. Where, y = verbal memory and X = right hippocampul…

Answered: The least squares line relating verbal…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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The least squares line relating verbal memory (y) with right hippocampal volume (x) was found to be ŷ = 4 + 3x. The slope of the regression line can be interpreted in the following way: