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…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A least squares regression line was calculated to relate the length (cm) of newborn boys to their weight in kg. The line is weight = -5.69 + 0.1656 length. A newborn was 48cm long and weighed 33kg. According to the regression model, what was his residual? What does that say about him?
Interest rates for home mortgages have, in general, declined during recent months. With the apparent favorable influence for new-home building, there seems to be a clear relationship between x = the prevailing mortgage interest rate and y = the number of new houses being built per month in a Midwestern city over a period of 18 months. A scatterplot of the data collected shows that the linear model is appropriate. The equation of the least-squares regression line is Number of new houses = 672.89- 30.65 x Interest rate and ² = 0.49. What is the correlation coefficient between Interest rate and Number of new houses being built? (Give your answer to one decimal place.)
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At the right is the computer output for a regression analysis involving starting salary (in $1,000) and college GPA. What is the equation for the least squares regression line? (A) GPA -0.734 +11.82(Salary) (B) Salary -0.734 +11.82(GPA) Variable Coef s.e. P Constant -0.73391 5.744 -0.128 0.9015 OPA 11.8204 1.040 6.4 0.0002 3.772 R-sq=83.5% R-sq(adj)=81.6% Source df SS MS F Regression 1581.790 501.798 40.9 Residual 8 113.802 14.2252 = (C) GPA 0.9015+ 0.0002(Salary) - (D) Salary 5.744 +1.848(GPA) (E) Salary 1.848 +11.82(GPA)
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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: