Biologist Theodore Garland, Jr. studied the relationship between running speeds and morphology of 49 species of cursorial mammals (mammals adapted to or specialized for running). One of the relationships he investigated was maximal sprint speed in kilometers per hour and the ratio of metatarsal-to-femur length. A least-squares regression on the data he collected produces the equation y = 37.67 + 33.18x where x is metatarsal-to-femur ratio and y is predicted maximal sprint speed in kilometers per hour. The standard error of the intercept is 5.69 and the standard error of the slope is 7.94. Construct a 96% confidence interval for the slope of the population regression line. Give your answers precise to at least two decimal places.
Biologist Theodore Garland, Jr. studied the relationship between running speeds and morphology of 49 species of cursorial mammals (mammals adapted to or specialized for running). One of the relationships he investigated was maximal sprint speed in kilometers per hour and the ratio of metatarsal-to-femur length. A least-squares regression on the data he collected produces the equation y = 37.67 + 33.18x where x is metatarsal-to-femur ratio and y is predicted maximal sprint speed in kilometers per hour. The standard error of the intercept is 5.69 and the standard error of the slope is 7.94. Construct a 96% confidence interval for the slope of the population regression line. Give your answers precise to at least two decimal places.
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 34EQ
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the intercept is 5.69 and the standard error of the slope is 7.94.
Construct a 96% confidence interval for the slope of the population regression line. Give your answers precise to at least
two decimal places.
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Garland, Theodore, Jr and Janis, Christine M. Does metlatarsal/lemur ratio predict maximal running speed in cursorial mammals?, Journal of Loelogy 229, 133-151.
https://pdfs.semanlicscholar.org/91al/534a045adld276408c1lea054b8d1479ef7c.pdf. Last accessed 20 Apr 2017.
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Transcribed Image Text:Biologist Theodore Garland, Jr. studied the relationship between running speeds and morphology of 49 species of cursorial
mammals (mammals adapted to or specialized for running). One of the relationships he investigated was maximal sprint
speed in kilometers per hour and the ratio of metatarsal-to-femur length.
A least-squares regression on the data he collected produces the equation
ŷ = 37.67 + 33.18x
where x is metatarsal-to-femur ratio and y is predicted maximal sprint speed in kilometers per hour. The standard error of
the intercept is 5.69 and the standard error of the slope is 7.94.
Construct a 96% confidence interval for the slope of the population regression line. Give your answers precise to at least
two decimal places.
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