**Question 1: [-/1 Points]****DETAILS****BBUNDERSTAT11 9.2.002.**In the least-squares line $ \hat{y} = 5 + 3x $, what is the marginal change in $ \hat{y} $ for each unit change in $ x $?[Submit Answer]**Explanation:**The question relates to understanding linear regression, specifically the interpretation of the slope in the least-squares regression equation. The equation given is $ \hat{y} = 5 + 3x $, where:- $ \hat{y} $ is the predicted value of the dependent variable.- $ 5 $ is the y-intercept, indicating the value of $ \hat{y} $ when $ x = 0 $.- $ 3 $ is the slope of the line, representing the marginal change in $ \hat{y} $ for each unit change in $ x $. This means for every one unit increase in $ x $, $ \hat{y} $ increases by 3 units.There are no graphs or diagrams in this image.

Since , the regression equation is given by , y^=5+3x Our aim is to find the marginal change in y^…

Answered: In the least-squares line y -5+ 3x,…

MATLAB: An Introduction with Applications

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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. contact us help 6:42 PM povecy polcy terms of use careers A E O 4») 18 -క90.4 58 12/14/2020 a 17 |耳即 delets prt sc insert 112 19 18 + 16 backspace f5 fA
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In the least-squares line y -5+ 3x, what is the marginal change in y for each unit change in x?