Linear Regression
Description
The training stress score (TSS) is used to quantify cycling workout based on relative intensity and duration of the workout. Work (measured in kilojoules) is the actual work done during the cyclists workout. The following R commands calculates the regression line to predict the TSS from the amount of work done. In this case, our estimated simple regression equation is
(1)\begin{align} \hat{y} = 0.0923 x -7.6823. \end{align}
To use R in a Sage cell, the language must be set to R. See https://github.com/sagemath/sagecell/blob/master/doc/embedding.rst for details.
Sage Cell
Code
work <- c(557, 1227, 337, 2073, 388, 1647, 348, 1241, 1583, 349, 1155)
tss <- c(40, 107, 25, 178, 29, 139, 21, 119, 144, 23, 97)
fit <- lm(tss~work)
fit
Options
None
Tags
Primary Tags: Statistics: Simple linear regression
Secondary Tags: Simple linear regression: Regression
Related Cells
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Author: T. Judson
Date: 21 Jul 2017 09:23
Submitted by: Tom Judson