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

## Attribute

Permalink:

Author: T. Judson

Date: 21 Jul 2017 09:23

Submitted by: Tom Judson