exams.forge (version 1.0.11)

lm1_data: Simple Linear Regression and Data Generation

Description

Creates data suitable for a simple linear regression. In the first step, data is computed using pearson_data(), satisfying the conditions \(\sum_{i=1}^{nmax} x_i^2 = n\) and \(\sum_{i=1}^{nmax} x_i = 0\) (similar conditions apply to \(y\). The data are then rescaled with \(x' = center[1]+scale[1]*x\) and \(y' = center[2]+scale[2]*y\). Finally, a simple linear regression is performed on the transformed data.

Usage

lm1_data(
  r,
  n = 100,
  nmax = 6,
  maxt = 30,
  xsos = NULL,
  ysos = NULL,
  center = numeric(0),
  scale = numeric(0),
  ...
)
slr_data(
  r,
  n = 100,
  nmax = 6,
  maxt = 30,
  xsos = NULL,
  ysos = NULL,
  center = numeric(0),
  scale = numeric(0),
  ...
)

Value

Returns an extended lm object and the additional list elements:

• inter contains intermediate results (the last column contains the row sums), and

• xy the generated \(x\)- and \(y\)-values.

Arguments

r

numeric: desired correlation

n

integer: number to decompose as sum of squares, see pearson_data().

nmax

integer: maximal number of squares in the sum, see pearson_data().

maxt

numeric: maximal number of seconds the routine should run, see pearson_data().

xsos

sos matrix: precomputed matrix, see pearson_data().

ysos

sos matrix: precomputed matrix, see pearson_data().

center

numeric(2): center of x and y data

scale

numeric(2): standard deviation for x and y data

...

further named parameters given to stats::lm()

Examples

data(sos100, package="exams.forge")
n   <- sample(5:10, 1)
lm1 <- lm1_data(0.6, nmax=n, xsos=sos100)
str(lm1)