A
class="ecbx-1000">multiple linear regression (MLR) model that describes a dependent variable

class="cmmi-10">y by independent variables
class="cmmi-10">x_{
class="cmr-7">1},
class="cmmi-10">x_{
class="cmr-7">2}, …,
class="cmmi-10">x_{
class="cmmi-7">p} (
class="cmmi-10">p > 1) is expressed by the equation as

follows, where the numbers
class="cmmi-10">α and
class="cmmi-10">β_{
class="cmmi-7">k} (
class="cmmi-10">k = 1, 2, …,
class="cmmi-10">p) are the
class="ecbx-1000">parameters, and
class="cmmi-10">ϵ is the

class="ecbx-1000">error term.

src="http://www.r-tutor.com/content/multiple-regression0x.png" alt="y = α+ ∑ β x + ϵ

k k k

" class="par-math-display" />
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**Tags:** Elementary Statistics with R, linear regression