Question 1205332
{{{xi}}}
{{{1}}}{{{ 2}}}{{{ 3}}}{{{ 4}}}{{{ 5}}}
{{{yi}}}
{{{4}}}{{{ 7}}}{{{ 6}}}{{{ 10}}}{{{ 13}}}


Sum of {{{x }}} is {{{15}}}
Sum of {{{y}}} is {{{40}}}
Mean of {{{x}}} is {{{mu(x)= 3}}}
Mean of {{{y}}} is  {{{mu(y)= 8}}}
Sum of squares of {{{x}}} (SSX) is  {{{10}}}
Sum of products (SP) = {{{21}}}

Regression Equation:{{{ y= bx + a}}}

{{{b = (SP)/(SSX) = 21/10 = 2.1}}}

{{{a =mu(y) - b(mu(x)) = 8 - (2.1*3) = 1.7}}}

For your data, the regression equation for {{{y}}} is:

{{{y= 2.1x + 1.7}}}


predict the value of {{{y}}} when {{{x = 4}}}:

{{{y= 2.1*4 + 1.7}}}

{{{y= 10.1}}}