If $x$ is statistically significant using $2$-sigma rule?












0












$begingroup$


I have the covariance matrix (columns $y, x_1, x_2, x_3$):



$$
left[
begin{matrix}
750 & 240 & 10 & 280 \
240 & 110 & 0 & 100 \
10 & 0 & 7 & 0 \
280 & 100 & 0 & 144
end{matrix}
right].
$$

It is also known that:
$overline{y} = 140, overline{x_1} = 40, overline{x_2} = 12, overline{x_3} = 60. $



Task:
Check if the regression coefficient of $x_1$ is statistical meaningful using 2-σ rule.










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$endgroup$

















    0












    $begingroup$


    I have the covariance matrix (columns $y, x_1, x_2, x_3$):



    $$
    left[
    begin{matrix}
    750 & 240 & 10 & 280 \
    240 & 110 & 0 & 100 \
    10 & 0 & 7 & 0 \
    280 & 100 & 0 & 144
    end{matrix}
    right].
    $$

    It is also known that:
    $overline{y} = 140, overline{x_1} = 40, overline{x_2} = 12, overline{x_3} = 60. $



    Task:
    Check if the regression coefficient of $x_1$ is statistical meaningful using 2-σ rule.










    share|cite|improve this question











    $endgroup$















      0












      0








      0





      $begingroup$


      I have the covariance matrix (columns $y, x_1, x_2, x_3$):



      $$
      left[
      begin{matrix}
      750 & 240 & 10 & 280 \
      240 & 110 & 0 & 100 \
      10 & 0 & 7 & 0 \
      280 & 100 & 0 & 144
      end{matrix}
      right].
      $$

      It is also known that:
      $overline{y} = 140, overline{x_1} = 40, overline{x_2} = 12, overline{x_3} = 60. $



      Task:
      Check if the regression coefficient of $x_1$ is statistical meaningful using 2-σ rule.










      share|cite|improve this question











      $endgroup$




      I have the covariance matrix (columns $y, x_1, x_2, x_3$):



      $$
      left[
      begin{matrix}
      750 & 240 & 10 & 280 \
      240 & 110 & 0 & 100 \
      10 & 0 & 7 & 0 \
      280 & 100 & 0 & 144
      end{matrix}
      right].
      $$

      It is also known that:
      $overline{y} = 140, overline{x_1} = 40, overline{x_2} = 12, overline{x_3} = 60. $



      Task:
      Check if the regression coefficient of $x_1$ is statistical meaningful using 2-σ rule.







      regression regression-analysis






      share|cite|improve this question















      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited Jan 13 at 11:51









      idriskameni

      749321




      749321










      asked Jan 13 at 11:46









      PhilipPhilip

      917




      917






















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