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Given the equation of a regression line is y = -0.013x -2.53, determine whether there is a positive linear correlation or a negative linear correlation

Respuesta :

roohafzah

Answer :

  • negative linear correlation

Explanation :

to determine the type of correlation,we check the coefficient of 'x' .

  • +ve coefficient gives +ve linear correlation ( shows directly proportional relationship ) .
  • -ve coefficient gives -ve linear correlation ( shows inversely proportional relationship ) .

as the coefficient of x in the equation is -ve, thus, the equation has a negative linear correlation i.e. as the value of x increases,the value of y decreases and vice versa.

msm555

Answer:

Negative linear correlation

Step-by-step explanation:

To determine whether there is a positive or negative linear correlation based on the equation of the regression line, we look at the coefficient of x.

In the equation:

[tex]\large\boxed{\boxed{ y = mx + b}}[/tex]

where

  • m represents the slope:

Condition:

If m > 0, there is a positive linear correlation.

If m < 0, there is a negative linear correlation.

Given the equation of the regression line y = -0.013x - 2.53, the coefficient of x is -0.013, which is negative.

Therefore, there is a [tex]\boxed{\text{negative}}[/tex] linear correlation between x and y.

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