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Is the data point, P, an outlier, an influential point, both,Is the data point, P, an outlier, an influential point, both, or neither? The regression equation for a set of paired data is ^y = 6 + 4x. The correlation coefficient for the data is 0.92. A new data point(13,74) is added to the set.

outlier

neither

influential point

Both

Respuesta :

JeanaShupp

Answer: Both

Step-by-step explanation:

  • Outliers are the data points that are away from the overall pattern.
  • Influential point is an outlier that affect the slope of the regression line.

Given: The regression equation for a set of paired data is [tex]\hat{y}=6+4x[/tex].  The correlation coefficient for the data is 0.92.

A new data point(13,74) is added to the set.

Put x= 13 , we get

[tex]\hat{y}=6+4(13)=6+52=58[/tex].

Predicted value of y= 58 which is different from 74.

So, the new data point(13,74) is an influential point as it can affect the slope.

Thus, (13,74) is both outlier and influential point.

Hence, the correct option is "Both".

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