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The equation for the best fit line is y=5.2x+18. It says if the observed value when x=10 was y=62, then which of the following represents the value of the residual for this point. The options are 52, 8,-8,&-10. i need help please!!

Respuesta :

Answer:

The residual for 5 is -1.6

Step-by-step explanation: Hope this helps. Name me brainliest please.

A residual value is the difference between the observed y-value and the predicted y-value( from the regression equation ) .

Here, the given regression equation of the line,

y = 5.2 x - 0.4

Thus, for x = 5, the predicted value of y = 5.2 × 5 - 0.4 = 26.0 - 0.4 = 25.6,

Now, by the given table,

For x = 5, the observed value of y = 24,

Hence, the residual for 5 = Observed value of y for 5 - Predicted value of y for 5

= 24 - 25.6 = - 1.6

⇒ First option is correct.

The residual value is -8

What is a residual value?

A residual value is the difference between the observed y-value and the predicted y-value( from the regression equation ) .

Here, the given regression equation of the line,

y = 5.2 x +18

Thus, for x = 10, the predicted value of

y = (5.2 × 10) +18

y = 52 + 18

y = 70

Now, by the given question,

For x = 10, the observed value of y = 62,

Hence, the residual for 10 = Observed value of y for 10 - Predicted value of y for 10

= 62 - 70

= -8

For more information:https://brainly.com/question/12606018

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