The height h and collar size c , both in centimeters, measured from a sample of boys were used to create the regression line cˆ=−94+0.9h . The line is used to predict collar size from height, both in centimeters, for boys’ shirt collars. Which of the following has no logical interpretation in context?

Respuesta :

Answer:

The C=intercept of the regression line

Step-by-step explanation:

The slope of the regression line has a logical interpretation as the average rate of change in collar size for a 1cm increase in height.

A linear regression is represented as [tex]^\wedge y = mx + c[/tex]

The option that has no logical interpretation is: E The c-intercept of the regression line

From the question, we have:

[tex]^\wedge c = 94 + 0.9h[/tex]

Using the above representation of a regression line [tex]\wedge y = mx + c[/tex]

[tex]m \to[/tex] the slope

[tex]c \to[/tex] the y-intercept

By comparing [tex]\wedge y = mx + c[/tex] to  [tex]^\wedge c = 94 + 0.9h[/tex]

[tex]0.9 \to[/tex] slope

[tex]94 \to[/tex] the y-intercept

While [tex]^ \wedge c[/tex] and [tex]h[/tex] are the variables (i.e. collar size and height)

From the list of given options (see attachment), the option that has no logical interpretation is:

E. The c-intercept of the regression line

This is because c does not represent the intercept of [tex]^\wedge c = 94 + 0.9h[/tex]

Read more about linear regression at:

https://brainly.com/question/18405415

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