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Data for length of the tail (in millimeters) and age (in days) of tadpoles is entered into a statistics software package and results in a regression equation of ŷ = 15 - 1.5x.

What is the correct interpretation of the slope if the length of the tail is the response variable and the age is the explanatory variable?

Respuesta :

Using the slope concept, it is found that the correct interpretation is that each day, the length decreases by 1.5 millimetres.

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which

  • m is the slope, which is the rate of change, that is, how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of x when y = 0.

In this problem, the length of the tail, in millimetres, after x days, is given by:

[tex]y = 15 - 1.5x[/tex]

The slope is of [tex]m = -1.5[/tex], which means that each day, the length of the tail decreases by 1.5 millimetres.

A similar problem is given at https://brainly.com/question/13967935

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