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The equation of the linear least-squares regression line is given by:

[tex]\sqrt[3]{\text{Volume}} = -0.006 + 0.64(\text{Time})[/tex]

What is a linear function?

A linear function is modeled by the following rule:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, the change in y divided by the change in x.
  • b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.

For this problem, we have that:

  • The input is the time.
  • The output is the cube root of the volume.

From the table, we get that:

  • The intercept is the constant, of -0.006.
  • The slope is the coefficient of 0.64.

Water is being poured into the cone, hence the volume is increasing and the slope is positive. The equation will be given by:

[tex]\sqrt[3]{\text{Volume}} = -0.006 + 0.64(\text{Time})[/tex]

More can be learned about linear functions at https://brainly.com/question/24808124

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