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an online article suggested for each additional person who took up regular running for exercise the number of cigarette smoke daily woo decrease by 0.178 if we assume that 45 minute cigarettes will be smoked per day if nobody ran what is the equation of regression line for predicting number cigarette smoke per day in the number of people who regularly run for exercise

Answer :

The linear function that models the situation is given by:

[tex]y = 45 - 0.178x[/tex]

The format of a linear function is:

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

In which:

  • m is the slope, which is the rate of change.
  • b is the y-intercept, which is the initial value.

  • If nobody ran, 45 cigarettes would be smoked, thus the initial value is of [tex]b = 45[/tex].
  • For each additional person that exercises, the amount decays by 0.178, thus the slope is [tex]m = 0.178[/tex].

The equation that models this situation is:

[tex]y = 45 - 0.178x[/tex]

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