Jacob distributed a survey to his fellow students asking them how many hours they'd spent playing sports in the past day. He also asked them to rate their mood on a scale from 000 to 101010, with 101010 being the happiest. A line was fit to the data to model the relationship.

Respuesta :

Using the linear function given, it is found that the best estimate of the average change in mood rating associated with a 1 hour increase in hours playing sports is of 1.5 points.

A linear function is modeled by:

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

In which:

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

In this problem:

  • x is the number of hours they spent playing sports.
  • y is their mood rating.

The equation is:

[tex]y = 1.5x + 5[/tex]

The slope is of [tex]m = 1.5[/tex], hence, the best estimate of the average change in mood rating associated with a 1 hour increase in hours playing sports is of 1.5 points.

To learn more about linear functions, you can take a look at https://brainly.com/question/16302622

Answer:

Its y = 1.5x + 5 and 8.75

Step-by-step explanation:

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