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Algebra 1

3.1.5 Using an Equation for a Fit Line

Algebra 13.1.5 Using an Equation for a Fit Line

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The scatter plot shows the maximum noise level when different numbers of people are in a stadium. The linear model is given by the equation y=1.5x+22.7y=1.5x+22.7, where yy represents maximum noise level and xx represents the number of people, in thousands, in the stadium.

y=1.5x+22.7y=1.5x+22.7

Scatter plot showing maximum noise level in decibels on the y-axis and number of people in thousands on the x-axis, with black dots and a blue trend line indicating a positive correlation.
1.

The slope of the linear model is 1.5. What does this mean in terms of the maximum noise level and the number of people?

2.

A sports announcer states that there are 65,000 fans in the stadium. Estimate the maximum noise level. Be prepared to show your reasoning.

3.

Is this estimate reasonable?

4.

What is the yy-intercept of the linear model given?  Be prepared to show your reasoning.

5.

What does the value of the yy-intercept mean in the context of the problem?

6.

Is this value for the yy-intercept reasonable?

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