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 + 22.7 where y represents maximum noise level and x represents the number of people, in thousands, in the stadium.
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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. Is this estimate reasonable? Explain your reasoning.
3. What is the -intercept of the linear model given? What does it mean in the context of the problem? Is this reasonable? Explain your reasoning.