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.
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.