Let's begin by looking at the US prison population numbers from the past 50 years and fit a linear model to this data. Year Prison Population (a) What is the equation of the LSRL? (b) When do we predict the prison population reached one and a half million? (c) Interpret the slope of the regression line in the context of the problem. (d) Is the line an appropriate model for these data? Explain. Your solution should reference the three factors that decide whether a model is an appropriate fit to data. 1970 Data on Year and Prison Population Numbers 1985 1990 357,292 1980 513,900 759,100 2000 2014 2016 2019 1,179,200 2,015,300 2,306,200 2,298,300 2,267,000

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