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Question 8 A researcher ran a regression examining the effect of the unemployment rate on the non-violent crime rate. The slope was 27.15 and the intercept was -124.28. City 4s unemployment rate is: 26.6 and its non-violent crime rate is: 5314 What is the predicted non-violent crime rate in City ?

Answer :

To predict the non-violent crime rate in City X based on the regression model, we can use the equation:

Non-violent crime rate = Intercept + (Slope * Unemployment rate)

Given that the slope of the regression line is 27.15 and the intercept is -124.28, and City X has an unemployment rate of 26.6, we can substitute these values into the equation to calculate the predicted non-violent crime rate:

Non-violent crime rate = -124.28 + (27.15 * 26.6)

Non-violent crime rate = -124.28 + 721.59

Non-violent crime rate = 597.31

Therefore, the predicted non-violent crime rate in City X is 597.31.

It's important to note that this prediction is based on the regression model and assumes that the relationship between unemployment rate and non-violent crime rate is linear and holds true for City X. Additionally, other factors not included in the model may also influence the non-violent crime rate, so the prediction should be interpreted with caution.

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