A researcher is investigating whether non-white minorities


Question: A researcher is investigating whether non-white minorities commit a disproportionate number of homicides. He uses demographic data from Detroit, MI to compare homicide rates and the number of the population that are white males.

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a. Use your calculator to construct a scatter plot of the data. What should the independent variable be? Why?

b. Use your calculator's regression function to find the equation of the least-squares regression line. Add this to your scatter plot.

c. Discuss what the following mean in context.

i. The slope of the regression equation

ii. The y-intercept of the regression equation

iii. The correlation r

iv. The coefficient of determination r2.

d. Do the data provide convincing evidence that there is a linear relationship between the number of white males in the population and the homicide rate? Carry out an appropriate test at a significance level of 0.05 to help answer this question

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