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2. The U.S. Census Bureau conducts a survey every month called the American Community Survey to collect data from a sample of the American
2. The U.S. Census Bureau conducts a survey every month called the American Community Survey to collect data from a sample of the American population on things like income and education. The table below shows the results from 2019 for workers 25 years and older. Approximate years of Educational Level Median Annual education Income Less than high school graduate High school graduate or 10 $25,876 12 $31,956 equivalent Some college or associate 14 $38,125 degree Bachelor's degree 16 $56,344 Graduate or professional degree 18 $75,495 a. Using "approximate years of education" as x and "median annual income" as y, compute the linear correlation coefficient for these data. Round to 3 decimal places. (4 pts.) b. What does the value of r indicate about the relationship between x and y? Is it positive or negative or non-existent? Strong or weak? Explain. (4 pts.) c. Determine the equation of the linear regression model for these data. The values of slope and y-intercept should be exact values, so do not round. (10 pts.) d. Use your equation to predict the median annual income of persons with 15 years of education. Round your answer to a whole number. (5 pts.)
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