Question
1. In 2019, the American Community Survey released the following data for the percent population aged 16 and over in the labor force and the
1. In 2019, the American Community Survey released the following data for the percent population aged 16 and over in the labor force and the percent population living below the poverty rate in a sample of 11 Midwest states.
State | Population in Poverty (%) | Population 16 and over in the labor Force (%) |
Illinois | 11.5 | 65.1 |
Indiana | 11.9 | 64.0 |
Iowa | 11.2 | 66.9 |
Michigan | 13.0 | 61.9 |
Minnesota | 9.0 | 69.5 |
Missouri | 12.9 | 62.6 |
Nebraska | 9.9 | 69.5 |
North Dakota | 10.6 | 70.4 |
Ohio | 13.1 | 63.5 |
South Dakota | 11.9 | 67.9 |
Wisconsin | 10.4 | 65.9 |
a) Each pair of data values corresponds to one __________________.
b) Use this data to create a scatterplot on graph paper.
c) State whether the variables appear to be correlated, and if so, state whether the correlation is positive or
negative. If there is a correlation, state whether it is strong, moderate or weak. Use only the pattern of the points in the scatterplot to explain your response - no context should be used.
d) Use a well-written contextual sentence to summarize any conclusions that you can draw about the relationship between these two variables based on the scatterplot. Your sentence should be directed at a general audience - do not talk about the scatterplot or use technical terms, just describe the contextual relationship.
e) Suggest a reason, other than coincidence, for the correlation or lack of correlation in this data. If you choose common underlying cause be sure to specify one.
2. For the Midwestern states last fall we have the following data regarding COVID19 deaths per 100,000 population (as of October 2, 2020 reported by the Washington Post) and the percent of state population reported as Black or African American only (as of July 1, 2019 reported by the US Census Bureau).
State | COVID 19 Deaths Per 100,000 | Black or African only (%) |
Illinois | 70 | 14.6 |
Indiana | 55 | 9.9 |
Iowa | 44 | 4.1 |
Kansas | 23 | 6.1 |
Michigan | 71 | 14.1 |
Minnesota | 37 | 7 |
Missouri | 35 | 11.8 |
Nebraska | 26 | 5.2 |
North Dakota | 35 | 3.4 |
Ohio | 41 | 13.1 |
South Dakota | 27 | 2.3 |
Wisconsin | 24 | 6.7 |
a) Use this data to create a scatterplot on graph paper.
b) State whether the variables appear to be correlated, and if so, state whether the correlation is positive or negative. If there is a correlation, state whether it is strong, moderate or weak. Use only the pattern of the points in the scatterplot to explain your response - no context should be used.
c) Use a well-written contextual sentence to summarize any conclusions that you can draw about the relationship between these two variables based on the scatterplot. Your sentence should be directed at a general audience - do not talk about the scatterplot or use technical terms, just the contextual relationship.
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