Eleven states were randomly selected from among the 50 United States. This data represents the percentage of households in each state that are below the poverty level (Poverty Rate) based on household income and the percentage of adults in the state who had earned at least a high school degree (HS and Above). (a) Describe the relationship between the variables. (b) What is the slope of the least-squares regression line for this data? Interpret this value. (c) Predict the percent of adults who had attained at least a high school degree for the state with a poverty rate of 15%? Show your work. (d) Find the residual for the state with a poverty rate of 15%. Interpret the residual.

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Eleven states were randomly selected from among the 50 United States. This data represents the percentage of households in each state that are below the poverty level (Poverty Rate) based on household income and the percentage of adults in the state who had earned at least a high school degree (HS and Above).

(a) Describe the relationship between the variables.

(b) What is the slope of the least-squares regression line for this data? Interpret this value.

(c) Predict the percent of adults who had attained at least a high school degree for the state with a poverty rate of 15%? Show your work.

(d) Find the residual for the state with a poverty rate of 15%. Interpret the residual.

Poverty
Rate
HS and
91-
Above
90-
9.2
90.4
89-
10.1
89.0
88-
11.1
85.3
87-
12.1
84.7
86-
12.6
89.4
15.0
83.1
우 83-
82-
15.9
82.4
16.2
79.9
17.9
80.8
81-
20.1
80.4
80-
9.2
90.4
79-
15
Poverty Rate (%)
25
10
20
Equation
ns2
ý = 98.74 – 1.006x|11 1.887 0.81
HS and Above (%)
Transcribed Image Text:Poverty Rate HS and 91- Above 90- 9.2 90.4 89- 10.1 89.0 88- 11.1 85.3 87- 12.1 84.7 86- 12.6 89.4 15.0 83.1 우 83- 82- 15.9 82.4 16.2 79.9 17.9 80.8 81- 20.1 80.4 80- 9.2 90.4 79- 15 Poverty Rate (%) 25 10 20 Equation ns2 ý = 98.74 – 1.006x|11 1.887 0.81 HS and Above (%)
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