A researcher analyzes the factors that may influence the poverty rate and estimates the following model: ,
where y is the poverty rate (y,in %),x₁ is the percent of the population with at least a high school education,x₂ is the median income ( in $1000s),and x₃ is the mortality rate (per 1,000 residents).The researcher would like to construct interval estimates for y when x₁,x₂,and x₃ equal 85%,$50,000,and 10,respectively.The researcher estimates a modified model where poverty rate is the response variable and the explanatory variables are now defined as ,and .A portion of the regression results is shown in the accompanying table. a.According to the modified model,what is the point estimate for the poverty rate when x₁,x₂,and x₃ equal 85%,$50,000,and 10,respectively.
B)According to the modified model,what is a 95% confidence interval for the expected poverty rate when x₁,x₂,and x₃ equal 85%,$50,000,and 10,respectively? (Note that . )
C)According to the modified model,what is a 95% prediction interval for the poverty rate when x₁,x₂,and x₃ equal 85%,$50,000,and 10,respectively? (Note that . )

Question

A researcher analyzes the factors that may influence the poverty rate and estimates the following model:

,
where y is the poverty rate (y,in %),x₁ is the percent of the population with at least a high school education,x₂ is the median income ( in $1000s),and x₃ is the mortality rate (per 1,000 residents).The researcher would like to construct interval estimates for y when x₁,x₂,and x₃ equal 85%,$50,000,and 10,respectively.The researcher estimates a modified model where poverty rate is the response variable and the explanatory variables are now defined as

,and

.A portion of the regression results is shown in the accompanying table.

a.According to the modified model,what is the point estimate for the poverty rate when x₁,x₂,and x₃ equal 85%,$50,000,and 10,respectively.
B)According to the modified model,what is a 95% confidence interval for the expected poverty rate when x₁,x₂,and x₃ equal 85%,$50,000,and 10,respectively? (Note that

. )
C)According to the modified model,what is a 95% prediction interval for the poverty rate when x₁,x₂,and x₃ equal 85%,$50,000,and 10,respectively? (Note that

. )

Quizplus · Accepted Answer

The Answer of A researcher analyzes the factors that may influence the poverty rate and estimates the following model: , where y is the poverty rate (y,in %),x₁ is the percent of the population with at least a high school education,x₂ is the median income ( in $1000s),and x₃ is the mortality rate (per 1,000 residents).The researcher would like to construct interval estimates for y when x₁,x₂,and x₃ equal 85%,$50,000,and 10,respectively.The researcher estimates a modified model where poverty rate is the response variable and the explanatory variables are now defined as ,and .A portion of the regression results is shown in the accompanying table. a.According to the modified model,what is the point estimate for the poverty rate when x₁,x₂,and x₃ equal 85%,$50,000,and 10,respectively. B)According to the modified model,what is a 95% confidence interval for the expected poverty rate when x₁,x₂,and x₃ equal 85%,$50,000,and 10,respectively? (Note that . ) C)According to the modified model,what is a 95% prediction interval for the poverty rate when x₁,x₂,and x₃ equal 85%,$50,000,and 10,respectively? (Note that . )

A Researcher Analyzes the Factors That May Influence the Poverty