A researcher analyzes the factors that may influence the poverty rate and estimates the
following model: where y is the poverty rate (y, in %),
is the
percent of the population with at least a high school education, is the median income (in
$1,000), and is the mortality rate (per 1,000 residents). The researcher would like to construct
interval estimates for y when 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 resuts is shown in the accompanying table.
A) According to the modified model, what is the point estimate for the poverty rate when
and equal 85%, $50,000, and 10, respectivly.
B) According to the modified model, what is a 95% confidence interval for the expected poverty
rate when equal 85%, $50,000, and 10, respectively?
C) According to the modified model,what is a 95% prediction interval for the poverty rate when equal 85%, 50,000, and 10, respectively?
Correct Answer:
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