Life expectancy and literacy Consider the relationship between the life expectancy (in years) and the illiteracy rate

(per hundred people) in the 50 U.S. states plus Washington, DC.

A linear model is run and the output is presented here:

Coefficients:

Estimate Std. Error t value P-value Intercept 72.3949 0.3383 213.973 60.0001 Illiteracy -1.2960 0.2570 -5.043 60.0001 Residual standard deviation: 1.097 on 48 degrees of freedom Multiple R-squared: 0.3463, 73 72 71 70 69 68 Life Exp 2.52.01.51.00.5 Illiteracy

a) Colorado has an illiteracy rate of 0.70. What is its predicted life expectancy?

b) Based on the analysis, which of the following can you conclude about this relationship?

i. Reducing illiteracy will increase life expectancy.

ii. Reducing illiteracy will reduce life expectancy.

iii. If you move to a state that spends less money on teachers, your life expectancy will go down, on average, due to lurking variables.

iv. Higher levels of illiteracy are associated with generally lower life expectancies.

v. States with lower life expectancies generally have lower illiteracy rates.

vi. None of the above

c) What is the correlation between life expectancy and illiteracy?

d) Tennessee’s illiteracy rate is about 1 SD above the mean for all states. What do you predict its life expectancy to be?

i. About 1.296 SDs below the mean life expectancy.

ii. About 1 SD below the mean life expectancy.

iii. About 1 SD above the mean life expectancy.

iv. About 0.59 SD below the mean life expectancy.

v. None of the above