Mathematics: Researchers collected data from 100 randomly chosen counties in Texas on pollution levels and asthma rates. Pollution levels were measured by calculating the average number of air particulates (in mg/m3) and asthma rates were calculated as the percent of residents (0-100%) diagnosed with asthma. After confirming all relevant assumptions, they ran a linear model predicting asthma rates based on pollution level: Estimate Std. Error (Intercept) 3.61 2.05 pollution 0.78 0.29 Are pollution levels in

Researchers collected data from 100 randomly chosen

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19.05.2021

The answer is "3.14".

Step-by-step explanation:

The coefficient of pollution level is "b" and "a" intercept

$\to y=a+bx\\\\$

We must verify it.

$H_0 :\beta = 0\\\\H_a : \beta \neq 0\\\\$

$Beta \to b=1.76, SE=0.56 \ Estimate$

The statistics on tets are now provided

$\to t=\frac{b}{SE}=\frac{1.76}{0.56}=3.14$

Because statistics will be more than critical (1.984) values, we thus reject H_0

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