An Investigation of the Relationship Between Traffic Flow X (1000's $\mu g / g$

question 77

Essay

An investigation of the relationship between traffic flow x (1000's of cars per 24 hours) and lead content y bark on trees near the highway ( $\mu g / g$ dry wt) yielded the data in the accompanying table. $$\begin{array} { l c c c c c c c c c c c } \hline x & 8.3 & 8.3 & 12.1 & 12.1 & 17.0 & 17.0 & 17.0 & 24.3 & 24.3 & 24.3 & 33.6 \\\hline y & 227 & 312 & 362 & 521 & 640 & 539 & 728 & 945 & 738 & 759 & 1263 \\\hline\end{array}$$ The summary statistics are: $n=11, \sum x_{i}=198.3, \sum y_{i}=7034$
, $\sum x _ { i } ^ { 2 } = 4198.03 , \sum y _ {i } ^ { 2 } = 5,390,382 , \sum x _ { i } y _ { i } = 149,354.4$ In addition, the least squares estimates are given by: $\hat { \beta } _ { 0 } = - 12.84159 \text {, and } \hat { \beta } _ { 1 } = 36.18385$ Carry out the model utility test using the ANOVA approach for the traffic flow/lead-content data of Example 12.6. Verify that it gives a result equivalent to that of the t test.

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Definitions:

Unidentifiable Substance

A material or compound that cannot be recognized, identified, or classified typically due to lack of information or complex composition.

Disinfectant

A chemical agent used to destroy or inhibit the growth of harmful organisms on surfaces, thereby preventing the spread of infections.

Infectious Microorganisms

Microbes capable of causing disease or infection when transmitted to other organisms.

Hand Hygiene

Practices aimed at maintaining clean hands to prevent the spread of diseases, typically through the use of handwashing or hand sanitizers.