Mistakes Describe the Mistake Made in the Following Analyses

question 31

Essay

Mistakes. Describe the mistake made in the following analyses:
a. Ten teachers compute their average test scores for all their students. Then the superintendent collects their data and finds the school average. He repeats this process for eight different schools and finds a positive correlation between the age of the school average age of the teachers at a school and their average score.
b. The mayor of a city is concerned that the population of the city is growing faster than revenue. He calculates that over the last 5 years, the year and the size of the city have a R-sq of 95.7%. With such a high value, the may or confidently predicts the population for the next three years of fiscal planning.

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Definitions:

Specific Gravity

A measure of the density of a substance compared to the density of water.

Urine

A liquid waste product filtered from the blood by the kidneys, excreted through the urethra.

High-Frequency Sound Waves

Sound waves that have a frequency higher than the upper limit of human hearing, used in applications like ultrasound imaging.

Ultrasonography

A diagnostic imaging technique that uses high-frequency sound waves to create images of organs and structures inside the body.