The Accompanying Data Was Read from a Graph That Appeared $\mathrm { SO } _ { 2 } \text { deposition rate } \left( \mathrm { mg } / \mathrm { m } ^ { 2 } / \right. \text { day) }$

question 27

Essay

The accompanying data was read from a graph that appeared in a recent study. The independent variable is $\mathrm { SO } _ { 2 } \text { deposition rate } \left( \mathrm { mg } / \mathrm { m } ^ { 2 } / \right. \text { day) }$ and the dependent variable is steel weight loss (g/m $2$ ). $$\begin{array} { c c c c c c c } \hline x & 14 & 18 & 40 & 43 & 45 & 112 \\\hline y & 280 & 350 & 470 & 500 & 560 & 1200 \\\hline\end{array}$$
a. Construct a scatter plot. Does the simple linear regression model appear to be reasonable in this situation?
b. Calculate the equation of the estimated regression line.
c. What percentage of observed variation in steel weight loss can be attributed to the model relationship in combination with variation in deposition rate?
d. Because the largest x value in the sample greatly exceeds the others, this observation may have been very influential in determining the equation of the estimated line. Delete this observation and recalculate the equation. Does the new equation appear to differ substantially from the original one (you might consider predicted values)?

---

Definitions:

Labour Force

The total number of people currently employed or in search of employment within a particular country or economic region.

Political System

The set of formal legal institutions that constitute a government or a state. This system outlines how these institutions interact within a society.

Work-Life Balance

The equilibrium between professional responsibilities and personal life, aiming to ensure both are maintained without detriment to each other.

Millennials

The generation of people born approximately between 1981 and 1996, known for being technologically savvy and valuing work-life balance.