Use the Computer Display to Answer the Question $\text { Score }=31.55+10.90 \text { Years. }$

question 126

Multiple Choice

Use the computer display to answer the question.
-A collection of paired data consists of the number of years that students have studied Spanish and their scores on a Spanish language proficiency test. A computer program was used to obtain the least squares linear
Regression line and the computer output is shown below. Along with the paired sample data, the program was
Also given an x value of 2 (years of study) to be used for predicting test score.
The regression equation is $\text { Score }=31.55+10.90 \text { Years. }$

$\begin{array}{lcccc}\text { Predictor } & \text { Coef } & \text { StDev } & \mathrm{T} & \mathrm{P} \\\text { Constant } & 31.55 & 6.360 & 4.96 & 0.000 \\\text { Years } & 10.90 & 1.744 & 6.25 & 0.000\end{array}$

$\mathrm{S}=5.651 \quad \mathrm{R}-\mathrm{Sq}=83.0 \% \quad \mathrm{R}-\mathrm{Sq}(\mathrm{Adj}) =82.7 \%$

$\text { Predicted values }$

$\begin{array}{lccc}\text { Fit } & \text { StDev Fit } & 95.0 \% \text { CI } & 95.0 \% \text { PI } \\53.35 & 3.168 & (42.72,63.98) & (31.61,75.09) \\\hline\end{array}$
What percentage of the total variation in test scores can be explained by the linear relationship between years of
Study and test scores?

• A) 82.7%
• B) 91.1%
• C) 17.0%
• D) 83.0%

---

Definitions:

Edward Bellamy

An American author and socialist, most famous for his utopian novel, "Looking Backward: 2000-1887."

Standard Oil

An American oil producing, refining, and transporting company established by John D. Rockefeller that became a symbol of the monopolistic practices and economic power of the Gilded Age.

John D. Rockefeller

An American industrialist and philanthropist who played a pivotal role in the establishment and growth of the oil industry.

Settlement House Movement

A social reform movement that began in the late 19th and early 20th centuries, aimed at improving the lives of the poor by establishing community centers in urban areas.