A Collection of Paired Data Consists of the Number of Years

question 29

Multiple Choice

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. $$\text { The regression equation is }$$
$\begin{array}{l}\text { Score }=31.55+10.90 \text { Years. }\\\begin{array}{lllcc}\text { Predictor } & \text { Coef } & \text { StDev } & \text { T } & \text { P } \\\text { Constant } & 31.55 & 6.360 & 4.96 & 0.000 \\\text { Years } & 10.90 & 1.744 & 6.25 & 0.000\end{array}\end{array}$
$$S=5.651 \quad R-S q=83.0 \% \quad R-S q(\text { Adj }) =82.7 \%$$
Predicted values
$\begin{array}{llcc}\text { Fit } & \text { StDev Fit } & 95.0 \% \text { CI } & 95.0 \% \text { PI } \\ 53.35 & 3.168 & (42.72,63.98) & (31.61,75.09) \end{array}$ If a person studies 4.5 years, what is the single value that is the best predicted test score? Assume that there is a significant linear correlation between years of study and test score.

• A)53.35
• B)80.6
• C)83.0
• D)49.1

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Definitions:

H-Se Bonds

Refers to the chemical bonds between hydrogen and selenium atoms, commonly found in hydrogen selenide.

Molecular Polarity

A measure of how evenly electric charges are distributed in a molecule, affecting its interactions with other molecules.

Polar Molecule

A molecule featuring a distribution of electrical charge leading to one end being slightly positive and the other end slightly negative.

Molecular Polarity

This concept describes the distribution of electrical charge over the atoms joined by chemical bonds in a molecule, determining the molecule’s overall polarity.