The Following Data Shows the Yearly Income in $1,000) and Age

question 45

Essay

The following data shows the yearly income in $1,000) and age of a sample of seven individuals.
$\begin{array}{ll}\text { Income in } \$ 1,000 \text { ) }&\text { Age }\\20 & 18 \\24 & 20 \\24 & 23 \\25 & 34 \\26 & 24 \\27 & 27 \\34 & 77\end{array}$
a. Develop the least squares regression equation.
b. Estimate the yearly income of a 30-year-old individual.
c. Compute the coefficient of determination.
d. Use a t test to determine whether the slope is significantly different from zero. Let α = 0.05.
e. At 95% confidence, perform an F test and determine whether or not the model is significant.

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Definitions:

π Molecular Orbitals

Orbitals formed by the overlap of p orbitals on adjacent atoms, significant in determining the bonding and properties of molecules.

Electron Density

Refers to the probability distribution of electrons in a chemical species; higher density regions indicate a greater likelihood of electron presence.

Internuclear Axis

The imaginary line that runs through the nuclei of two atoms bonded together, defining the direction of the bond.

Sigma Bond

A single covalent bond formed from the direct overlap of atomic orbitals, sharing a pair of electrons between atoms.