APPLIED ALGEBRA C957 WGU STUDY GUIDE
COMPREHENSIVE REVIEW WITH SOLVED
SCENARIOS AND DETAILED ANSWERS ELITE
EDITION 2026
◉coefficient of determination . Answer: A statistic that measures how
well a regression prediction approximates the real data points. An r^2 of
1 indicates that the regression prediction is a perfect fit for the data
◉common ratio . Answer: The number by which each term in a
sequence is multiplied to find the next number in the sequence; for
example 4 is the common ratio for the sequence [1, 4, 16, 64, 256...]
◉Constant ratio . Answer: Occurs when the numeric relationship
between two quantities- that is, how many times one number contains
the second- remains unchanged over time
◉Data regression . Answer: The process of examining data points to
determine a valid equation. "Regression" refers to bringing different data
points down toward a normal average- "regressing" them
, ◉equation . Answer: A mathematical sentence that contains an equals
sign.
◉explanatory variable . Answer: A variable that, as it changes, affects
another variable (called the response variable); for example, as a person
pumps more gas into a car's tank(the explanatory variable), the cost of
the purchase rises (the response variable)
◉exponent . Answer: A mathematical notation indicating the number of
times a quantity is multiplied by itself.
◉exponential function . Answer: a function of the form f(x) = ab^x,
where a and b are real numbers with a ≠ 0, b>0, and b ≠ 1
◉extrapolation . Answer: the act of estimation by projecting known
information
◉f(x)=mx+b . Answer: linear function
◉f(x) = mx . Answer: A very basic function
◉function . Answer: A relation based on a set of inputs and a set of
possible outputs where each input is related to exactly one output
COMPREHENSIVE REVIEW WITH SOLVED
SCENARIOS AND DETAILED ANSWERS ELITE
EDITION 2026
◉coefficient of determination . Answer: A statistic that measures how
well a regression prediction approximates the real data points. An r^2 of
1 indicates that the regression prediction is a perfect fit for the data
◉common ratio . Answer: The number by which each term in a
sequence is multiplied to find the next number in the sequence; for
example 4 is the common ratio for the sequence [1, 4, 16, 64, 256...]
◉Constant ratio . Answer: Occurs when the numeric relationship
between two quantities- that is, how many times one number contains
the second- remains unchanged over time
◉Data regression . Answer: The process of examining data points to
determine a valid equation. "Regression" refers to bringing different data
points down toward a normal average- "regressing" them
, ◉equation . Answer: A mathematical sentence that contains an equals
sign.
◉explanatory variable . Answer: A variable that, as it changes, affects
another variable (called the response variable); for example, as a person
pumps more gas into a car's tank(the explanatory variable), the cost of
the purchase rises (the response variable)
◉exponent . Answer: A mathematical notation indicating the number of
times a quantity is multiplied by itself.
◉exponential function . Answer: a function of the form f(x) = ab^x,
where a and b are real numbers with a ≠ 0, b>0, and b ≠ 1
◉extrapolation . Answer: the act of estimation by projecting known
information
◉f(x)=mx+b . Answer: linear function
◉f(x) = mx . Answer: A very basic function
◉function . Answer: A relation based on a set of inputs and a set of
possible outputs where each input is related to exactly one output
