WGU C957 APPLIED ALGEBRA Midterm EXAM 2025

WGU C957 APPLIED ALGEBRA Midterm EXAM 2025 Dependent variable - -think of the independent variable as the input and the dependent variable as the output. Stated another way, the independent variable's input influences what output, or outcome, you get from the dependent variable. Independent variable - -is the variable that explains, influences, or affects the other variable. The independent variable is put on the x-axis, or horizontal axis, on a graph. Quantitative variables. - -a variable that is measured on a number scale; a variable with a numeric value. Qualitative variables - -a variable that is not numeric; also, called a categorical variable. A qualitative variable describes data that fits into categories. Functions - -a relation based on a set of inputs and a set of possible outputs where each input is related to exactly one output. Inverse function - -inverse functions are basically functions that "reverse" each other. An inverse function swaps the input and output variables. Independent variable and dependent variable relationship - -an independent variable explains changes in the dependent variable, while a dependent variable measures the changes. Rate of change - --rate of change is the change in y-values over the change in x-values. -rise over run Instantaneous rate of change - -the rate of change at a particular moment, as opposed to average rate of change, which is a change over a period of time. Take what you miss and divide it by the goal for percentages - -example: if the goal is 500 and you miss it by 50 do 50/500= 0.1. Which would be 10% Take what you surpass and divide it by the goal for percentages - -example: if the goal is 190,000 and you surpass it by 10,000 do 10,000/190,000=5.26. Which would be 5.26% Slope formula - -is a way to calculate a line's slope without graphing the line. "rise over run" WGU C957 WGU C957 Asymptote crossing - -an asymptote describes a function's behavior when its x-value is very small or very large. It does not describe a function's behavior in the middle segment. Instantaneous rate of change - -is defined as the rate of change at a particular moment. Y-intercept - -a function's y-intercept can be found by substituting the input variable with 0. The output value of a function when the input is 0 Asymptote - -when you make predictions in the long run, focus only on the horizontal asymptote when x is large. Outliers and coefficient - -outliers would cause the coefficient of determination to be smaller (or further away from 1) Possible outliers - interpolation and extrapolationwg - -while both interpolation and extrapolation values are affected by possible outliers, extrapolation values are more affected. Linear functions - -linear functions have a constant rate of change. Exponential functions - -it has a constant rate of change and if it is growing by a percentage it is exponential. Extrapolation moderate model - -you can go out 25% of the model. Conclusions - -you draw a conclusion based on a regression's correlation coefficient. Conclusion for correlation coefficient below .70 - -for correlations less than 0.70, more data or a new approach might be needed. Conclusion for correlation coefficient above .7 - -with 30 data points, a correlation between 0.7 and 0.9 would justify a strong correlation. Stretching regression functions - -never stretch the regression function for more 50% of the range without having the training of a regression professional. C value - -a smaller c-value implies earlier growth in the logistic function's middle segment. Exponent increase/decrease - -a negative exponent means increase. A positive exponent means decrease