#1
Which of the following best describes a linear relationship between two variables?
The graph is a straight line passing through the origin.
ExplanationStraight line passing through origin.
#2
What does the slope of a line represent in a graph?
The rate of change in the y-variable for a unit change in the x-variable.
ExplanationRate of change in y for unit change in x.
#3
In a function, what does it mean if the graph fails the vertical line test?
The function is not one-to-one.
ExplanationFunction not one-to-one.
#4
What is the difference between an exponential function and a linear function?
An exponential function grows or decays at a constant percentage rate.
ExplanationExponential: constant percentage growth or decay.
#5
What does the vertex of a parabolic function represent?
The point where the graph changes direction.
ExplanationVertex: where graph changes direction.
#6
In a scatter plot, what does a negative correlation coefficient indicate?
A strong negative relationship between variables.
ExplanationNegative correlation: strong negative relationship.
#7
What does the term 'asymptote' refer to in relation to a graph?
A line that the graph approaches but never intersects.
ExplanationAsymptote: line approached but never intersects.
#8
What is the primary purpose of using a trendline in data visualization?
To show the overall trend or pattern in the data.
ExplanationTrendline: display overall trend/pattern.
#9
Which of the following statements about correlation is true?
Correlation ranges from -1 to 1, where 1 indicates a perfect positive correlation.
ExplanationCorrelation range: -1 to 1, 1 = perfect positive correlation.
#10
What is the purpose of extrapolation in data analysis?
To estimate values beyond the range of known data points.
ExplanationEstimate values beyond known data range.
#11
What does a coefficient of determination (R-squared) of 1 indicate?
The independent variable explains all of the variability in the dependent variable.
ExplanationR-squared = 1: independent variable explains all variability.
#12
Which of the following statements about exponential growth is true?
Exponential growth occurs when a quantity increases by a constant percentage over time.
ExplanationExponential growth: constant percentage increase.
#13
In a function, what does it mean if the graph has a period?
The function repeats its values over a specific interval.
ExplanationPeriod: function repeats values over interval.
#14
What does it mean if the correlation coefficient (r) is close to zero?
There is no linear relationship between variables.
ExplanationCorrelation coefficient close to zero: no linear relationship.