#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
What does it mean if a graph is described as 'concave up'?
The graph curves upward.
ExplanationConcave up: graph curves upward.
#10
Which of the following best describes a quadratic function?
A function with a degree of 2.
ExplanationQuadratic function: degree of 2.
#11
What does the slope-intercept form of a linear equation represent?
The slope of the line and the y-intercept.
ExplanationSlope-intercept form: slope and y-intercept.
#12
What is the main difference between a histogram and a bar graph?
A histogram displays continuous data, while a bar graph displays discrete data.
ExplanationHistogram: continuous data, Bar graph: discrete data.
#13
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.
#14
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.
#15
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.
#16
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.
#17
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.
#18
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.
#19
What is the relationship between the correlation coefficient (r) and the strength of the correlation?
The closer r is to 1 or -1, the stronger the correlation.
ExplanationCorrelation strength: closer r to 1 or -1, stronger.
#20
What does the term 'correlation' signify in statistics?
A measure of the strength and direction of the linear relationship between two variables.
ExplanationCorrelation: strength and direction of linear relationship.
#21
In a graph, what does the term 'domain' represent?
The set of all possible x-values.
ExplanationDomain: set of all possible x-values.
#22
What is the significance of the coefficient of determination (R-squared) in regression analysis?
It measures the proportion of the variance in the dependent variable that is predictable from the independent variable.
ExplanationR-squared: proportion of predictable variance.
#23
What does the term 'inverse function' mean in mathematics?
A function that undoes the action of another function.
ExplanationInverse function: undoes action of another function.
#24
In a graph, what does the term 'range' represent?
The set of all possible y-values.
ExplanationRange: set of all possible y-values.
#25
What is the significance of the correlation coefficient (r) in statistics?
It represents the strength and direction of the linear relationship between two variables.
ExplanationCorrelation coefficient: strength and direction of linear relationship.