#1
Which of the following best describes a linear relationship between two variables?
The graph is a straight line passing through the origin.
The graph is a curve that never intersects the axes.
The graph is a series of discrete points.
The graph is a parabola with vertex at the origin.
#2
What does the slope of a line represent in a graph?
The y-intercept of the line.
The rate of change in the y-variable for a unit change in the x-variable.
The x-intercept of the line.
The value of the y-variable when x is zero.
#3
In a function, what does it mean if the graph fails the vertical line test?
The function is one-to-one.
The function is not one-to-one.
The function is linear.
The function is a constant function.
#4
What is the difference between an exponential function and a linear function?
An exponential function always has a constant rate of change.
A linear function always increases at a constant rate.
An exponential function grows or decays at a constant percentage rate.
A linear function always decreases at a constant rate.
#5
What does the vertex of a parabolic function represent?
The highest point on the graph.
The x-intercept of the graph.
The point where the graph crosses the y-axis.
The point where the graph changes direction.
#6
In a scatter plot, what does a negative correlation coefficient indicate?
A strong positive relationship between variables.
A weak negative relationship between variables.
A strong negative relationship between variables.
No relationship between variables.
#7
What does the term 'asymptote' refer to in relation to a graph?
A point where the graph intersects the x-axis.
A line that the graph approaches but never intersects.
The highest point on the graph.
A point where the graph changes direction.
#8
What is the primary purpose of using a trendline in data visualization?
To connect all data points in a scatter plot.
To highlight outliers in a dataset.
To show the overall trend or pattern in the data.
To interpolate missing data points.
#9
Which of the following statements about correlation is true?
Correlation indicates causation.
Correlation of -1 indicates no relationship between variables.
Correlation ranges from -1 to 1, where 1 indicates a perfect positive correlation.
Correlation measures the strength of the independent variable.
#10
What is the purpose of extrapolation in data analysis?
To interpolate data within the range of known values.
To estimate values beyond the range of known data points.
To identify patterns in a scatter plot.
To determine the correlation coefficient.
#11
What does a coefficient of determination (R-squared) of 1 indicate?
There is no relationship between variables.
The independent variable explains all of the variability in the dependent variable.
The independent variable explains none of the variability in the dependent variable.
The relationship between variables is weak.
#12
Which of the following statements about exponential growth is true?
The rate of growth remains constant over time.
Exponential growth occurs when a quantity decreases over time.
Exponential growth occurs when a quantity increases by a constant percentage over time.
Exponential growth is always linear.
#13
In a function, what does it mean if the graph has a period?
The function is continuous.
The function is decreasing.
The function repeats its values over a specific interval.
The function has a maximum or minimum point.
#14
What does it mean if the correlation coefficient (r) is close to zero?
There is a strong positive correlation between variables.
There is a strong negative correlation between variables.
There is no linear relationship between variables.
There is a perfect positive correlation between variables.