1.
The best chart to show the correlation of dependent and independent variables is the
Correct Answer
D. XY plot
Explanation
An XY plot is the best chart to show the correlation of dependent and independent variables because it displays the relationship between two continuous variables. The X-axis represents the independent variable, while the Y-axis represents the dependent variable. By plotting data points on the XY plot, patterns and trends in the relationship between the variables can be easily identified, such as positive or negative correlation, clusters, or outliers. This type of chart allows for a more comprehensive analysis of the relationship between variables compared to other chart types like pie charts, bar graphs, polygon graphs, or histograms, which are better suited for displaying categorical or discrete data.
2.
A graph that follows the equation y = mx + b is
Correct Answer
C. A line
Explanation
The equation y = mx + b represents a linear equation in slope-intercept form, where m is the slope and b is the y-intercept. This equation describes a straight line on a graph, where the value of y depends on the value of x. Therefore, the correct answer is a line.
3.
In making plots that show correlation between a dependent variable and an independent variable, how many axes should you create?
Correct Answer
C. 2
Explanation
When making plots that show correlation between a dependent variable and an independent variable, it is necessary to create two axes. One axis represents the independent variable, while the other axis represents the dependent variable. This allows for the visualization and understanding of the relationship between the two variables.
4.
In making a graph that shows the change of position of the person versus time, which graph would show a straight line
Correct Answer
E. The person not moving at all
Explanation
If the person is not moving at all, their position will remain constant over time. Therefore, the graph that would show a straight line would be the one representing the person not moving at all.
5.
Contains a list of the variables appearing in the chart and an example
of their appearance.
Correct Answer
C. Legend
Explanation
The given answer "legend" is correct because a legend is a key or guide that provides information about the variables or elements represented in a chart or graph. It helps the reader understand the meaning or representation of different colors, symbols, or lines used in the chart. In this context, the legend would contain a list of the variables appearing in the chart and an example of their appearance, making it easier for the reader to interpret the chart accurately.
6.
In making a graph that shows the change of displacement of the person versus
time, which graph would show a linear graph with a negative slope.
Correct Answer
C. A person returning to his point of origin at constant speed
Explanation
A person returning to his point of origin at a constant speed would show a linear graph with a negative slope. This is because the displacement of the person would decrease over time as they move back towards their starting point. The negative slope indicates that the displacement is decreasing at a constant rate.
7.
The best graph to show the percent of voters most likely to vote for different candidates for presidency is a
Correct Answer
E. Pie chart
Explanation
A pie chart is the best graph to show the percent of voters most likely to vote for different candidates for presidency because it allows for easy visualization of the proportions or percentages of each candidate's support. The circular shape of the pie chart represents the whole, which is divided into slices that represent the different candidates. The size of each slice corresponds to the percentage of voters likely to vote for that candidate, making it easy to compare the relative popularity of each candidate.
8.
In making a graph that shows the change of position of a person versus
time, which graph would not exhibit a linear behavior?
Correct Answer
B. The person with constant acceleration
Explanation
A graph that shows the change of position of a person versus time would not exhibit a linear behavior if the person has constant acceleration. This is because constant acceleration means that the velocity of the person is changing at a constant rate, which would result in a curved graph rather than a straight line. In contrast, the other options (the person not moving at all, the person with constant speed going back to his original position, the person with constant speed moving forward, and the person with constant velocity) would all exhibit linear behavior on the graph.
9.
In making a graph that shows the change of velocity of a person versus
time, which would be the independent variable?
Correct Answer
D. Time
Explanation
In making a graph that shows the change of velocity of a person versus time, the independent variable would be time. This is because time is the variable that is being measured and controlled in the experiment, while the velocity of the person is the dependent variable that is being influenced by the independent variable.
10.
In making a graph that shows the change of velocity of a person versus
time, which would show a negative linear slope?
Correct Answer
D. A person with constant deceleration
Explanation
A person with constant deceleration would show a negative linear slope on a graph that shows the change of velocity versus time. This is because deceleration refers to a decrease in velocity over time, which would result in a negative slope on the graph.