Review 19

Which of the following best describes a **variable** in a statistical study?

• A fixed numerical value that never changes

• A characteristic or quantity that can take on different values across individuals or observations

• The final answer to a math problem

• A type of graph used to display data

Tags

VA.A.ST.2b

What is a **scatterplot**?

• A bar graph that shows frequency of categorical data

• A pie chart that shows proportions of a whole

• A graph that displays the relationship between two quantitative variables by plotting ordered pairs

• A line graph that shows change over time only

Tags

VA.A.ST.2h

Which of the following is an example of a **simple random sample**?

• Surveying only students who volunteer to participate

• Assigning each student a number and using a random number generator to select participants

• Surveying every student in the front row of each classroom

• Asking only students who are present on a specific day

Tags

VA.A.ST.2c

In a linear model $y = mx + b$, what does the slope $m$ represent?

• The value of $y$ when $x = 0$

• The rate of change of $y$ with respect to $x$

• The maximum value of the function

• The correlation coefficient

Tags

VA.A.ST.2f

Which of the following best describes the **dependent variable** in a study examining how hours of study affect test scores?

• The number of students in the study

• The hours of study

• The test scores

• The teacher's grading scale

Tags

VA.A.ST.2b

A scatterplot shows data points that follow a curved, U-shaped pattern. Which type of function would **best** model this data?

• Linear function

• Quadratic function

• Exponential function

• Absolute value function

Tags

VA.A.ST.2d

What does a **correlation coefficient** close to $-1$ indicate about the relationship between two variables?

• There is no relationship between the variables

• There is a strong positive linear relationship

• There is a strong negative linear relationship

• There is a quadratic relationship

Tags

VA.A.ST.2h

Which of the following sampling methods would produce the **least representative** sample when studying the reading habits of all students in a high school?

• Simple random sample of all students

• Surveying only students in the school library during lunch

• Stratified random sample by grade level

• Systematic random sample from the school roster

Tags

VA.A.ST.2c

A linear model for a dataset is given by $y = 3.2x + 14.5$. What is the predicted value of $y$ when $x = 10$?

• $y = 32$

• $y = 46.5$

• $y = 46.7$

• $y = 45.5$

Tags

VA.A.ST.2f

Which of the following ordered pairs would be plotted on a scatterplot to analyze the relationship between **hours worked** ($x$) and **money earned** ($y$)?

• (money earned, hours worked)

• (hours worked, money earned)

• (money earned, money earned)

• (hours worked, hours worked)

Tags

VA.A.ST.2h