One-Variable Statistics (Unit 1)
This measure of center is calculated by adding all values and dividing by the number of values.
What is the mean?
In the equation 3x + 5 = 20, this is the first inverse operation you would typically perform to isolate the variable term, 3x.
What is subtract 5?
This value, represented by r, tells us the strength and direction of a linear relationship.
What is the correlation coefficient?
In the notation $f(x) = 10$, the $x$ represents this part of the function (input or output).
What is the input?
In the slope-intercept form y = mx + b, the letter b represents this.
What is the y-intercept?
If a distribution has a long "tail" pulled out to the right, we describe its shape as this.
What is skewed right?
When solving an inequality, you must flip the symbol if you do this to both sides.
What is multiply or divide by a negative number?
If the r-value of a data set is -0.85, the relationship is considered "strong" and has this direction.
What is a negative correlation or negative association?
This set consists of all possible input values for a function.
What is the domain?
This is the vertical change divided by the horizontal change between two points.
What is the slope?
This "Five-Number Summary" visual helps us see the quartiles and outliers of a data set.
What is a box plot (or box and whisker plot)
This term describes a value that makes an equation or inequality true.
What is a solution?
This is the difference between the actual y-value and the predicted y-value from a regression line.
What is a residual? (will also accept absolute error as we have learned about this in a similar context)
If f(x) = 2x - 3, find f(5).
What is 7?
The slope of a horizontal line is always this number.
What is zero?
Between Standard Deviation and Interquartile Range (IQR), this one is more "robust," meaning it is less affected by extreme outliers.
What is the IQR?
Write an equation for this scenario: A plumber charges a 50 dollar visit fee plus 75 dollars per hour (h) for a total cost (C).
What is C = 75h + 50?
We use this "trend line" to make predictions about data points we haven't measured yet.
What is a line of best fit or linear regression line/model?
On a graph, you can use this "test" to see if a curve represents a function.
What is the vertical line test?
Write the equation of a line with a slope of $3$ that passes through the origin.
What is y=3x.
In a perfectly symmetric distribution, these two measures of center are exactly equal.
What are the mean and median?
Solve for w: P = 2L + 2w.
What is w = (P - 2L)/2
True or False: A strong correlation between two variables (like ice cream sales and shark attacks) means one causes the other.
What is false?
A correlation does not mean causation.
This is the term for a function where the output is the same regardless of the input (e.g., f(x) = 5).
What is a constant function?
To find the x-intercept (horizontal intercept) of a linear equation, you should set this variable to zero.
What is y?