Topic 13-14 Review

Front

What is a strong positive correlation?

Back

A strong positive correlation indicates that as one variable increases, the other variable also increases significantly.

Front

What is the equation for a linear function representing population growth?

Back

y - 450 = 4(x - 15) represents the population in thousands, where y is the population and x is the number of years after 2010.

Front

What type of equation is used to represent a relationship between two variables in a linear context?

Back

A linear equation can be represented in various forms, including slope-intercept form, standard form, and point-slope form.

Front

What is the point-slope form of a linear equation?

Back

The point-slope form is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

What does a strong negative correlation indicate?

Back

A strong negative correlation indicates that as one variable increases, the other variable decreases significantly.

Front

How do you write an equation for a situation involving multiple items with different prices?

Back

You can write an equation by summing the products of the quantities and their respective prices, e.g., 15x + 20y = 150.

Front

What is the slope in a linear equation?

Back

The slope is a measure of the steepness of a line, representing the rate of change of the dependent variable with respect to the independent variable.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is zero, indicating where the line crosses the y-axis.

Front

What does it mean if there is no correlation in a scatterplot?

Back

No correlation means that there is no discernible relationship between the two variables; changes in one do not predict changes in the other.

Front

How can you determine the type of correlation from a scatterplot?

Back

By observing the direction and strength of the points' clustering: upward slope indicates positive correlation, downward slope indicates negative correlation.