Unit 3 Flashcard Statistics

Front

What is the formula to calculate coffee sales based on temperature?

Back

y = -60x + 6443, where x is the temperature and y is the coffee sales.

Front

What does a strong positive correlation indicate in a graph?

Back

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

Front

What is the linear regression equation for pizza sales if the equation is y = 1.5x + 12?

Back

This equation indicates that for every unit increase in x (independent variable), y (pizza sales) increases by 1.5.

Front

How do you write a linear regression equation from data points?

Back

You can use statistical methods like least squares to find the best-fitting line, expressed as y = mx + b.

Front

What is the equation of the line of best fit for the given data if it is y = 4.19x - 163.41?

Back

This equation shows that for every unit increase in x, y increases by 4.19, starting from -163.41.

Front

What does the slope in a linear equation represent?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Front

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

Back

The y-intercept is the value of y when x is 0, indicating where the line crosses the y-axis.

Front

How do you interpret a negative slope in a linear regression?

Back

A negative slope indicates that as the independent variable increases, the dependent variable decreases.

Front

What is the significance of rounding in linear regression equations?

Back

Rounding helps simplify the equation for easier interpretation and application, but it may slightly affect accuracy.

Front

What is the difference between correlation and causation?

Back

Correlation indicates a relationship between two variables, while causation implies that one variable directly affects the other.