Interpreting Slope and Y-Intercept in Regression Analysis

In a regression line, what does the letter 'a' represent?

• Slope

• Rate of change

• Y-intercept

• X-intercept

What is the predicted y value in a regression equation denoted by?

• y

• y-hat

• x

• b

In the football team example, what does a negative slope indicate?

• As the number of slices increases, the number of laps increases

• As the number of slices decreases, the number of laps decreases

• As the number of slices increases, the number of laps decreases

• As the number of slices decreases, the number of laps increases

What is the y-intercept in the football team example?

• 0.67

• 10

• 0

• 1

How is the slope interpreted in the context of the football team example?

• For each additional pizza slice eaten, the number of laps decreases by 1

• For each additional pizza slice eaten, the number of laps increases by 1

• For each additional pizza slice eaten, the number of laps decreases by 0.67

• For each additional pizza slice eaten, the number of laps increases by 0.67

In the sugar and flower freshness example, what does a positive slope indicate?

• As the amount of sugar increases, the freshness decreases

• As the amount of sugar increases, the freshness increases

• As the amount of sugar decreases, the freshness increases

• As the amount of sugar decreases, the freshness decreases

What is the y-intercept in the sugar and flower freshness example?

• 15.8

• 0.67

• 180.8

• 10

How is the slope interpreted in the context of the sugar and flower freshness example?

• For each additional tablespoon of sugar, the freshness increases by 15.8 hours

• For each additional tablespoon of sugar, the freshness decreases by 10 hours

• For each additional tablespoon of sugar, the freshness decreases by 15.8 hours

• For each additional tablespoon of sugar, the freshness increases by 10 hours

What does the y-intercept represent in a regression line?

• The slope of the line

• The rate of change

• The value of x when y is zero

• The value of y when x is zero

In the context of regression lines, what does the slope represent?

• The change in x for each unit change in y

• The starting value of x

• The starting value of y

• The change in y for each unit change in x