Lines of Regression

What is the equation of the regression line?

• 0.986

• 2527

• total length (cm) = 1.1forklength (cm) + 4.1

• 4.1

What is the correlation coefficient of the regression line?

• 0.986

• 2527

• total length (cm) = 1.1forklength (cm) + 4.1

• 4.1

What is the gradient of the regression line?

• 1.1

• 2527

• total length (cm) = 1.1forklength (cm) + 4.1

• 4.1

The correlation coefficient of the regression line is 0.986. What does that mean?

• There is a very strong, positive correlation between the variables.

• There is a very strong, negative correlation between the variables.

• There is a weak, negative correlation between the variables.

• As fork length increases, so does total length.

• y = 1.45x + 22
• y = -2x + 15
• y = 1.33x + 30
• y = -1.5x + 24

What is the equation of the line of best fit?

• y= 6x + 2

• y = -2x +6

What does this graph show?

• There is no correlation between fork length and total length.

• There is a strong, positive correlation between fork length and total length.

• There is a strong, negative correlation between fork length and total length.

• There is a week correlation between fork length and total length.

Using the regression equation: length (cm) = 1.1 forklength (cm) + 4.1

Predict the length of a shark with a fork length of 4cm.

• 4.1cm

• 4.4cm

• 8.5cm

• 5.2cm

Using the regression equation: length (cm) = 1.1 forklength (cm) + 4.1

Predict the length of a shark with a fork length of 40cm.

• 41cm

• 48.1cm

• 56.1cm

• 44.1cm

What does a gradient of 1.1 mean?

• Sharks grow in 1.1cm bursts

• For each cm the shark get's longer, it's forklength increases by 1.1cm.

• For each 1cm increase in forklength, a shark gets 1.1cm longer.

• A shark if longer that it's fork length.