Regression lines

What does bi- in bivariate mean?

• large

• two

• one

• linear

Tags

CCSS.HSS.ID.B.6

What is missing from this graph?

• suitable title

• units of x and y axis

• regression line

• all of these

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.

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.7

CCSS.HSS.ID.C.8

CCSS.HSS.ID.C.9

What is the equation of the regression line?

• 0.986

• 2527

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

• 4.1

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

CCSS.HSS.ID.C.7

CCSS.HSS.ID.C.8

What is the correlation coefficient of the regression line?

• 0.986

• 2527

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

• 4.1

Tags

CCSS.HSS.ID.C.8

CCSS.HSS.ID.C.9

What is the gradient of the regression line?

• 1.1

• 2527

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

• 4.1

Tags

CCSS.HSF.IF.B.4

CCSS.HSS.ID.C.7

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.

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

CCSS.HSS.ID.C.9

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSS.ID.C.7

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

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.2

CCSS.HSS.ID.C.7

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

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.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

CCSS.HSS.ID.C.7