Scatterplots - Real World Applications

Anthropologists use a linear model that relates femur length to height. The model allows an anthropologist to determine the height of an individual when only a partial skeleton (including the femur) is found.

The equation of the line of best fit is:

y = ​ (a)   x + ​ (b)  

• 1.88074
• 82.6497

Anthropologists use a linear model that relates femur length to height. The model allows an anthropologist to determine the height of an individual when only a partial skeleton (including the femur) is found.

If an anthropologist finds a femur of length 58 cm, how tall was the person?

Mathematical Equivalence

ON

Anthropologists use a linear model that relates femur length to height. The model allows an anthropologist to determine the height of an individual when only a partial skeleton (including the femur) is found.

What is the correlation coefficient?

Mathematical Equivalence

ON

Tags

CCSS.HSS.ID.C.8

Anthropologists use a linear model that relates femur length to height. The model allows an anthropologist to determine the height of an individual when only a partial skeleton (including the femur) is found.

What type of correlation is there?

• Strong Positive

• Weak Positive

• Strong Negative

• Weak Negative

Tags

CCSS.8.SP.A.3

A convenience store manager notices that sales of soft drinks are higher on hotter days, so he assembles the data in the table shown.

Using your desmos calculator, find the equation of the line of the best fit:

y = ​ ​ (a)   x + ​ (b)  

• 16.4163
• -621.826
• -16.4163
• 621.826

A convenience store manager notices that sales of soft drinks are higher on hotter days, so he assembles the data in the table shown.

Use the equation for the line of best fit to predict the number of cans sold if the temperature is 95° F.​ (a)  

• 938
• 1038
• 847

Which of the following best shows the correlation coefficient and the equation for the line of best fit for the data in the table?

Tags

CCSS.HSS.ID.C.8

The table shows the number x of teachers and the number y of students in each of several schools.

The equation of the best fit line is:

• y= 20.6429x+42.3333

• y= 42.3333x + 20.6429

The table shows the number x of teachers and the number y of students in each of several schools.

What is the correlation coefficient?

Mathematical Equivalence

ON

Tags

CCSS.HSS.ID.C.8

The table shows the number x of teachers and the number y of students in each of several schools.

What does the correlation coefficient tell us about the data?

• The data has a strong positive correlation

• The data has a weak positive correlation.

• The data has a strong negative correlation.

• The data has a weak negative correlation.

• The data has no correlation.

Tags

CCSS.HSS.ID.C.8