Correlation and Graph Interpretation

A survey was conducted to determine the state of the physical and psychological health of high school students.

Some of the survey questions related to student stress levels and student absences due to illness. The data on these variables are displayed in the image.

Which of the following conclusions are appropriate to draw based on the figure above? (Choose all that apply.)

• stress leads to illness

• as stress levels increase, the number of absences tends to increase.

• many student absences are due to stress.

• there is an indirect relationship between stress and illness.

• there is a positive correlation between stress level and number of absences.

Tags

CCSS.HSS.ID.C.9

Estimate the correlation coefficient for this scatterplot.

• A) r = 1.2

• B) r = 0.89

• C)r = 0

• D) r = -0.89

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

Describe the relationship between the variables.

• A) Weak negative correlation

• B) Moderate negative correlation

• C) Moderate positive correlation

• D) Strong negative correlation

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

What type of correlation does this graph show?

• A) Positive

• B) negative

• C) none

• D) all of the above

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

As x increases, y decreases.

• A) no correlation

• B) negative correlation

• C) correlation coefficient

• D) positive correlation

Tags

CCSS.HSF-LE.A.1B

The scatter plot below shows the number of books read by students in Ms. Mcguire's English class and their final grades. Which statement represents the best description about the line of best fit?

• A) The more books students read, the lower their English grade.

• B) The more books students read, the higher their English grade.

• C) The fewer books students read, the higher their English grade.

• D) No relationship exists between the number of books students read and their English grades.

Tags

CCSS.8.EE.B.5

What is the correct interpretation of the scatterplot about the age of a person and the number of pets owned?

• The older a person is, the more pets they own.

• The younger a person is, the more pets they own

• There is no correlation between a person's age and how many pets they own

• The older a person is, they own fewer pets

Tags

CCSS.8.SP.A.1

What is the interpretation between a person's age and how fast they walk?

• The older a person is, the slower they walk

• The older a person is, the faster they walk

• There is no correlation between the age of a person and how fast they walk

• People just stop walking at the age of 65

Tags

CCSS.6.SP.B.5C

CCSS.HSS.ID.A.3

Describe where the outlier is located in the scatterplot?

• (13, 24.5)

• (12.5, 25)

• (12.2, 18)

• Between 11 and 12

Which graph best shows a positive correlation between the number of hours studied and the test scores?

• Graph A
• Graph B
• Graph C
• Graph D

Tags

CCSS.8.EE.B.5