Exploring Linear Correlation Coefficient and Best-Fit Lines

Exploring Linear Correlation Coefficient and Best-Fit Lines

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Hard

CCSS
HSS.ID.B.5, HSF-LE.A.1B, 8.SP.A.2

Standards-aligned

Created by

Lucas Foster

FREE Resource

Standards-aligned

CCSS.HSS.ID.B.5
,
CCSS.HSF-LE.A.1B
,
CCSS.8.SP.A.2
The video tutorial discusses making predictions using graphs and the importance of the correlation coefficient, denoted as 'R', which ranges from -1 to 1. It explains how different graphs with varying R values affect prediction confidence. The tutorial covers examples of graphs with R values of 1, 0.9, 0.5, 0, -0.5, -0.95, and 0.4, highlighting the differences between linear and nonlinear data. It emphasizes understanding R for better data analysis and suggests future learning on calculating the correlation coefficient.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the range of the correlation coefficient?

-1 to 1

0 to 2

0 to 1

-1 to 0

Tags

CCSS.HSS.ID.B.5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which graph would make you feel most confident about making a prediction?

Graph with R = -0.5

Graph with R = 0.5

Graph with R = 0

Graph with R = 1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does an R value of 0.9 indicate about the data?

No correlation

Strong linear relationship

Nonlinear relationship

Weak linear relationship

Tags

CCSS.HSF-LE.A.1B

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How would you describe a graph with R = 0.5?

Nonlinear relationship

Moderate linear relationship

No correlation

Perfect linear relationship

Tags

CCSS.HSS.ID.B.5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does an R value of 0 indicate?

Moderate positive correlation

Perfect linear relationship

No correlation

Strong negative correlation

Tags

CCSS.HSS.ID.B.5

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does a negative R value signify?

Data drops as you go to the right

Data rises as you go to the right

Nonlinear relationship

No correlation

Tags

CCSS.HSF-LE.A.1B

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which graph would you feel confident about making predictions despite a negative R value?

Graph with R = -0.5

Graph with R = -0.95

Graph with R = 0.4

Graph with R = 0

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