Regents Exam: Algebra I August 2016 (Problem 6 of 37)

The video tutorial explains the concept of correlation coefficient in the context of a linear model, detailing how it measures the strength and direction of a relationship between two variables. It covers the range of the correlation coefficient, from -1 to 1, and explains the implications of positive, negative, and zero values. The tutorial also describes methods to determine the correlation coefficient, including plotting data points and using graphing calculators. The example provided results in a correlation coefficient of approximately 0.92, indicating a strong positive correlation.

What is the range of values for the correlation coefficient?

• Between -1 and 1

• Between -2 and 2

• Between -0.5 and 0.5

• Between 0 and 1

If the correlation coefficient is exactly 1, what does it indicate about the data?

• The data has a perfect negative linear fit

• The data has no correlation

• The data is random

• The data has a perfect positive linear fit

What does a correlation coefficient close to 0 suggest about the data?

• Weak or no linear correlation

• Strong negative correlation

• Strong positive correlation

• Perfect positive fit

Which method can be used to visually estimate the correlation coefficient?

• Plotting points on a coordinate plane

• Reading a textbook

• Asking a teacher

• Using a calculator

What is the approximate correlation coefficient obtained using LinReg in the example?

• -0.92

• 1.0

• 0.92

• 0.5