Regents Exam: Algebra I August 2016 (Problem 33 of 37)

The video tutorial explains how to generate a linear regression equation using a graphing calculator and data on the median diameter of sand grains and beach slope. It guides viewers through creating a table, using the linear regression program, and predicting the slope of a beach with a given sand grain diameter. The final prediction is rounded to the nearest tenth of a degree.

What is the main objective of the problem discussed in the video?

• To calculate the average diameter of sand grains

• To predict the slope of a beach using a linear regression equation

• To measure the temperature of ocean water

• To determine the color of sand grains

Which tool is necessary to generate the linear regression equation?

• A scientific calculator

• A graphing calculator

• A ruler

• A protractor

What is the first step in generating a linear regression equation?

• Creating a table or list with data

• Calculating the average grain size

• Drawing a graph

• Measuring the slope of the beach

What is the linear regression equation obtained in the video?

• Y = 17.159 X - 2.476

• Y = 5.678 X + 1.234

• Y = 20.000 X - 5.000

• Y = 10.123 X + 3.456

What is the predicted slope of the beach when the median grain diameter is 0.65 millimeters?

• 8.7 degrees

• 7.5 degrees

• 10.0 degrees

• 9.2 degrees