Question

At a plant that manufactures bars of steel, a machine is used to cut the bars to specific lengths. The machine has a dial that sets the length of the bars to be cut. However, the dial is currently out of alignment and the plant manager is collecting data to assess the situation. The following table shows 8 trials at different dial settings along with the actual output length of the bars that were cut. All measurements are in millimeters

Answer 1

The regression line that can be formed from the information about the plant that manufactures bars of steel will be 2.2043 + 1.0068x.

What is a regression line?

It should be noted that a regression line simply means the line that displays the connection between the scattered points in a data set.

In this case, the regression line that can be formed from the complete binformation will be:

b0 = y - b1x

= 8.3 - 1.0068(80.25)

= 8.3 - 80.7957

= 2.2043

Therefore, the regression line is 2.2043 + 1.0068x.

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