In: Statistics and Probability
Brawdy Plastics, Inc., produces plastic seat belt retainers for
General Motors at the Brawdy Plastics plant in Buffalo, New York.
After final assembly and painting, the parts are placed on a
conveyor belt that moves the parts past a final inspection station.
How fast the parts move past the final inspection station depends
upon the line speed of the conveyor belt (feet per minute).
Although faster line speeds are desirable, management is concerned
that increasing the line speed too much may not provide enough time
for inspectors to identify which parts are actually defective. To
test this theory, Brawdy Plastics conducted an experiment in which
the same batch of parts, with a known number of defective parts,
was inspected using a variety of line speeds. The following data
were collected.
If required, enter negative values as negative numbers.
a. Select a scatter diagram with the line speed
as the independent variable.
SelectScatter diagram 1Scatter diagram 2Scatter diagram 3None of these choicesItem 1
b. What does the scatter diagram developed in
part (a) indicate about the relationship between the two
variables?
SelectPositive relationshipNegative relationshipItem 2
c. Use the least squares method to develop the
estimated regression equation (to 1 decimal).
ŷ = + x
d. Predict the number of defective parts found for a line speed of 25 feet per minute.