To investigate the importance of passing on the percentage of games won by a team, the following data show the average number of passing yards per attempt (Yds/Att) and the percentage of games won (WinPct) for a random sample of $10 \mathrm=4.68 . The National Football League (NFL) records a variety of performance data for individuals and teams. B1 is the regression coefficient how much we expect y to change as x increases. B0 is the intercept, the predicted value of y when the x is 0. Predict the number of defective parts found for a line speed of 25 feet per minute. The formula for a simple linear regression is: y is the predicted value of the dependent variable ( y) for any given value of the independent variable ( x ). Use the least squares method to develop the estimated regression equation.ĭ. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?Ĭ. When there are more than one independent variables in the model, then the linear model is termed as the multiple linear regression model. Develop a scatter diagram with the line speed as the independent variable.ī. independent variable in the linear regression model, the model is generally termed as a simple linear regression model. 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. 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. Along the top ribbon in Excel go to the Insert tab. How fast the parts move past the final inspection station depends upon the line speed of the conveyor belt (feet per minute). Before we perform simple linear regression, it’s helpful to create a scatterplot of the data to make sure there actually exists a linear relationship between hours studied and exam score. After final assembly and painting, the parts are placed on a conveyor belt that moves the parts past a final inspection station. Brawdy Plastics, Inc., produces plastic seat belt retainers for General Motors at their plant in Buffalo, New York. Production Line Speed and Quality Control.
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