Finger Dexterity

1. Finger Dexterity, the ability to make precisely coordinated finger movements to grasp or assemble very small objects, is important in jewelry making. Subsequently, the manufacturing manager at Gemco, a manufacturer of high-quality watches, wants to develop a regression model to predict the productivity (in watches per shift) of new employees based on dexterity. He has subjected a sample of 20 current employees to the O’Connor dexterity test in which the time required to place 3 pins in each of 100 small holes using tweezers is measured. The data is shown in the following table. Use simple linear regression analysis in JMP to see if there is a relationship between Time and Watches per shift. Time (seconds) Watches per shift 513 23 608 19 915 10 314 30 896 15 694 18 514 22 450 26 922 11 388 28 494 23 566 20 705 18 383 28 937 12 921 14 476 20 556 21 825 14 437 20 a) Construct a scatterplot of the data with the regression equation drawn through the data. b) Using JMP, compute the estimated regression equation. Write out the equation. c) Interpret the sample intercept, sample slope, and coefficient of determination. d) At the 0.05 level of significance, is there a significant linear relationship between the number of watches produced per shift and time to complete the O’Conner test? Write your answer in a sentence and report the p-value. e) Explain why the y-intercept makes no practical sense in this particular problem. f) Predict how many watches per shift would yield from an employee who (1) completes the O’Connor test in 750 seconds and (2) completes the O’Connor test in 1100 seconds.