Module 3 Homework Assignment Please analyze the following problems in JMP and answer the questions below 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 Construct a scatterplot of the data with the regression equation drawn through the data Using JMP, compute the estimated regression equation Write out the equation Interpret the sample intercept, sample slope, and coefficient of determination 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 Explain why the y intercept makes no practical sense in this particular problem 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 A manager at an ice cream store is trying to determine how many customers to expect on any given day Overall business has been relatively steady over the past several years, but the customer count seems to have its ups and downs He collects data over 30 days and records the number of customers, the high temperature that day, whether the day fell on a weekend weekday and whether or not an employee stands outside the store's entrance and hands out free samples Customers Temperature Day of Week Free Samples 376 75 Weekday Yes 433 78 Weekday Yes 524 80 Weekday No 360 70 Weekday No 500 80 Weekday No 645 78 Weekend No 667 80 Weekend Yes 542 85 Weekday No 412 70 Weekday No 435 72 Weekday Yes 396 69 Weekday Yes 425 70 Weekday Yes 702 90 Weekend Yes 725 85 Weekend No 509 80 Weekday Yes 450 74 Weekday No 378 70 Weekday Yes 433 69 Weekday No 467 71 Weekday Yes 679 82 Weekend No 701 80 Weekend Yes 529 83 Weekday Yes 599 92 Weekday Yes 543 90 Weekday No 432 80 Weekday Yes 375 70 Weekday Yes 690 70 Weekend No 734 85 Weekend Yes 465 74 Weekday Yes 401 68 Weekday No Which variable is the response Define two dummy variables to recode the Day of the week and Free Samples columns Fit an MLR equation to the data () Write out the full model Is the overall model significant Justify with ANOVA hypotheses and p value Are the individual variables significant If not, remove the insignificant variables stepwise, until all remaining variables are significant Also, check if there are any interactions between temperature and significant dummy variables Write the best model you've come up with Predict the number of customers the manager should expect on a Saturday with a forecasted high temperature of 80 degrees and an employee scheduled to hand out free samples What is the slope term in the equation for Temperature when Day of the Week Weekend Interpret the meaning of this value in terms of the problem What is the slope for Temperature when Day of the Week Weekday Interpret the meaning of this value in terms of the problem Is it worth it, for the manager, to pay an employee to stand outside the entrance and give out free samples

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Module 3 Homework Assignment.

Please analyze the following problems in JMP and answer the questions below.

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.

Construct a scatterplot of the data with the regression equation drawn through the data.

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.

Explain why the y-intercept makes no practical sense in this particular problem.

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.

A manager at an ice cream store is trying to determine how many customers to expect on any given day. Overall business has been relatively steady over the past several years, but the customer count seems to have its ups and downs. He collects data over 30 days and records the number of customers, the high temperature that day, whether the day fell on a weekend/weekday and whether or not an employee stands outside the store's entrance and hands out free samples.

Define two dummy variables to recode the "Day of the week" and "Free Samples" columns.

Are the individual variables significant? If not, remove the insignificant variables stepwise, until all remaining variables are significant. Also, check if there are any interactions between temperature and significant dummy variables.

Predict the number of customers the manager should expect on a Saturday with a forecasted high temperature of 80 degrees and an employee scheduled to hand out free samples.

What is the slope term in the equation for "Temperature" when "Day of the Week" = Weekend? Interpret the meaning of this value in terms of the problem. What is the slope for "Temperature" when "Day of the Week" = Weekday? Interpret the meaning of this value in terms of the problem.