# Scatter plot and regression for Accu-Copier, Inc

1. Accu-Copiers, Inc. sells and services the Accu-500 copying machine. As part of its standard service contract, the company agrees to perform routine service on the copier. To obtain information about the time it takes to perform routine service, Accu-Copiers have collected data for 11 service calls. The data are shown below. Is number of copies serviced predictive of the number of minutes required to perform the service? (8 points)

a. Create a scatter plot for this data. What kind of relationship does this plot show?

b. Calculate a correlation for this data. Interpret this correlation.

c. Calculate the regression for this data - is this bivariate or multiple regression?

d. Write the regression equation for this data.

Service Call Number of Copiers Serviced Number of Minutes Required

1 4 109

2 2 58

3 5 138

4 7 189

5 1 37

6 3 82

7 4 103

8 5 134

9 2 68

10 4 112

11 6 154

2. The table below presents data concerning the nee for labor in 16 US Navy hospitals. Data collected include: Monthly labor hours required, monthly x-ray exposures, monthly occupied bed days, and average length of patients' stay (in days). The main objective of this regression is to help the Navy evaluate the performance of its hospitals in terms of how many labor hours are used relative to how many labor hours are needed. The Navy selected hospitals 1 through 16 from hospitals that it thought were efficiently run and wishes to use a regression model based on efficiently run hospitals to evaluate the efficiency of questionable hospitals. Create a regression equation that significantly predicts monthly labor hours required for these US Navy hospitals. (10 points)

a. Should use bivariate or multiple regression? Why?

b. Calculate the appropriate statistic. What are your predictors? What is your outcome variable?

c. Evaluate the results of the analysis - what predictor(s) were significant? Which were not? Interpret these findings.

d. Write the final equation.

e. What is the coefficient of determination for this analysis? Interpret this coefficient of determination.

https://brainmass.com/statistics/regression-analysis/scatter-plot-and-regression-187824

#### Solution Preview

1. Accu-Copiers, Inc. sells and services the Accu-500 copying machine. As part of its standard service contract, the company agrees to perform routine service on the copier. To obtain information about the time it takes to perform routine service, Accu-Copiers have collected data for 11 service calls. The data are shown below. Is number of copies serviced predictive of the number of minutes required to perform the service? (8 points)

a. Create a scatter plot for this data. What kind of relationship does this plot show?

b. Calculate a correlation for this data. Interpret this correlation.

c. Calculate the regression for this data - is this bivariate or multiple regression?

d. Write the regression equation for this data.

Service Call Number of Copiers Serviced Number of Minutes Required

1 4 109

2 2 58

3 5 138

4 7 189

5 1 37

6 3 82

7 4 103

8 5 134

9 2 68

10 4 112

11 6 154

(a) The scatter plot is ...

#### Solution Summary

A scatter plot and regression analysis is used to correlate data for Accu-Copier, Inc copying machine.