In the computations below, use intercepts rounded to the nearest whole number and use X variable coefficients rounded to 2 decimal places. 1.  Using the high-low method, calculate the variable rate per hour and the fixed cost for the nursing care activity. Enter negative answers with a minus sign. Y = $ + $ x 2.  Run a regression on the data, using hours of nursing care as the independent variable. Predict cost for the cardiac nursing care for September Year 2 if 1,400 hours of nursing care are forecast. If required, round your answer to the nearest dollar.

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter2: Matrices
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High-Low Method, Scatterplot, Regression

Weber Valley Regional Hospital has collected data on all of its activities for the past 16 months. Data for cardiac nursing care follow:

  Y
Cost
  X
Hours of Nursing Care
May Year 1   $59,600   1,400        
June Year 1   57,150   1,350        
July Year 1   61,110   1,460        
August Year 1   65,800   1,600        
September Year 1   69,500   1,700        
October Year 1   64,250   1,550        
November Year 1   52,000   1,200        
December Year 1   66,000   1,600        
January Year 2   83,000   1,800        
February Year 2   66,550   1,330        
March Year 2   79,500   1,700        
April Year 2   76,000   1,600        
May Year 2   68,500   1,400        
June Year 2   73,150   1,550        
July Year 2   73,175   1,505        
August Year 2   66,150   1,290        

Required:

In the computations below, use intercepts rounded to the nearest whole number and use X variable coefficients rounded to 2 decimal places.

1.  Using the high-low method, calculate the variable rate per hour and the fixed cost for the nursing care activity. Enter negative answers with a minus sign.

Y = $ + $ x

2.  Run a regression on the data, using hours of nursing care as the independent variable. Predict cost for the cardiac nursing care for September Year 2 if 1,400 hours of nursing care are forecast. If required, round your answer to the nearest dollar.

Y = $ 

3.  Upon looking into the events that happened at the end of Year 1, you find that the cardiology ward bought a cardiac-monitoring machine for the nursing station. Administrators also decided to add a new supervisory position for the evening shift. Monthly depreciation on the monitor and the salary of the new supervisor together total $10,000. Now, run two regression equations, one for the observations from Year 1 and the second using only the observations for the eight months in Year 2. What is your predicted cost of the cardiac nursing care activity for September Year 2 if 1,400 hours of nursing care are forecast? When required, round your answer to two decimal places.

Y = $  

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