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HP 35s User Manual

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Page 251

 
hp calculators 
 
HP 35s  Trend Lines 
 
hp calculators - 5 - HP 35s  Trend Lines - Version 1.0 
 Figure 13 
 
 To estimate sales for the second quarter of next year (quarter 10), do the following: 
 
 In either RPN or algebraic mode, press: 2+-#$& 
 
 Figure 14 
  
 To estimate sales for the third quarter of the next year (quarter 11), do the following: 
 
 In either RPN or algebraic mode, press: 2++#$& 
 
 Figure 15   

Page 252

 
hp calculators 
 
HP 35s  Trend Lines 
 
hp calculators - 6 - HP 35s  Trend Lines - Version 1.0 
 To estimate sales for the fourth quarter of next year (quarter 12), do the following: 
 
 In either RPN or algebraic mode, press: 2+/$& 
 
 Figure 16 
 
 To estimate the month during which sales would reach $38,000, do the following: 
 
 In either RPN or algebraic mode, press: 203---$ 
 
 Figure 17 
 
Answer: Sales for quarters 9 through 12 are predicted to be $33,907, $34,351, $34,796 and $35,241. Sales...

Page 253

 
 
hp calculators 
 
 
 
 
HP 35s  Cost Estimation using Linear Regression 
 
 
 
 
Cost estimation using Linear Regression 
 
Practice estimating costs using linear regression 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
   

Page 254

 
hp calculators 
 
HP 35s  Cost Estimation using Linear Regression 
 
hp calculators - 2 - HP 35s  Cost Estimation using Linear Regression - Version 1.0 
Cost estimation using Linear Regression 
 
Linear regression calculates the equation for a line that best fits a set of ordered pairs by minimizing the sum of the 
squared residuals between the actual data points and the predicted data points using the estimated line’s slope and 
intercept. The equation of the line produced by linear regression is in...

Page 255

 
hp calculators 
 
HP 35s  Cost Estimation using Linear Regression 
 
hp calculators - 3 - HP 35s  Cost Estimation using Linear Regression - Version 1.0 
Practice estimating costs using linear regression 
 
Example 1: Johnson’s Chair Company has experienced the following costs for the first 6 months of the year: 
 
 # Chairs Made  Total Costs 
 5,000 $120,000 
 5,500 $122,100 
 4,800 $118,540 
 5,300 $122,400 
 4,950 $119,100 
 5,150 $124,200 
 
 What estimate would a linear regression equation produce...

Page 256

 
hp calculators 
 
HP 35s  Cost Estimation using Linear Regression 
 
hp calculators - 4 - HP 35s  Cost Estimation using Linear Regression - Version 1.0 
 Figure 4 
 
 In either RPN or algebraic mode, press: %% to view the correlation. 
 
 Figure 5 
 
 To estimate costs if 5,400 chairs are made, do the following: 
 
 In either RPN or algebraic mode, press: 2.)--#$& 
 
 Figure 6 
 
 To estimate the number of chairs made if the costs were $125,000, do the following: 
 
 In either RPN or algebraic mode,...

Page 257

 
hp calculators 
 
HP 35s  Cost Estimation using Linear Regression 
 
hp calculators - 5 - HP 35s  Cost Estimation using Linear Regression - Version 1.0 
Solution: The X values will be the number of machine hours used. The Y values will be the total costs. Be sure  
 to clear the statistics / summation memories before starting the problem.  
 () 
 
 In RPN or algebraic mode, press: 
 
*..---0.-!*
*.30--03.!*
*./+--)--!*
*.4,.-04-!*
 
 To view the linear regression results, press #$. Figure 8 displays...

Page 258

 
hp calculators 
 
HP 35s  Cost Estimation using Linear Regression 
 
hp calculators - 6 - HP 35s  Cost Estimation using Linear Regression - Version 1.0 
 To estimate the number of number of machine hours used if costs were $60,000, do the following: 
 
 In either RPN or algebraic mode, press: 24----#$ 
 
 Figure 13 
 
Answer: The linear regression equation generated is of the form: Y = 58.99X + 34,763.66. The slope of 58.99 is  
 the estimate for the variable cost per machine hour and the Y-intercept...

Page 259

 
 
hp calculators 
 
 
 
 
HP 35s  Percentages and Percentage Changes 
 
 
 
 
 
Percentages 
 
Practice working problems involving percentages 
 
Practice working problems involving  
percentage changes 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
   

Page 260

 
hp calculators 
 
HP 35s  Percentages and Percentage Changes 
 
hp calculators - 2 - HP 35s  Percentages and Percentage Changes - Version 1.0 
Percentages 
 
A percentage is a fraction multiplied by 100. For example, 25 percent is written 25%, and is 0.25 (one quarter) multiplied 
by 100. 
 
Percentages are used very widely in business, for example to specify bank rate, interest rates, tax rates, or discounts. 
Percentages and percent changes are also used outside business –  scientific or engineering...
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