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HP 35s User Manual

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Page 71

 
hp calculators 
 
HP 35s  Normal distribution applications 
 
hp calculators - 5 - HP 35s  Normal distribution applications - Version 1.0 
 Now execute label D and enter the value of x for which we wish to compute the value of Q(x). 
$
 In RPN mode:  75H/P$ 
 Figure 10 
  
Answer: The upper tail probability with a value of x equal to 20 is 0.1056. This means that 10.56% of all insurance 
adjusters would be performing faster than the individual under consideration. The person being considered 
is nearly...

Page 72

 
hp calculators 
 
HP 35s  Normal distribution applications 
 
hp calculators - 6 - HP 35s  Normal distribution applications - Version 1.0 
 Were looking for a range within which 50% of the probability falls that is evenly spread around the average. 
Since the normal distribution is symmetrical, this means that 25% would be below the mean and 25% 
would be above the mean. The input values for Q(x), however, are upper tail probabilities. This means the 
values of Q(x) that need to be input will be 0.75...

Page 73

 
 
hp calculators 
 
 
 
 
HP 35s  Linear Regression 
 
 
 
 
Linear Regression 
 
Practice solving linear regression problems 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
   

Page 74

 
hp calculators 
 
HP 35s  Linear Regression 
 
hp calculators - 2 - HP 35s  Linear Regression - Version 1.0 
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 the form Y = mX + b, where m is the slope of the 
line and b is the...

Page 75

 
hp calculators 
 
HP 35s  Linear Regression 
 
hp calculators - 3 - HP 35s  Linear Regression - Version 1.0 
 
 Figure 3 
 
Answer: The slope of the line is 1 and the y-intercept is 3. The linear regression equation is Y = 1 X + 3. 
 
Example 2: What is the slope and y-intercept of the line that best fits the points (2,5), (4,10), (6,20), and (9,25)?  
 What is the correlation? Is the linear regression line a good fit to the data points? 
 
Solution: Be sure to clear the statistics / summation memories...

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Page 77

 
 
hp calculators 
 
 
 
 
HP 35s  Working with Fractions 
 
 
 
 
 
 
 
Simple Examples Using Fractions 
 
Fractions in Programs and Equations 
 
Exact Control of Fraction Display 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
   

Page 78

 
hp calculators 
 
HP 33S  Working with Fractions 
 
hp calculators - 2 - HP 33S  Working with Fractions - Version 1.0 
Simple Examples Using Fractions 
 
The HP 35s allows the user to enter numbers as fractions of the form “a b/c”, to view results as fractions, and to control 
the way fractions are displayed. The symbol “a b/c” is written below the decimal point on the keyboard as a reminder that 
this key is used for most operations with fractions. Four simple examples will show the basics. 
 
Example...

Page 79

 
hp calculators 
 
HP 33S  Working with Fractions 
 
hp calculators - 3 - HP 33S  Working with Fractions - Version 1.0 
Answer:  The result, 4  is now displayed as a fraction; the display of Figure 3 will change to that in Figure 4. , 
is on the front of the decimal point key, which is also used for entering fractions. 
 
Example 3: Display the result using only halves, thirds or quarters. 
 
Solution: The - key allows the user to select the largest value allowable for the “/c” part of a fraction “a...

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hp calculators 
 
HP 33S  Working with Fractions 
 
hp calculators - 4 - HP 33S  Working with Fractions - Version 1.0 
 To restore - to its largest possible value, press 2.-. The largest possible value is 4095. 
 
 To stop showing numbers as fractions, press +, a second time. 
 
Fractions in Programs and Equations 
 
When an equation is typed in, numbers cannot be typed as fractions. Instead, they should be typed using the division 
symbol. For example, 1 1/3 can be typed as (1 + 1 ! 3). Better still...
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