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... Statistical Data 11-1 Entering One-Variable Data 11-2 Entering Two-Variable Data 11-2 Correcting Errors in Data Entry 11-2 Statistical Calculations 11-4 Mean 11-4 Sample Standard Deviation 11-6 Population Standard Deviation 11-6 Linear Regression 11-7 Limitations on Precision of Numbers 10-5 Windows for Long Binary Numbers 10-6 11. Simple Programming Designing... Registers 11-10 Summation Statistics 11-10 The Statistics Registers in Polar Notation 9-5 10. Programming 12. Using Complex Numbers in Calculator Memory 11-11 Access to the Statistics Registers 11-11 Part 2.
... Statistical Data 11-1 Entering One-Variable Data 11-2 Entering Two-Variable Data 11-2 Correcting Errors in Data Entry 11-2 Statistical Calculations 11-4 Mean 11-4 Sample Standard Deviation 11-6 Population Standard Deviation 11-6 Linear Regression 11-7 Limitations on Precision of Numbers 10-5 Windows for Long Binary Numbers 10-6 11. Simple Programming Designing... Registers 11-10 Summation Statistics 11-10 The Statistics Registers in Polar Notation 9-5 10. Programming 12. Using Complex Numbers in Calculator Memory 11-11 Access to the Statistics Registers 11-11 Part 2.
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...Standard Deviation 16-17 17. Miscellaneous Programs and Equations Time Value of Simultaneous Equations 15-12 Polynomial Root Finder 15-20 Coordinate Transformations 15-32 16. 15. Appendixes and Reference A. Mathematics Programs Vector Operations 15-1 Solutions of Money 17-1 Prime Number Generator 17-6 Part 3. Support, Batteries, and Service Calculator... Support A-1 Answers to Common Questions A-1 Environmental Limits A-2 Changing the Batteries A-2 Testing Calculator Operation A-4 The Self-Test A-5 Warranty A-6 ...
...Standard Deviation 16-17 17. Miscellaneous Programs and Equations Time Value of Simultaneous Equations 15-12 Polynomial Root Finder 15-20 Coordinate Transformations 15-32 16. 15. Appendixes and Reference A. Mathematics Programs Vector Operations 15-1 Solutions of Money 17-1 Prime Number Generator 17-6 Part 3. Support, Batteries, and Service Calculator... Support A-1 Answers to Common Questions A-1 Environmental Limits A-2 Changing the Batteries A-2 Testing Calculator Operation A-4 The Self-Test A-5 Warranty A-6 ...
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... linear estimation. º ¸ º· 11 Arithmetic mean of statistical x-values. weighted mean of statistical x- HP 33s Menus Menu Name L.R. There are menu keys. Getting Started 1-7 Using Menus There is because 14 of the keys are 14...HP 33s than what you see on page 4-8. Q 11 Statistical data summations. 11 Base conversions (decimal, hexadecimal, octal, and binary). and y-values; Programming Instructions @ 13 Functions to 4 " Physics constants" on the keyboard. Uº U 11 Sample standard deviation, population standard deviation...
... linear estimation. º ¸ º· 11 Arithmetic mean of statistical x-values. weighted mean of statistical x- HP 33s Menus Menu Name L.R. There are menu keys. Getting Started 1-7 Using Menus There is because 14 of the keys are 14...HP 33s than what you see on page 4-8. Q 11 Statistical data summations. 11 Base conversions (decimal, hexadecimal, octal, and binary). and y-values; Programming Instructions @ 13 Functions to 4 " Physics constants" on the keyboard. Uº U 11 Sample standard deviation, population standard deviation...
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...Mean, sample and population standard deviations. Linear regression and linear estimation ( xˆ and yˆ ). Weighted mean (x weighted by y). Summation statistics: n, Σx, Σy, Σx2, Σy2, and Σxy. Data values are accumulated as summation statistics in six statistics registers (28 through 33), whose names are entered...set of statistical data (press { c {;} ). Statistical Operations 11-1 Entering Statistical Data One- and two-variable statistical data are displayed in the HP 33s provide functions to statistically analyze a set of one-
...Mean, sample and population standard deviations. Linear regression and linear estimation ( xˆ and yˆ ). Weighted mean (x weighted by y). Summation statistics: n, Σx, Σy, Σx2, Σy2, and Σxy. Data values are accumulated as summation statistics in six statistics registers (28 through 33), whose names are entered...set of statistical data (press { c {;} ). Statistical Operations 11-1 Entering Statistical Data One- and two-variable statistical data are displayed in the HP 33s provide functions to statistically analyze a set of one-
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... the statistics menus. Example: Mean (One Variable). Statistical Calculations Once you have entered your data, you can be integers or non-integers. Production supervisor May Kitt wants to determine the average time that a certain process takes. The standard-deviation menu: {Uº} {U See "Sample Standard Deviation" and "Population Standard Deviation" later in minutes): 11-4 Statistical Operations She randomly...
... the statistics menus. Example: Mean (One Variable). Statistical Calculations Once you have entered your data, you can be integers or non-integers. Production supervisor May Kitt wants to determine the average time that a certain process takes. The standard-deviation menu: {Uº} {U See "Sample Standard Deviation" and "Population Standard Deviation" later in minutes): 11-4 Statistical Operations She randomly...
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... the times. (Treat all the data as a divisor. Press | {σº} for the population standard deviation of the x-values. Press | {σ¸} for the standard deviation of the y-values. 11-6 Statistical Operations UºU Calculates the standard ) deviation time. Sample Standard Deviation Sample standard deviation is a measure of how dispersed the data values are about the mean. six ) data points...
... the times. (Treat all the data as a divisor. Press | {σº} for the population standard deviation of the x-values. Press | {σ¸} for the standard deviation of the y-values. 11-6 Statistical Operations UºU Calculates the standard ) deviation time. Sample Standard Deviation Sample standard deviation is a measure of how dispersed the data values are about the mean. six ) data points...
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...correlation coefficient is a statistical method for a given hypothetical value of x,y-data. UºU Calculates the population ) standard deviation. Estimates (predicts) y for finding a straight line that measures how closely the calculated line fits the data. Four data points ) accumulated. Note To avoid a ... 174, and 180 cm. menu. Grandma Hinkle has four grown sons with heights of the calculated line. Example: Population Standard Deviation. Keys: Display: Description: { c {´} 170 173 174 180 Clears the statistics registers. ...
...correlation coefficient is a statistical method for a given hypothetical value of x,y-data. UºU Calculates the population ) standard deviation. Estimates (predicts) y for finding a straight line that measures how closely the calculated line fits the data. Four data points ) accumulated. Note To avoid a ... 174, and 180 cm. menu. Grandma Hinkle has four grown sons with heights of the calculated line. Example: Population Standard Deviation. Keys: Display: Description: { c {´} 170 173 174 180 Clears the statistics registers. ...
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... back to those provided by the original data values. For example, if your x and y values have greatly different magnitudes. then add 7777000 back to correctly calculate the standard deviation and linear regression for a variable whose data values differ by entering each value as the difference from one central value (such as -1, 0, and 1; To...
... back to those provided by the original data values. For example, if your x and y values have greatly different magnitudes. then add 7777000 back to correctly calculate the standard deviation and linear regression for a variable whose data values differ by entering each value as the difference from one central value (such as -1, 0, and 1; To...
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..., look at the program for the mean and standard deviation. Routine D sets a limit of programming. A routine typically starts with a label (LBL) and ends with counters to simplify programs by collecting the input for "Normal and Inverse-Normal Distributions" in routine F and finishes the probability calculation of one or more sophisticated but useful techniques...
..., look at the program for the mean and standard deviation. Routine D sets a limit of programming. A routine typically starts with a label (LBL) and ends with counters to simplify programs by collecting the input for "Normal and Inverse-Normal Distributions" in routine F and finishes the probability calculation of one or more sophisticated but useful techniques...
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...e dx x −((x −x )÷σ )2 ÷2 σ 2π x This program uses the built-in integration feature of the HP 33s to integrate the equation of the normal frequency curve. This is obtained using Newton's method to iteratively search for a value of x which yields the given ... also provides the inverse: given a value Q(x), the program calculates the corresponding value x. Given a value x, this program calculates the probability that the sample distribution is symmetric about a mean , M, with a standard deviation, S, and approximates the shape of the bell-shaped curve...
...e dx x −((x −x )÷σ )2 ÷2 σ 2π x This program uses the built-in integration feature of the HP 33s to integrate the equation of the normal frequency curve. This is obtained using Newton's method to iteratively search for a value of x which yields the given ... also provides the inverse: given a value Q(x), the program calculates the corresponding value x. Given a value x, this program calculates the probability that the sample distribution is symmetric about a mean , M, with a standard deviation, S, and approximates the shape of the bell-shaped curve...
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... Stores the mean , M. Stores default value for standard deviation. ! "! Checksum and length: 79B9 12 This label defines the start of standard deviation. Calculates the derivative at Xguess. Checksum and length: D72F 48 This routine calculates Q(X) given X Prompts for Xguess. 16-12 Statistics Programs Calculates (Q( Xguess)- Calculates the correction for and stores X Calculates upper tail area Stores value in Q so...
... Stores the mean , M. Stores default value for standard deviation. ! "! Checksum and length: 79B9 12 This label defines the start of standard deviation. Calculates the derivative at Xguess. Checksum and length: D72F 48 This routine calculates Q(X) given X Prompts for Xguess. 16-12 Statistics Programs Calculates (Q( Xguess)- Calculates the correction for and stores X Calculates upper tail area Stores value in Q so...
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... S, key in the program routines; Computation time is adequate for M, key in the inverse capability. Key in the population standard deviation and press g. (If the standard deviation is 1, just press g.) 5. You do not need to key in the inverse routine (in routines I and T) if...After the prompt for most applications. For inputs in the area between ±3 standard deviations, a display of four or more significant figures is significantly less with a lower number of displayed digits. To calculate X given Q(X), skip to the calling routine. Remarks: The accuracy of these ...
... S, key in the program routines; Computation time is adequate for M, key in the inverse capability. Key in the population standard deviation and press g. (If the standard deviation is 1, just press g.) 5. You do not need to key in the inverse routine (in routines I and T) if...After the prompt for most applications. For inputs in the area between ±3 standard deviations, a display of four or more significant figures is significantly less with a lower number of displayed digits. To calculate X given Q(X), skip to the calling routine. Remarks: The accuracy of these ...
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... the left side of 1. The result, X, is stated in terms of standard deviations, use the default value of 1 for M. To calculate Q(X) given X, X D. 7. To calculate X for a new X with the same mean and standard deviation, press g and go to step 7. 9. X Input value that your ...the value of integration. Q Probability corresponding to the inverse program. S Population standard deviation, default value of the upper-tail area. To calculate Q(X) for a new Q(X) with the same mean and standard deviation, press g and go to step 10. Variables Used: D Dummy variable ...
... the left side of 1. The result, X, is stated in terms of standard deviations, use the default value of 1 for M. To calculate Q(X) given X, X D. 7. To calculate X for a new X with the same mean and standard deviation, press g and go to step 7. 9. X Input value that your ...the value of integration. Q Probability corresponding to the inverse program. S Population standard deviation, default value of the upper-tail area. To calculate Q(X) for a new Q(X) with the same mean and standard deviation, press g and go to step 10. Variables Used: D Dummy variable ...
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...90? Multiplies by the population. Displays the ratio of the population smarter than everyone within three standard deviations of the mean of a set of Q(X). Displays the approximate number of 2 and calculates Q(X). X D 3g 10000 z %@ value ) Starts the distribution program and prompts for the ...the students would be the score that the program may be . Assuming that the standard normal curve adequately models the distribution, what is 15.3. Multiplies by the population for X. The standard deviation is the probability that meet the criteria. Keys: (In RPN mode) X S...
...90? Multiplies by the population. Displays the ratio of the population smarter than everyone within three standard deviations of the mean of a set of Q(X). Displays the approximate number of 2 and calculates Q(X). X D 3g 10000 z %@ value ) Starts the distribution program and prompts for the ...the students would be the score that the program may be . Assuming that the standard normal curve adequately models the distribution, what is 15.3. Multiplies by the population for X. The standard deviation is the probability that meet the criteria. Keys: (In RPN mode) X S...
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... of the grouped data. Sxg = ¦ ¦¦ xi2f i− ( xif i)2 fi ( ¦fi ) − 1 This program allows you to input data, correct entries, and calculate the standard deviation and weighted mean . Keys: (In RPN mode) Display: Description: X I 0.1 g g 0.8 g ) Starts the inverse routine. Statistics Programs 16-17 Stores 0.1 (10 percent) in Q(X) and...
... of the grouped data. Sxg = ¦ ¦¦ xi2f i− ( xif i)2 fi ( ¦fi ) − 1 This program allows you to input data, correct entries, and calculate the standard deviation and weighted mean . Keys: (In RPN mode) Display: Description: X I 0.1 g g 0.8 g ) Starts the inverse routine. Statistics Programs 16-17 Stores 0.1 (10 percent) in Q(X) and...
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Program Listing: Program Lines: (In ALG mode) Description Start grouped standard deviation program. ; Clears statistics registers (28 through 33). ! Clears the count N. Stores data-point frequency in F. Enters increment for register 29. ¦ Updates xifi in register 29. xifi Stores index for N. ! Recalls data-...
Program Listing: Program Lines: (In ALG mode) Description Start grouped standard deviation program. ; Clears statistics registers (28 through 33). ! Clears the count N. Stores data-point frequency in F. Enters increment for register 29. ¦ Updates xifi in register 29. xifi Stores index for N. ! Recalls data-...
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...: E469 33 Flags Used: None. " -+. Changes sign of data pairs. ! Goes to label I for more points. Statistics Programs 16-19 " ! " Recalls last data frequency input. " ! " ! Adjusts count and summations. Checksum and length: 7246 24 " " Undo data-entry error. Checksum and length: 3080 117 Calculates statistics for grouped data. Uº Grouped standard deviation. ! Displays grouped standard deviation...
...: E469 33 Flags Used: None. " -+. Changes sign of data pairs. ! Goes to label I for more points. Statistics Programs 16-19 " ! " Recalls last data frequency input. " ! " ! Adjusts count and summations. Checksum and length: 7246 24 " " Undo data-entry error. Checksum and length: 3080 117 Calculates statistics for grouped data. Uº Grouped standard deviation. ! Displays grouped standard deviation...
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...statistics register. To start a new problem, start entering new data. 3. Data-point frequency. Summation Σxifi. Press X S to calculate and display the grouped standard deviation. 8. Repeat steps 3 through 5 for each data point. When the last data pair has been input, press X G to start...fi) after VIEWing the number of the grouped data. 9. Data-pair counter. Example: Enter the following data and calculate the grouped standard deviation. 16-20 Statistics Programs To add additional data points, press g and continue at step 2. press when done. 2. ...
...statistics register. To start a new problem, start entering new data. 3. Data-point frequency. Summation Σxifi. Press X S to calculate and display the grouped standard deviation. 8. Repeat steps 3 through 5 for each data point. When the last data pair has been input, press X G to start...fi) after VIEWing the number of the grouped data. 9. Data-pair counter. Example: Enter the following data and calculate the grouped standard deviation. 16-20 Statistics Programs To add additional data points, press g and continue at step 2. press when done. 2. ...
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Displays the counter. Clears VIEW. 16-22 Statistics Programs Prompts for the fifth xi. Calculates and displays weighted mean ( x ). Prompts for the fifth fi. Displays the counter. Prompts for the fourth fi. Prompts for the sixth xi. g 15 g 43 g g 22 g 73 g g 37 g 115 g X G g ) / Prompts for the sixth fi. Prompts for the fourth xi. Displays the counter. Calculates and displays the grouped standard deviation (sx) of the six data points.
Displays the counter. Clears VIEW. 16-22 Statistics Programs Prompts for the fifth xi. Calculates and displays weighted mean ( x ). Prompts for the fifth fi. Displays the counter. Prompts for the fourth fi. Prompts for the sixth xi. g 15 g 43 g g 22 g 73 g g 37 g 115 g X G g ) / Prompts for the sixth fi. Prompts for the fourth xi. Displays the counter. Calculates and displays the grouped standard deviation (sx) of the six data points.
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... the sum of products of x-and y-values. | {;¸} Returns the sum of y-values. | {;¸} Returns the sum of squares of y-values. | {σº} Returns population standard deviation of x-values: ¦(xi − x)2 ÷ n | {σ¸} Returns population standard deviation of y-values: ¦(yi − y )2 ÷ n | s Polar to (x, y).
... the sum of products of x-and y-values. | {;¸} Returns the sum of y-values. | {;¸} Returns the sum of squares of y-values. | {σº} Returns population standard deviation of x-values: ¦(xi − x)2 ÷ n | {σ¸} Returns population standard deviation of y-values: ¦(yi − y )2 ÷ n | s Polar to (x, y).