By using given data, prepare forward and backward difference tables. Calculate f(0.65) and f(1.45) 0.6 0.8 1 1.2 1.4 f(x) 1.2816 2.7136 5.0 8.4096 13.2496

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A: x y x2 y2 xy 76 14.2 5776 201.64 1079.2 79 19.6 6241 384.16…

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Q: 3) It is desired to determine the value of x that corresponds to f(x) = 0.2 for the following…

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Q: Question 2 Complete the table after finding a simplified form of the difference quotient. For the…

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Q: 2. Using the continuous function below, answer the following: f(x) = .15e-.15(x-0.5) where >.5

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A: The given table is Score Interval f x less than cumulative frequency 91-100 5 95.5 65 81-90 5…

Q: For the data set below, use the graph to determine if 2. 3. 9.1 16.2 35.4 77.2 94 4 AYIS…

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Q: (a) Use the data to estimate the following.    h′(5.5)= 42.89 ft/sec  h′(6)= 42.06 ft/sec…

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Q: 3. Use Neville's method to approximate f(3.6) given the followin 3.3 3.4 3.5 3.7 f(x) | 2.68 2.98…

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Q: dR Estimate dp 16 of the function R = b=17 О а. 16 33 O b. 289 16 с. - 289 16 O d. 289 1 O e. - 289

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Q: Consider the following data x -2 -1 0 1 2 3 y -8 -4 2 10 20 32 Find f(-1.5) and f(2.2) using…

A: Given the difference table; x f(x) ∆f(x) △2f(x) △3f(x) △4f(x) △5f(x) -2 -8               4…

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Q: Self-work: Sketch the derivative of the following function 1.6 1.4 1.2 1.0 0.8 0 1 2 3 X 4 5 6 Poll…

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Q: Calculate f(6) by using given values below. 4 7 10 16 12 16 24 40 52 y

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A: SUMMARY OUTPUT                                 Regression Statistics               Multiple R…

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.