4.ObservationX₁Yi1 2 3 4 56 7 819.4 18.3 22.1 20.7 19.2 11.8 20.1 18.619.8 16.8 21.1 22.0 21.5 18.7 15.0 23.9(a) Determine di = X¡ - Y¡ for each pair of data.(b) Compute d and sa-(c) Test if pa0 at the a = 0.01 level of significance.(d) Construct a 99% confidence interval about the populationmean difference µd.

4. The data shows the X and Y variables.

Answered: 4. Observation Xi Y₁ 1 2 3 4 5 6 7 8…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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11
The following sample contains values of the price and quantity sold of a particular commodity. Use quantity sold as the dependent variable Y. Price (X) 6.00 3.00 7.00 1.00 2.00 8.00 Quantity sold (Y) 53 67 48 76 70 28 ∑x}=27, ∑y=342, ∑x2=163, ∑xy=1295, ∑y2 = 21062, n=6. d. Find the coefficient of determination and interpret .
. The following data represent the observed number of defective disks produced each hour based on observing the system for 30 successive hours. 3 5 2 6. 8 3 5 4 6. 6 9. 1 2 1 2 5 3 3 1 7 1 7 4 4 3 a. Plot a frequency histogram for the numbers of failures per hour. b. Compute the mean and the variance of the sample. Use the formulas X = Xi- n i=1 1 X} – nX? п — 1 (Note: You can streamline the calculations by grouping the data first, as there are only 10 distinct values.) c. If the number of defective disks produced hourly is normally distributed with mean and variance computed in part (b), determine the probability that fewer than five defectives are observed in any particular hour. d. If each disk costs the company $5 to produce and defective disks are discarded, how long (in an expected-value sense) would it take to pay off a new piece of equipment costing $45,000 that would reduce defectives to half of the current level? Assume 40-hour production weeks and 48 weeks per year.
O REGRESSION AND CORRELATION Linear relationship and the sample correlation coefficient Shas Below are four bivariate data sets and the scatter plot for each. (Note that each scatter plot is displayed on the same scale.) Each data set is made up of sample values drawn from a population. y 11 10- 94 S- 1.0 6.7 1.0 7.4 10- 2.0 9.4 2.0 9.1 3.0 4.0 3.0 7.0 4.0 9.1 6+ 4.0 5.3 5- 5.0 4.7 5.0 8.0 4. 3 2- 7.0 6.4 6.0 1.7 6.0 5.1 7.0 | 4.6 8.0 10.1 9.0 5.1 8.0 6.5 9.0 5.7 10.0 3.7 10.0 8.0 | Figure 1 Figure 2 t 1.0 3.2 1.0 1.0 2.0 2.0 2.0 4.2 3.0 3.3 3.0 3.0 4.0 4.9 4.0 4.0 5.0 4.5 5.0 5.0 6.0 6.8 6.0 6.0 7.0 5.8 7.0 7.0 8.0 7.3 8.0 8.0 9.0 6.6 9.0 9.0 10.0 8.2 Figure 3 10.0 10.0 Figure 4 Explanation Check e 2021 McGraw-H Education. All Rights Reserved. Terms of Use I Privacy Accessibilty P Type here to search
Z.5 points A dependent t-test study and an independent t-test study both produced a t statistic with df = 10. How many individuals participated in each study? 12 for dependent and 12 for independent 12 for the dependent and 11 for independent 11 for dependent and 11 for independent 11 for dependent and 12 for independent
23:23 ..l ? YE 74 [Template] Sta.. Business Statistics Skill 2 Answer the following Questions. Each question carries 5 marks. (2*5=10) 1. Calculate Coefficient of correlation from the following data: 500 1000 1500 2000 2500 3000 3500 100 200 300 400 500 600 700 2. Obtain the regression equations for the following taking 42 and 58 as assumed mean. |X 10 25 34 42 37 35 36 45 Y 56 64 63 58 73 75 82 77
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Question 5 of 19 Compute the MSE for the following data. Period 1 2 3 4 5 6 13 Select the correct response. 12 11 Actual 492 470 485 493 498 492 14 Forecast (Error) 495 465 487 490 499 498 -5 -3 1 6 |Error] 3 LO 5 2 3 1 6 Error² 9 25 4 9 1 36 Error/Actual*100 0.60 1.06 0.41 0.60 0.20 1.21
6. Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take both tests and the results are given below. (x)TestA 48 52 58 44 43 43 40 51 59 (y)TestB| 73 67 73 59 58 56 58 64 74 a. Plot the scatter diagram below. Label x and y axes. Do a rough sketch. b. Find the value of the linear correlation coefficient r by the TI83 shortcut- state calculator screen name c) Test the claim of no linear relation by the TI83 p-value method. a .05 claim null hypothesis. alternative hypothesis... Calculator Screen Name..... test statistic pvalue/alpha comparison.….... decision Conclusion d) Find the estimated equation of the regression line by T183 shortcut e) Plot the regression line on the scatter diagram in part a). f) Assuming a significant linear correlation, predict the score a student would get on Test B, given he got a 90 on Test A. g) What percentage of the total variation can be explained by the regression line

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