4. Calculate Rank Co-efficient of correlation for the data givenbelow:S. No. AB CEFGHJKA19.2103118.4126.B29.174108.3126.11

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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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13. For the following set of 5 data points for two variables, what is the correlation coefficient? a. -0.780 c. +0.859 X - 0 3 6 4 9 Y 97 85 79 281 70 Zx -1.3 -0.4 0.5 -0.1 1.4 Z, 1.4 0.3 -0.3 -0.1 -1.3 b. -0.918 d. -0.975
4. Consider the following data: XINMASSN 1 2 3 4 5 6 7 y 6 7 5 4 3 1 2 a) Make a scatterplot of these data. The variable labeled "x" should be plotted along the x-axis. Describe the pattern. b) Find the correlation coefficient for these data.
A local store kept track of the number of advertisements it placed in local newspapers and the number of stereo systems it sold each week. Week 1 2 3 4 5 6 7 8 Advertisements, x 7 5 4 2 8 5 5 3 Stereos Sold, y 23 15 12 8 2 7 9 6 a) Create a scatter plot for the data showing Advertisements Vs. Stereos Sold. b) Determine the value of r, the correlation coefficient for the set of data and classify the type of correlation. c) What does this correlation coefficient suggest about the effectiveness of the advertisements? Explain
Assuming the following table of the cost (X) and selling (Y) price of flight tickets in dollars ($): Cost Price (X) Sell Price (Y) 200 300 230 250 500 510 540 700 670 730 320 500 190 412 280 355 625 635 Compute the following: 1. Plot a scatter plot of the data (manual plot or use any software like excel). (2 marks) 2. Pearson correlation coefficient (r). 3. The relation type and strength. 4. Linear regression formula (9, = Bo +B,X,). 5. The estimated of the ticket selling price when the cost is $500. 6. The error of the ticket selling price estimate when the cost is $500. 7. What is the percent of cost price variable interpret the variation of sell price variable (How much the coefficient of determination)? (2 marks) (Imark) (2 marks) (I mark) (I mark) (I mark)
Given the following corresponding set of data values for x and y: x 46 52 56 65 y 36 67 93 96 The population covariance (to 1 decimal place) = 1The correlation (to 3 decimal places) = 2
The following table shows the annual family income of the students enrolled in the JRMSU-TC and their general weighted average (GPA). Students Annual Family Income (Pesos) General weighted average (GPA) % 1 85 100,000 50,000 2 79 3 150,000 4 180,000 5 300,000 6 500,000 7 230,000 2. Determine the correlation coefficient. 82 85 93 92 95
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2. A study was conducted to determine the relationship between a person’s monthly income in Omani Rials and the number of meals that person eats away from home per month. The data are shown below.
13.
5. Use the following table to answer the question given below. Coefficient of correlation Dimension Sig (p) with variable F A -0.053 0.000 B 0.821 0.000 C -0.755 0.000 D 0.255 0.000 E -0.632 0.000 7 Comment on the correlation coefficient values (i.e. the relationship and its strength) given in the above table.
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The following are the age (in years) and price (in hundreds of dollars) data for a certain type of car. A scatterplot of the data is given to the right. 500- 400 0 300 80 80 Age (x) Price (y) 270 255 276 408 369 291 340 311 404 309 6. 6. 1 4 4 5 1 200 0 2 4 6 8 10 a. Obtain the linear correlation coefficient. b. Interpret the value of r in terms of the linear relationship between the two variables. c. Discuss the graphical interpretation of the value of r. d. Obtain the value of the coefficient of determination by squaring r. a. r= 3|(Round to three decimal places as needed)

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4. Calculate Rank Co-efficient of correlation for the data given below: S. No. A В C D E F H J K 3 11 8. A 2 10 8 4 12 7 6. В 1 7 4 10 3 12 6. 5 11 2.