Each of the following graphs show the relationship between two variables. Determine the Pearson product-momentcorrelation coefficient (r) for each graph.12425-n 20-15-10-5-3 101510202025Variable 1Variable 1Answer Bankr = 0.4r = -0.991.0-30-r = 0.9r = -0.8o 0.8-20-0.6-> 0.4-10-r = 0.00.2410150.2 0.4 0.6 0.8 1.0Variable 1Variable 130-30-25-25-20-20-15-15-10-10-5-5-510151015Variable IVariable 14-2-10152025Variable 2Variable 3Variable 6Variable 7Variable 4Variable 8Variable 5

The Correlation coefficient is the measure of strength of association between two variables(X and Y…

Answered: Each of the following graphs show the…

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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Each of the following graphs show the relationship between two variables. Determine the Pearson product-moment correlation coefficient (r) for each graph
A departmental store has the following sales for a period of last one year of 8 salesmen, who have different years of education. Years of Education 8 10 10 12 14 16 Annual Sales (Thousand Tk.) 100 120 80 100 80 100 70 130 a. Determine the correlation coefficient r between the two variables. Answer rounded to at least 4 decimal places. b. Determine the slope coefficient B1 for the regression of annual sales on years of education. Answer rounded to at least 4 decimal places. c. Determine the y-intercept Bo for the regression of annual sales on years of education. Answer rounded to at least 4 decimal places. d. What will be the annual sales when the years of education is 11 (years)? Answer rounded to at least 4 decimal places. Thousand Tk.
Table #10.1.6 contains the value of the house and the amount of rental income in a year that the house brings in ("Capital and rental," 2013). Find the correlation coefficient of determination and then interpret both Table #10.1.6: Data of House Value versus Rental Value Rental Value Rental Value Rental Rental Value 67500 81000 6656 77000 4576 75000 7280 6864 95000 7904 94000 8736 90000 6240 85000 7072 121000 12064 115000 7904 110000 7072 104000 7904 135000 8320 130000 9776 126000 6240 125000 7904 145000 8320 140000 9152 7488 9568 140000 135000 7488 165000 13312 165000 8528 155000 148000 8320 178000 11856 174000 10400 170000 9568 170000 12688 匯 190000 200000 225000 8320 12272 8528 200000 200000 10608 194000 11232 8320 10400 11648 10192 12272 10400 200000 240000 214000 208000 240000 10192 240000 12064 12480 244500 11232 12896 12480 289000 11648 270000 262000 325000 12480 310000 303000 300000 12480
Consider the following table of data. 2 3 4 y 1 1 1 1.1 (a) Calculate the correlation coefficient. (b) Sketch a graph of the data. (c) Based on how closely the data fits a straight line, is your answer to part (a) surprising? Discuss the extent to which the correlation coefficient describes how well the data fit a horizontal line.
a. State the Pearson correlation trend between the two variables b. List the necessary steps to determine if there is a linear relationship between two variables.
8
The following table shows the number of units of a certain item sold by a store over a month in terms of the price in dollars charged by the store. Price in dollars 0.90 1.00 1.15 1.25 1.40 Number sold . 315 280 230 215 195 Use technology to find the correlation coefficient for the data. (Use decimal notation. Give your answer to two decimal places.) correlation coefficien What type of correlation is there between the price and the number sold?
If a predictor variable (x) is highly correlated with another predictor variable (x), the variables are providing essentially the same information. This is best referred to as multi-collinearity. Group of answer choices True False
After gathering data about the number of starfish and measuring the pollution in areas of the ocean you find a negative linear correlation between pollution levels and number of starfish. What can you conclude based on this information? a. There is a confounding variable that is affecting both pollution and starfish. b. As pollution rises the number of starfish falls c. That pollution is causing starfish to die, leading to the negative correlation d. That pollution is supporting starfish, leading to the negative correlation
Calculate co-efficient of correlation from the following data : 500 1000 1500 2000 X: Y: 2500 3000 3500 100 200 300 400 500 600 700
Homework Q2: Find the Pearson correlation coefficient Person Age (x) Income (y) (xy) (x²) (y²) 1 20 1500 30000 400 2250000 2 30 3000 90000 900 9000000 3 40 5000 200000 1600 25000000 4 50 7500 375000 2500 56250000 Total 140 17000 695000 5400 92500000 23
13 A Calculate Pearson's product Moment Correlation Coefficient and indicate its significance. Age(x) 3031 4243 44 45 Mark (y) 30 36 42 44 48 58 B Calculate the spearman's rank correlation for the data and explain the value. Age (x) 25 26 28 32 35 40 Mark (y) 60 65 77 89 72 87

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