MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Step 1: State the given information.
VIEW Step 2: Calculate the correlation when data contain an outlier.
VIEW Step 3: Calculate the correlation when data does not contain an outlier.
VIEW Step 4: Determine whether inclusion of the outlier change the evidence for or against a linear correlation
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- The following bivariate data set contains an outlier. X y 53 -2633.5 39.8 -425.5 66.2 -3345.2 66.7 3265.7 64.4 967.1 50.7 973.8 47.1 -603.8 25.3 851.5 23.3 1832.8 38.1 1726.6 58.1 869 43.6 998.5 59.8 -3427 59.7 -438 196.9 23343.8 What is the correlation coefficient with the outlier? rw = three decimal places.] [Round your answer to What is the correlation coefficient without the outlier? rwo = to three decimal places.] [Round your answer Would inclusion of the outlier change the evidence for or against a linear correlation? Yes. Including the outlier changes the evidence regarding a linear correlation. No. Including the outlier does not change the evidence regarding a linear correlation. Question for thought: Would you always draw the same conclusion with the addition of an outlier?arrow_forwardThe following bivariate data set contains an outlier. x y 74.8 -4.1 64.8 22.7 63.4 26.8 83.5 89.7 67 18 68.4 95.5 57.1 29.6 74.6 134.1 66.9 139.6 73.5 71.5 78.8 48.6 82.6 111.2 81.4 72.2 54.9 -16.7 169.3 -485.6 What is the correlation coefficient with the outlier?rw = What is the correlation coefficient without the outlier?rwo = For the next questions, I want you to consider that there is more than the existence or non-existence of correlation. You can have: Strong positive correlation Moderate positive correlation No correlation Moderate negative correlation Strong negative correlation Would inclusion of the outlier change the evidence for or against a significant linear correlation at 5% significance? No. Including the outlier does not change the evidence regarding a linear correlation. Yes. Including the outlier changes the evidence regarding a linear correlation. Would you always draw the same conclusion to the above question with the…arrow_forwardThe following bivariate data set contains an outlier. x y 52.1 -1079.6 46.8 -626.4 27.1 -539.1 54.2 88.7 38.5 -512.5 55.2 461.1 49.2 975.4 35.5 -1773.3 39.4 1392.5 48.8 -1035.8 62.5 -517.7 36.8 -1138.2 48.7 -2534.1 43.2 60.2 168.7 13172.3 What is the correlation coefficient with the outlier? rw = What is the correlation coefficient without the outlier? rwo = Would inclusion of the outlier change the evidence for or against a significant linear correlation? No. Including the outlier does not change the evidence regarding a linear correlation. Yes. Including the outlier changes the evidence regarding a linear correlation.arrow_forward
- The following bivariate data set contains an outlier. x y 26.6 815.2 38.2 235.3 2.3 -1180.7 37.7 1123.9 29 1197.7 17.8 232.1 11.9 -738.2 38.5 209.5 6.8 -117.2 27.8 2337.1 1.2 2444.8 9.9 4261.3 20 2613.9 41.6 579.5 162.8 -17506.7 What is the correlation coefficient with the outlier?rw = What is the correlation coefficient without the outlier?rwo = Submit QuestionQuestion 3arrow_forwardHere is a sample data set. 254.2 338.4 218.7 271.8 403.4 339.5 403.6 393.5 339.2 438 362.3 455 404.9 356.3 267.2 367.7 387.7 352.2 397.7 358.5 288.8 411 372.8 357.4 344.7 410.3 446.2 289.1 367.7 453 404.9 349 420.2 255.4 404.5 284.4 310 363 338.4 338.4 443.8 260.5 472.4 356.6 285.3 439.1 403.8 478.1 432 376.8 388.8 389.3 322.5 404.9 Find the first quartile for this data set. Q1 Find the third quartile for this data set. Q3 = Find the interquartile range for this data set. IQR =arrow_forwardThe following bivariate data set contains an outlier. x y 26.1 211.3 35.4 -464.7 41.6 -98.6 19.9 305.9 31.9 99.5 50.1 -676.3 42.3 -180.3 32 494.1 21 345.4 35.4 792.7 22.4 -46.3 30.5 -22.6 50.9 700.4 16.8 146.3 153.2 -5083.3 What is the correlation coefficient with the outlier?rw = What is the correlation coefficient without the outlier?rwo = Would inclusion of the outlier change the evidence for or against a significant linear correlation? Yes. Including the outlier changes the evidence regarding a linear correlation. No. Including the outlier does not change the evidence regarding a linear correlation. Question for thought: Would you always draw the same conclusion with the addition of an outlier?arrow_forward
- What is the slope of the median median line for the dataset in this table?arrow_forwardThe following bivariate data set contains an outlier. x y 25.3 -551.6 22.3 -261.3 43.5 1217.2 5.7 118.1 62 -559.5 47.6 -1035 52.2 182.4 24.3 -137.7 44.5 -1382.1 36.5 1326.1 3.1 303.8 40.3 22.9 27.2 262 16.4 -1269.6 238.7 9450.7 What is the correlation coefficient with the outlier? Enter your answer rounded to 3 decimal places.rw = What is the correlation coefficient without the outlier? (Hint: The last row is the outlier.) Enter your answer rounded to 3 decimal places.rwo =arrow_forwardAre there any mild outliers in the college students data? Show all work. Construct and label a modified boxplot for the college students data.arrow_forward
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