7. Calculate the rank correlation. 66 65 67 68 69 70 71 72 X: 67 68 69 72 78 80 82 85 y: H with CamScanner
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Step by step
Solved in 3 steps with 3 images
- Below is data for two variables, X and Y. Answer the questions that follow. X Y X-MX Y-MY (X-MX)2 (Y-MY)2 (X-MX)(Y-MY) 3 3 -2 -1 4 1 2 4 3 -1 -1 1 1 ___ 6 4 1 ___ 1 0 0 7 6 2 2 ___ 4 4 Positive or negative correlation?a O X C 3 2 1 4 Y 4 5 8 4 6 16 23 X 12 10 00 8 Given values of x and y, the correlation has a. very strong relationship. b. very strong negative relationship c. slight relationship 16 2 12 58Find the value of the linear correlation coefficient r using the paired data below. 75 35 95 16 35 65 16 y 165 146 136 177 195 157 115 O0.109 O-0.078 O0214 O-0.086
- What kind of relationship is depicted in the following graph? 7 2 1 0 2 3 a. A positive linear correlation b. A nonlinear correlation c. No correlation Od. A negative linear correlation 6 9 104. Find out Spearman's Rank correlation for the following data and write your comment. Profits 65 54 46 54 38 85 46 68 95 of X Profits 55 35 40 55 65 75 40 55 65 of Y 70 70Here is a bivariate data set. x y 64 101 79 18 61 96 78 55 56 8 78 -7 60 26 76 7 99 55 Find the correlation coefficient and report it accurate to four decimal places. r = A good correlation calculator is found at Correlation Calculator
- Give an example of two variables that have a positive linear correlation. Give an example of two variables that have a negative linear correlation. Give an example of two variables that have no correlation. Below is the height in inches and weight in pounds of eleven individuals Height, x 62 63 66 68 70 72 73 74 74 75 75 Weight, y 195 190 250 220 250 255 260 275 280 295 300 x = 65 inches x = 69 inches x = 71 inchesFrom the calculation that you obtained, interpret the correlation coefficient of the data found in the table Person Hand Height A 17 150 B 15 154 19 169 17 172 E 21 175 portConsider the bivariate data set with n = 7 observations X -4 1 -6 9. -8 -4 -4 Y 20 60 -10 99 -3 16 18 where a linear relationship between X and Y is investigated. The equation relating Y to X is formulated by Y = Bo + B1X + e and is called the simple linear regression equation. Use your calculator to answer the following questions. Give the values of the least squares estimates Bo Round your answer to the nearest integer. Round your answer to 3 decimal places.
- Calculate the correlation coefficient of the two variables below. Person Hand Height 17 150 B 15 154 19 169 D 17 172 21 175 O a. The correlation coefficient is 0.72 O b. The correlation coefficient is o.86 O c. mh relation coefficient is 0.47 ne left 1:40:19The figure below shows the relationship between tree height and tree age for a given tree species. What is the approximate correlation between the two variables; 0.99, 0, -0.98, or 1?A negative correlation means that decreases in the X variable tend to be accompanied by decreases in the Y variable. T or F
