From the data of the following table: Calculate Spearman's rank correlation coefficient between x and y and determine its type. s
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From the data of the following table: Calculate
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- Question: Calculate the Pearson's correlation coefficient (r) between two variables, x and y, with the following data: x: [1, 2, 3, 4, 5] y: [2, 4, 6, 8, 10]Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the critical values of r using α=0.01. Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals? Overhead Width 7.1 7.5 9.6 9.3 8.7 8.2 Weight 115 193 237 196 198 186Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the critical values of r using a= 0.01. Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals? 7.2 7.7 9.7 9.2 8.3 8.9 207 Overhead Width Weight 116 198 244 195 190 Click here to view a table of critical values for the correlation coefficient. Aweignt (Kg) 300 300 (6x) 1uBraww 300 300 100 100 7 width (cm) 100 100 10 7. width (cm) 10 7. width (cm) 10 10 width (cm) The linear correlation coefficient is r= 835 (Round to three decimal places as needed.) The critical values are r= (Round to three decimal places as needed. Use a comma to separate answers as needed.) y (1,1) More Enter your answer in the answer box and then click Check Answer. Check Answer Clear All 1part remaining ns…
- 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)With the following data in 6 cities, calculate the coefficient of correlation by Pearson’s method between the density of population and death rate:Cities ABCDEF Area in sq. kilometre 150 Population in ‘000’ 30 No. of Deaths 300180 100 60 120 80 9040427224 1440 560 840 1224 312Calculate the Spearman's rank correlation coefficient between the following two sets of data: X = [3, 5, 4, 7, 6] Y = [2, 4, 3, 8, 7]
- Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the critical values of r using alpha equals 0.01. Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals? a. Construct a scatterplot. b. The linear correlation coefficient is r= (Round to three decimal places as needed.) c. The critical values are r= (Round to three decimal places as needed. Use a comma to separate answers as needed.)Compute the Pearson correlation for the following data. X Y 2 3 6 4 9 3 1 3 9 1 6 5 30 36 25 4 4 16 16 16 5 2 10 25 4 ⦁ What is the strength of the relationship? strength of the relationship is given by the correlation coefficient ⦁ What is the direction of the relationship? There is a moderate relationship as rc = 0.5 ⦁ ⦁ The direction of the relationship is positive. As the correlation coefficient is positive. ⦁ What is the r critical for this particular sample (two tailed; alpha: .05)? rc= 0.878 ⦁ Is this a significant relationship based on the standard for rejecting the null hypothesis? since the null hypothesis is not rejected we have no evidence that there is a significant relationship. ⦁ Draw a scatter plot of the data listed.A psychologist wants to determine if there is a linear relationship between the number of hours a person goes without sleep and the number of mistakes they make on a simple test. He records the following data: Hours without sleep, x 30 36 48 24 42 30 36 42 Number of MIstakes, y 6 8 15 7 10 7 10 12 Test Ho: p = 0 against H,: p± 0 at a = 0.05. The correlation coefficient r = 0.903 has been computed from the data. a) Give the critical value or values. b) Compute the value of the test statistic.
- Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the critical values of r using α=0.01. Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals? Overhead Width 7.1 7.6 9.7 9.4 8.8 8.2 Weight 111 198 246 204 202 185 Construct a scatterplot. Choose the correct graph below. (inserted as picture) The linear correlation coefficient is r=__________ (Round to three decimal places as needed.) The critical values are r= (_______,________) (Round to three decimal places as needed. Use a comma to separate answers as needed.) Because the absolute value of the linear correlation coefficient is (greater,less than, equal to) than the positive…For a data set of chest sizes (distance around chest in inches) and weights (pounds) of eight anesthetized bears that were measured, the linear correlation coefficient is r = 0.996. Use the table available below to find the critical values of r. Number of Pairs of Data n Critical Value of r 4 0.950 0.878 0.811 7 0.754 8. 0.707 9. 0.666 10 0.632 11 0.602 12 0.576 А. -0.707, +0.707 В. +0.707 С. +0.754 D. -0.7075. 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.
