6. Calculate co-efficient of correlation using Karl Pearson's method. Advertisement ('000 Rs) (x): 39 Sale (in Lakh Rs) (v): 65 62 90 82 75 25 98 36 78 47 53 58 86 62 68 60 91 51 84
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- Compute the value of correlation coefficient of using data in table 1 for the number of hrs. a person works per week and thenumber of accidents or injuries that the person has over a peroid of one week. Table :1 Hrs.Worked ( x ) No. of accidents( y ) 30 2 42 3 25 4 44 8 56 5Given the data as shown in the table below X Y 56 0.86 44 0.93 68 0.85 76 0.87 94 0.73 a) Assuming the correlation coefficient of � and � is found to be -0.897995, calculate the slope, �, and y-intercept, �, of the "Best-Fit" line �^=��^+�. Use 4 decimal places for each of �¯, �¯, ��, and �� values obtained from your calculator. Round your answer to 4 decimal places.�= .�= .b) Using the equation of the "Best-Fit" line to predict the value of � when �= 60. Enter your answer in 4 decimal places.�^= .c) Using the equation of the "Best-Fit" line to predict the value of � when �= 0.89. Enter your answer in 4 decimal places.�^= .For each pair of quantities, decide if the correlation coefficient would be close to 1, close to -1, or not be close to 1 or -1. Part: 0/4 Part 1 of 4 (a) The number of hours a student spends studying and the score on that student's exam. The correlation coefficient would be close to 1 Part: 1/4 Part 2 of 4 Part: 2/4 X (b) The number of hours a student spends studying and the number of letters in that student's name. The correlation coefficient would be close to -1 Part 3 of 4 X Ś X Ś (c) The number of hours an overweight person spends exercising and that person's weight. The correlation coefficient would be close to 1 5
- The correlation between height and weight of a sample of 100 individuals is calculated to be 0.8 using Pearson's r. What can we conclude about the relationship between height and weight in the population from which the sample was taken?Q5/A// Determine the correlation Company A В C coefficient for the data X 73 30 21 18 Y 7 8. 9. D/IDFor the data shown to the right, determine the linear.correlation coefficient using the formulas shown below. Compare your answers in part (a) and (b). 3 5 2| 1| 0 |-1-2 y a. Use the definition r= SySy Exy - (Ex)(E»)/n b. Use the computing formula r= a. Using the definition, r= (Round to three decimal places as needed.)
- Find correlation coefficient between the exchange and expenditure from the datagiven below: Obtain the regression equation of exchange on expenditure expenses and find out theexpected exchange of a firm when expenditure is Rs. 25 lakhs. Also find coefficientof determination and interpret your result.Which of the following sets of data represent valid functions? OS = {(0, – 1), (3, 1), (6, 4), (7, 9), (13, 14)} || OF = {(- 3, – 2), (1, 2), (1, 4), (8, 9), (13, 15)} OR = {(-1, - 2), (2, 1), (4, 5), ( – 1, – 2), (10, 13)} | OG = {(- 4, - 5), (2, 3), (4, 5), (9, 8), (14, 10)} Calculator Check Answer MacBook AirThe strength of a correlation is indicated by: (A) its size of coefficient None of the answers both (A) and (b) (B) its sign (+ or -)