40 45 40 41 44 y 182 214 210 194 218 A) 0.644 B) 0.826 90.814 D) 0.774 10) Test the significance of the correlation coefficient r at a = 0.05 for the data below. 10) X values 53 60 68 78 83 Y values 81 86 91 97 104 A) Reject p 0 because 12.47 > 3.18 9 Accept p 0 because 12.47 < 2.78 B) Reject p D) Accept p 0 because 12.15> 2.78 0 because 12.15< 3.18
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- The following data show the number of class sessions missed during a semester of SOC221 and the final grade for a sample of 8 students selected at random. Number of Sessions Missed Final Grade (x) (y) 0 96 2 88 12 68 6 91 8…(a) Is a sample correlation coefficient ρ = 0.83 significant at the α = 0.01 level based on a sample size of n = 4 data pairs? What about n = 14 data pairs? (Select all that apply.) Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 4 and α = 0.01. No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 14 and α = 0.01. No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 4 and α = 0.01. No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 14 and α = 0.01. Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 14 and α = 0.01. No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n =…A sample of men and women who had passed their driver's test either the first time or the second time were surveyed, with the following results: Results of the driving testGender First time Second timeMen 126 211Women 135 178a) Do these data suggest that there is a relationship between gender and the passing of their driver’s test from which the present sample was drawn? Let alpha=.05
- Consider a regression analysis with n = 47 and three potential independent variables. Suppose that one of the independent variables has a correlation of 0.95 with the dependent variable. Does this imply that this independent variable will have a very large Student’s t statistic in the regression analysis with all three predictor variables?Suppose the random variables X and Y are inde lent and identically distributed. Let Z =aX +Y. If the correlation coefficient between X and Z is1/3 , then what is the value of the constant a ?. A study is conducted on the relationship of the number of absences (x) and the grades (y) of 15 students in BC212. Using r at 0.05 level of significance and the hypothesis that there is no significant relationship between absences and grades of the students in BC212, determine the relationship using the following data.r.05 = - 0.514Number of Absencesx Grades in BC212y122338614551219 908580758065709580807592898065
- You are testing the null hypothesis that there is no relationship between two variables, X and Y. From your sample of n=22, you determine that SSR=60 and SSE=20. d. Compute the correlation coefficient by first computing r2 and assuming that b1 is negative. (Round to four decimal places as needed.)4) A medical researcher is interested in determining if there is a relationship between adults over 50 who exercise regularly and low, moderate, and high blood pressure. A random sample of 236 adults over 50 is selected and the results are given below. Test the claim that regular exercise and low, moderate, and high blood pressure are independent. Use alpha= 0.01 Blood pressure: Reg exercise: low 35, moderate 62, high 25 No reg. Exercise: low 21, moderate 65, high 28 Compute the coefficient of correlation by using the table below showing the grades of 12 learners on 2 tests in Math (X) and Science (Y) by the use of the following: a.) Spearman’s Formula; and b.) Rank-Difference Method. Student Test X Test Y 1 73 70 2 83 84 3 89 94 4 66 72 5 73 68 6 92 90 7 80 87 8 83 92 9 73 76 10 61 66 11 63 64 12 78 76
- Even a very small effect can be significant if the sample is large enough. Suppose, for example, that a researcher obtains a correlation (computed from the raw data) of r = 0.60 for a sample of n = 10 participants. a. Is this sample sufficient to conclude that a significant correlation exists in the population? Use a two-tailed test with α = .05. In your response, be sure to specify the critical value for r. b. If the sample had n = 25 participants, is the correlation significant? Again, use a two-tailed test with α = .05. In your response, be sure to specify the critical value for r.The authors of this study report a Pearson correlation coefficient estimate of r = 0.23 with a p-value of <0.01. Interpret.Use the data corresponding to measurements of brain volume (measured in cm3 )and IQ. Based on the data, could we say that the correlation between these 2 variables is different from 0? (The question refers to the correlation on the population, ie. perform a hypothesis test with alpha=0.05) Data: IQ VOL 96 1005 89 963 87 1035 87 1027 101 1281 103 1272 103 1051 96 1079 127 1034 126 1070 101 1173 96 1079 93 1067 88 1104 94 1347 85 1439 97 1029 114 1100 113 1204 124 1160