In a trivariate distribution the simple coefficient of correlation are as follows, if r2 = 0.85, r = 0.67 and r2 = 0.70 calculate the coefficient of partial correlation r12.3
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- Caffeine (mg) Sleep (hours) 60 8 0 8 220 5.5 100 7 80 6.5 For caffeine intake, the mean is 92 and the standard deviation is 80.75. For sleep, the mean is 7 and the standard deviation is 1.06. Calculate the linear correlation coefficient r by hand for this set of paired data values using r=(z_x-z_y)/(n-1). Show your work. Is the value of r statistically significant? Use Pearson's r table to justify your answer. Does the value for r and the statistical significance indicate a positive linear correlation, a negative linear correlation, or no linear correlation between the variables caffeine intake and hours of sleep? What does this mean in context?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 4 5 6 7 8 9 10 11 12 OA.-0.707 OB. +0.707 OC.-0.707, +0.707 OD. +0.754 Critical Value of r 0.950 0.878 0.811 0.754 0.707 0.666 0.632 0.602 0.576Perform rank correlation analysis on the following data set: x y -5 1.9 -4 0.9 -3.25 0.7 -2.55 -0.5 -1.85 -1.2 -0.9 -1.7 5.5511151231258E-17 0.7 0.8 1.5 1.55 1.6 2.35 -0.1 3.3 0.8 4.1 -1.1 5.1 -0.9 5.8 -0.8 6.7 0.7 What is the rank correlation coefficient? (Round to three decimal places.) What is the critical rho value at a 0.01 significance? Do we have correlation? Yes, the rank correlation coefficient is smaller (in absolute value) than the critical rho value. No, the rank correlation coefficient is larger (in absolute value) than the critical rho value. No, the rank correlation coefficient is smaller (in absolute value) than the critical rho value. Yes, the rank correlation coefficient is larger (in absolute value) than the critical rho value.
- The table below lists the mean systolic blood pressure during surgery (mmHg) along with blood loss (ml). Use this table to answer the next three (3) questions . BP Blood Loss 95274 90 170 Strength of Relationship 125 352 105317 weak moderate 110 171 105 150 90 245 90 120 none none 1/4 * 1/2; 3/4 13. Does the correlation coefficient indicate a strong linear correlation ? ( A) Yes ( B) No 14. Approximately what blood loss would you predict for a blood pressure reading of 140 ( A) 319 (B) 363 ( C) 401 ( D) 635 15. Do these data provide sufficient evidence , at the 0.05 level of significance , to indicate that the two variables are indeed correlated ?Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using α=0.05. Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities? Lemon Imports: 228 265 359 480 532 Crash Fatality Rates: 15.9 15.6 15.4 15.3 14.9 The linear correlation coefficient r is? The test statistic t is? The P-value is?The following zero order correlation coefficients are given : r12 = 0.5 r13 = 0.6 r23 =.7 %3D Calculate the multiple correlation coefficients R1,23, R2.13 and R3.12
- The multiple correlation (R) is: The correlation between predicted and observed scores. The sum of the simple r's. The highest simple r. Always between 0 and 1 (inclusive).In a trivariate distribution the simple coefficient of correlation are as follows if r12 = 0.76, rı3= 0.75 and r²3= 0.71 calculate the coefficient of partial correlation r 12.3For 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. -0.707
- Which number below is representative of the largest correlation? r = -0.75 r = .05 r = -0.45 r = 0.65The blood pressure measurements of a single patient were taken by twelve different medical students and the results are listed below. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between systolic measurements and diastolic measurements? systolic (x) diastolic (y) 137 133 139 119 122 121 127 132 130 143 141 137 95 93 100 80 88 80 82 84 81 98 103 94 С. Но: р#0 D. Ho: p=0 H1:p=0 H1:p#0 Construct a scatterplot. Choose the correct graph below. O A. ОВ. C. D. Ay 160- Ay 160- 160- 160- 120- 120- 120- 120- 80- 80- 80- 80- O. 40- 40- 40- 40- X X 0- 0- O 40 80 120 160 0- 0- 40 80 120 160 40 80 120 160 40 80 120 160 The linear correlation coefficient r is (Round to three decimal places as needed.) The P-value is (Round to three decimal places as needed.) Because the P-value is than the significance level 0.05, there sufficient evidence to support the…Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot and find the value of the linear correlation coefficient r. Using a = 0.05, is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities? Lemon Imports Crash Fatality Rate Construct a scatterplot. Choose the correct graph below. O A. ^) 17- 16- 15+ 14+ 0 0 8 Q O O O 200 400 600 Q 232 15.9 OB. Ay 17- 16- 15+ 14+ 0 -o q 264 15.6 0 200 400 600 Q ✔ 357 15.5 481 15.3 C O C. A) 17+ 16- 15- 14+ 534 14.9 O -0 0 200 400 The linear correlation coefficient r is. (Round to three decimal places as needed.) There sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates. Do the results suggest that imported lemons cause car fatalities? O A.…