116. Given the following data obtain the yield when the rainfall is 29 inches : Rainfall (inches) The coefficient of correlation between yield and rainfall is 0.8, Yield (per acre) 40 Mean 27 aX+SA S.D. 3
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- Ocean currents are important in studies of climate change, as well as ecology studies of dispersal of plankton. Drift bottles are used to study ocean currents in the Pacific near Hawaii, the Solomon Islands, New Guinea, and other islands. Let x represent the number of days to recovery of a drift bottle after release and y represent the distance from point of release to point of recovery in km/100. The following data are representative of one study using drift bottles to study ocean currents. x days y km/100 71 76 31 92 203 14.2 19.6 5.8 11.2 35.9 (a) Verify that Ex = 473, Ey = 86.7, Ex = 61,451, Ey = 2033.69, Exy = 10995.7, and r 0.93868. %3D %3D %3D %3D Σχ 1 473 ΣΥ| 86.7 Ex2 61451 Ey2 2033.69 Exy 10995.7 r0.93868 (b) Use a 1% level of significance to test the claim p > 0. (Use 2 decimal places.) t 4.72 critical t 4.54 Conclusion Reject the null hypothesis, there is sufficient evidence that p > 0. O Reject the null hypothesis, there is insufficient evidence that p > 0. Fail to reject…Suppose the correlation coefficient r=0.16 Find:a. The coefficient of determination r2= (round to 3 decimal places)b. The percentage of explained variation = % (round to 1 decimal place)c. The percentage of unexplained variation = % (round to 1 decimal place)The authors of a paper presented a correlation analysis to investigate the relationship between maximal lactate level x and muscular endurance y. The accompanying data was read from a plot in the paper. X 390 740 760 y 3.90 r 3.90 5.00 5.30 4.10 3.60 6.20 OH₂: P = 0 Ha: P 0 1,465 1,470 1,495 2,190 t = P-value = 6.98 7.45 4.85 7.70 4.55 6.70 8.80 OH₂: P = 0 H₂: P = 0 Compute the value of the sample correlation coefficient, r. (Round your answer to four decimal places.) Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) State the conclusion in the problem context. O Fail to reject Ho. A positive correlation exists between maximum lactate level and muscular endurance. Reject Ho. A positive correlation exists between maximum lactate level and muscular endurance. O Fail to reject Ho. A positive correlation does not exist between maximum lactate level and muscular endurance. O Reject Ho. A…
- Q 4: (Using the Q. 3 data) If the cost incurred is OMR 20 Million, what will be the volume of revenue?The data below are the shoot lengths (cm.) of Robusta coffee seedlings as affected by different periods of storage. Find out if there are significant differences in the effects of different periods of storage on the shoot lengths. (Note: CRD experiment) Solve for the; a. F computed b. Coefficient of Variation (CV), C. Standard error of the treatment means (S), d. standard error of difference between treatments (Sd) e. Make a Decision Treatments Replications 11 11 P1 10.1 9.2 9.5 P2 9.5 9.3 8.5 P3 8.7 9.2 7.5 P4 6.7 6.2 5.0Please clearly state the formulas used and the complete solution. Thank you!
- Find the following for this data on the length of an eruption of a geyser at Yellowstone to the amount of time until the next eruption. Geyser Eruption Data Length of Eruption (in minutes) Time until next Eruption (in minutes) 3 4.54 2.53.55 2 68 89 83 62 75 9257 Step 1 Plot the data points. Be sure to: Title your graph Label each axis including units Use appropriate scales Step 2 Identify the correlation. Step 3 Sketch the linc of best fit. Step 4 Identify two points on the line. Step 6 Write an equation using slope and the y-intercept. Show all work. Step 7 Use your line and its equation to predict how long until the next eruption if the geyser only erupted for 1 minute. Show all work. Step 5 is: "find slope of line of best fit. Show all work."Please show all work!For the following example indicate the type of data involved using the following: A = nominal data B = ordinal data C = interval data 1. Number of patients with coronary pathology in nursing homes in the U.SFind R, R^2 and P Value
- llustration 21.14. Calculate the coefficient of contingency from the following data relating social status and intelligence: Social Status Dull Brilliant Average 35 Lower Middle Middle 22 23 38 70 32 Upper Middle 60 20 20Q1. A study was conducted to investigate the relationship between premature birth and mental development at 12 months. The infant's birth weight was used as an index of prematurity. At age 12 months, the child's mental development was recorded. The results are shown below (the weights are in pounds): Birth 4 6 7 8 Weight(x) Developmental 85 Quotients(y) 88 87 94 96 Summary: n = 5, £x=30, £x² = 190, Ey= 450, Ey² = 40590, Exy = 2728 . a. Find the least square prediction equation, y on x. b. Obtain a 95% confidence interval for the average value of y when x 6.5 (i.e., a C.I. for E(y|x= 6.5)). c. Obtain the coefficient of correlation (r) and interpret the result. d. Test the hypothesis that H, :p= 0 vs. H, : p0. Use a =0.05.1. What is the value of the slope of the best fit trends line for the relationship between TDD and the depth of the active layer. 2. If α = 0.05, is this slope statistically significant? (yes/no) 3. Compute a new variable that states the depth of the active layer in inches. The conversion formula is: (depth in inches) = (depth in centimetres) / 2.54 What is the mean depth of the active layer, measured in inches?