For each of the studies presented below: (1) Define the population parameter of interest to the researchers and (2) Estimate the population parameter defined in (1), with a point estimate.
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- 7.55 The following variables were recorded for several counties in Minnesota in 1977: y = average rent paid per acre of land with alfalfa X₁ = - average rent paid per acre for all land x₂ = average number of dairy cows per square mile x3 = proportion of farmland in pasture The data for 34 counties are given in Table 7.5 (Weisberg 1985, p. 162). Can rent for alfalfa land be predicted from the other three variables? (a) Find 3 and ². (b) Find , and ß using Sex and sx as in (7.46) and (7.47). (c) Find R² and R2.The toco toucan, the largest member of the toucan family, possesses the largest beak relative to body size of all birds. This exaggerated feature has received various interpretations, such as being a refined adaptation for feeding. However, the large surface area may also be an important mechanism for radiating heat (and hence cooling the bird) as outdoor temperature increases. Here are data for beak heat loss, as a percent of total body heat loss from all sources, at various temperatures in degrees Celsius. [Note: The numerical values in this problem have been modified for testing purposes.] Temperature (oC)(oC) 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Percent heat loss from beak 33 32 33 32 39 43 56 48 44 49 44 56 58 60 60 63 The equation of the least-squares regression line for predicting beak heat loss, as a percent of total body heat loss from all sources, from temperature is: (Use decimal notation. Enter the values of the intercept and slope rounded to two…1a. For the following data: X Y # siblings grown up with # own children 2 0 3 1 7 4 5 6 4 6 3 1 Draw the scatterplot (MUST SHOW WORK FOR THIS PROBLEM) Group of answer choices a. yes b. no 1b. Using the dataset given in problem 14, test the hypothesis that there is a significant positive relationship between the # of siblings an individual grows up with and the number of children they eventually have. Use α = .05. Which of the following accurately represents the null and alternative hypotheses? (MUST SHOW WORK FOR THIS PROBLEM) Group of answer choices a. H0: ρ ≤ 0, H1: ρ > 0 b. H0: ρ ≥ 0, H1: ρ…
- 1. A study compared the number of tree species in unlogged forest plots to similar plots logged 8 years earlier. Independent random samples of both logged and unlogged plots were analyzed and the number of tree species was recorded. Tables 1 and 2 present the Shapiro-Wilk normality test for both types of forest plots and the Independent Samples t-test results. Use the information presented in these tables to answer the questions. Table 1: Tests of Normality Tests of Normality Kolmogorov-Smirnov Shapiro-Wilk Forest Plot Statistic df Sig. Statistic df Sig. Tree_Species Logged .181 12 .200 .936 12 .444 Unlogged .110 14 .200 .945 14 .480 *. This is a lower bound of the true significance. a. Lilliefors Significance Correction Table 2: Independent Samples Test Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means 95% Confidence Interval of the Difference Mean Std. Error F Sig. t df Sig. (2-tailed) Difference Difference Lower Upper Equal variances…Mist (airborne droplets or aerosols) is generated when metal- removing fluids are used in machining operations to cool and lubricate the tool and workpiece. Mist generation is a concern to OSHA, which has recently lowered substantially the workplace standard. The article "Variables Affecting Mist Generaton from Metal Removal Fluids" (Lubrication Engr., 2002: 10-17) gave the accompanying data on x = fluid-flow velocity for a 5% soluble oil (cm/sec) and y = the extent of mist droplets having diameters smaller than 10 μm (mg/m³): x y 89 177 189 354 362 442 965 .40 .60 .48 .66 .61 .69 .99 a. The investigators performed a simple linear regres- sion analysis to relate the two variables. Does a scat- terplot of the data support this strategy? b. What proportion of observed variation in mist can be attributed to the simple linear regression relationship between velocity and mist? c. The investigators were particularly interested in the impact on mist of increasing velocity from 100 to 1000 (a…NW 6.12 CORPORATE SUSTAINABILITY OF CPA FIRMS. Corporate sustainability refers to business practices designed CORSUS around social and environmental considerations. Refer to the Business and Society (March 2011) study on the sustainability behaviors of CPA corporations, Exercise 2.23 (p. 59). Recall that the level of support for corporate sustainability (measured on a quantitative scale ranging from 0 to 160 points) was obtained for each in a sample of 992 senior managers at CPA firms. Higher point values indicate a higher level of support for sustainability. The accompanying StatCrunch printout gives a 99% confidence interval for the mean level of support for all senior managers at CPA firms. One sample T confidence interval: μ: Mean of variable 99% confidence interval results: Variable Sample Mean Std. Err. DF L. Limit U. Limit Support 67.75504 0.85314633 991 65.553241 69.95684 a. Locate the 99% confidence interval on the printout. b. Use the sample mean and standard deviation on the…
- 1. A study compared the number of tree species in unlogged forest plots to similar plots logged 8 years earlier. Independent random samples of both logged and unlogged plots were analyzed and the number of tree species was recorded. Tables 1 and 2 present the Shapiro-Wilk normality test for both types of forest plots and the Independent Samples t-test results. Use the information presented in these tables to answer the questions. Table 1: Tests of Normality Tests of Normality Kolmogorov-Smirnov Shapiro-Wilk Forest Plot Statistic df Sig. Statistic df Sig. Tree_Species Logged .181 12 .200 .936 12 .444 Unlogged .110 14 .200 .945 14 .480 *. This is a lower bound of the true significance. a. Lilliefors Significance Correction Table 2: Independent Samples Test Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means 95% Confidence Interval of the Difference Mean Std. Error F Sig. t df Sig. (2-tailed) Difference Difference Lower Upper Equal variances…A stock price is currently $40. It is known that at the end of 1 year it will be either $48or $32. The risk-free Interest rate is 5% per annum with continuous compounding. What is the value of a portfolio today with a strike price of $527 (use A-0.25) Hint: draw a tree