The following results are from a regression where the dependent variable is GRADUATION RATE and the independent variables are % OF CLASSES UNDER 20, % OF CLASSES OF 50 OR MORE, STUDENT/FACULTY RATIO, ACCEPTANCE RATE, 1ST YEAR STUDENTS IN TOP 10% OF HS CLASS. *see below* Below is the regression of % OF CLASSES UNDER 20 on the other independent variables. *see below* a) Calculate the VIF for % OF CLASSES UNDER 20. b) Based on the VIF, do you think that multicollinearity is a problem? Explain.
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- Joan’s Nursery specializes in custom-designed landscaping for residential areas. The estimated labour cost associated with a particular landscaping proposal is based on the number of planting of trees, shrubs, and so on to be used for the project. For cost-estimating purposes, managers use two hours of labour time for the planting of a medium-sized tree. Actual times from a sample of 10 planting during the past month follow (times in hours). 1.7 1.5 2.6 2.2 2.4 2.3 2.6 3.0 1.4 2.3 Test to see whether the mean tree-planting time differs from two hours. Hyp: Dec Rule: Calculations: Conclusions:Department of Agriculture is concerned about the number of acres of farmland being withdrawn from farming. The department would like to propose new legislation to prevent this but wants to show the legislature what would happen if it does not act. Drew Johnson, the department’s statistician, regresses the number of acres used for farming in the state on time. Johnson finds the following: Model Summary Model R R Square Adjusted R Square Std. Error of the Estimate 1 .943a .890 .795 3.2875 a. Predictors: (Constant), Number of Years ANOVAb Model Sum of Squares df Mean Square F Sig. 1 Regression 1378.458 1 1378.458 141.149 .000a Residual 478.567 49 9.766 Total 1857.025 50 a. Predictors: (Constant), Number of Years b. Dependent Variable: Acres (in Millions) Coefficientsa Model Unstandardized Coefficients Standardized Coefficients t Sig. B Std.…Joan's Nursery specializes in custom-designed landscaping for residential areas. The estimated labor cost associated with a particular landscaping proposal is based on the number of plantings of trees, shrubs, and so on to be used for the project. For cost-estimating purposes, managers use two hours of labor time for the planting of a medium-sized tree. Actual times from a sample of 10 plantings during the past month follow (times in hours). 1.8 1.4 2.7 2.1 2.3 2.3 2.6 3.0 1.5 2.3 (c) Compute the sample standard deviation. (Round your answer to three decimal places.) (d) What is the test statistic? (Round your answer to three decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value = (e) What is your conclusion? Do not reject H0. We can conclude that the mean tree-planting time differs from two hours. There is a reason to change from the two hours for cost estimating purposes. Reject H0. We can conclude that the mean…
- Joan's Nursery specializes in custom-designed landscaping for residential areas. The estimated labor cost associated with a particular landscaping proposal is based on the number of plantings of trees, shrubs, and so on to be used for the project. For cost-estimating purposes, managers use two hours of labor time for the planting of a medium-sized tree. Actual times from a sample of 10 plantings during the past month follow (times in hours). 1.6 1.4 2.7 2.3 2.5 2.3 2.6 3.0 1.3 2.3 With a 0.05 level of significance, test to see whether the mean tree-planting time differs from two hours. (a) State the null and alternative hypotheses. H0: μ > 2,Ha: μ ≤ 2 H0: μ ≤ 2, Ha: μ > 2 H0: μ = 2, Ha: μ ≠ 2 H0: μ < 2, Ha: μ ≥ 2 H0: μ ≥ 2, Ha: μ < 2 (b) Compute the sample mean. (c) Compute the sample standard deviation. (Round your answer to three decimal places.) (d) What is the test statistic? (Round your answer to three decimal places.) What is the…Joan's Nursery specializes in custom-designed landscaping for residential areas. The estimated labor cost associated with a particular landscaping proposal is based on the number of plantings of trees, shrubs, and so on to be used for the project. For cost-estimating purposes, managers use two hours of labor time for the planting of a medium-sized tree. Actual times from a sample of 10 plantings during the past month follow (times in hours). 1.8 1.6 2.5 2.1 2.4 2.3 2.6 3.0 1.4 2.3 With a 0.05 level of significance, test to see whether the mean tree-planting time differs from two hours. (A)State the null and alternative hypotheses. A. H0: μ ≥ 2 Ha: μ < 2 B. H0: μ > 2 Ha: μ ≤ 2 C. H0: μ = 2 Ha: μ ≠ 2 D. H0: μ ≤ 2 Ha: μ > 2 E. H0: μ < 2 Ha: μ ≥ 2 (B)Compute the sample mean. _______________ (C)Compute the sample standard deviation. (Round your answer to three…Joan's Nursery specializes in custom-designed landscaping for residential areas. The estimated labor cost associated with a particular landscaping proposal is based on the number of plantings of trees, shrubs, and so on to be used for the project. For cost-estimating purposes, managers use two hours of labor time for the planting of a medium-sized tree. Actual times from a sample of 10 plantings during the past month follow (times in hours). 1.8 1.6 2.5 2.1 2.4 2.3 2.6 3.0 1.4 2.3 With a 0.05 level of significance, test to see whether the mean tree-planting time differs from two hours. What is the test statistic? (Round your answer to three decimal places.) _____________________. What is the p-value? (Round your answer to four decimal places.) p-value =__________________. (e)What is your conclusion?(multiple choice) A. Do not reject H0. We can conclude that the mean tree-planting time differs from two hours. There is a reason to change from the two hours for cost…
- GreenLawns provides a lawn fertilizing and weed control service. The company is adding a special aeration treatment as a low-cost extra service option, which it hopes will help attract new customers. Management is planning to promote this new service in two media: radio and direct-mail advertising. A media budget of $4,000 is available for this promotional campaign. Based on past experience in promoting its other services, GreenLawns has obtained the following estimate of the relationship between sales and the amount spent on promotion in these two media: S = -2R2 − 12M2 − 9RM + 20R + 39M, Where S = total sales in thousands of dollars R = thousands of dollars spent on radio advertising M = thousands of dollars spent on direct-mail advertising GreenLawns would like to develop a promotional strategy that will lead to maximum sales subject to the restriction provided by the media budget. (a) What is the value of sales if $3,000 is spent on radio advertising and $1,000 is…A restaurant chain specializing in ice cream deserts contacted you to characterize the market for new franchise locations in Upstate NY. The firm is located in the Southwestern US, and has excellent experience there. However, they are opening a few test locations in Buffalo, Syracuse and Albany in the very near future, and have hired you, an Upstate NY statistical consultant, to collect and analyze the results. These restaurants follow a standard blueprint for design, operation, and location. They run a 2,150 sq foot facility in wealthier suburban areas, and usually locate in new plazas near other specialty restaurants that tend not to compete with them (Starbucks, Panera, Fridays, and similar restaurants.) Existing Southwestern locations take in an average of $82,000 a week in sales, with a highly reliable standard deviation of $5,200. Before deciding on their regional distribution strategy, the firm is opening three test restaurants, one in each city. They want you to examine the…Construct a hypothesis addressing which potato piece will have the greatest surface-area-to-volume ratio. Explain. Table 1a Why Are Cells Small Length (l) (cm) Width (w) (cm) Height (h) (cm) Size of Cross Section (h x w) (cm) Distance Traveled by IKI from Potato Edge (cm) Area of White Region (l x w) (cm) 2.50 2.50 2.50 6.25 cm 0.20 cm 2.64 cm 2.00 2.00 1.00 2.00cm 0.30 cm 1.87 cm 1.50 1.50 1.50 2.25 cm 0.50 cm 1.50 cm 1.00 1.00 1.00 1.00 cm 0.40 0.60 cm 2.00 0.50 0.50 0.25 cm 0.20 cm 0.15 cm 0.50 0.50 0.50 0.25 cm 0.30 cm 0.10 cm
- A clinic developed a diet to impact body mass (fat and muscle). A nutritionist in the clinic hypothesizes that heavier individuals on the diet will predict less body fat. Below are the data for a sample of clients from the clinic. Weight is measured in kilograms (kg) and percentage body fat is estimated through skinfold measurement. What can the nutritionist conclude with α = 0.01? Weight Fat 90896760947483781016867 2928252430263026312430 a) What is the appropriate statistic? Compute the statistic selected in a) b Obtain/compute the appropriate values to make a decision about H0. critical value= test statistic= c) Compute the corresponding effect size(s) and indicate magnitude(s).If not appropriate, input and/or select "na" below.Joan's Nursery specializes in custom-designed landscaping for residential areas. The estimated labor cost associated with a particular landscaping proposal is based on the number of plantings of trees, shrubs, and so on to be used for the project. For cost-estimating purposes, managers use two hours of labor time for the plant- ing of a medium-sized tree. Actual times from a sample of 10 plantings during the past month follow (times in hours).2.1 2.2 1.7 1.6 2.3 3.1 1.5 2.6 2.4 2.2 With a .05 level of significance, test to see whether the mean tree-planting time differs from two hours. a. State the null and alternative hypotheses. b. Compute the sample mean. c. Compute the sample standard deviation. d. What is the p-value? e. What is your conclusion?An agronomist undertook an experiment to investigate the factors that potato harvest. In his research, agronomist decided to divide the farm into 30 half hectare plots and apply varies level of fertilizer. Potato was then planted and the harvest at the end of the season was recorded. Fertilizer(Kg) Harvest (tons) 210 43.5 220 40.0 230 48.0 240 65.0 250 80.0 260 85.0 270 95.0 280 80.0 290 97.3 Note: No excel ANOVA output allowed. Students need to show all the steps in calculations. You are required to; Find the simple regression line and interpret the coefficients. Find the coefficient of determination and interpret its value. Does the model appear to be a useful tool in predicting the potato harvest? If so, predict the harvest when 250KG of fertilizer is applied. If not explain why not.