A scientist is interested in investigating the effect of organic fertilizers on the growth and yield of broccoli. He collected seven data and the findings are presented in Table Q2(b), which is obtained using Excel. Table Q2(b): Output Summary Regression Statistics Multiple R R Square Adjusted R Square Standard Error d 0.9632 0.9558 3.6199 Observations 7 Standard Coefficients Error t Stat P-value Intercept 37.2195 7.3757 5.0463 0.004 0.9027 0.0789 11.4414 8.93E-05 (i) Write down the regression equation and interpret the results. (ii) Find and interpret the value of d and coefficient of determination.
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- A regional distributor of NIKE shoes is in the process of analyzing the factors that influence thedemand for the NIKE brand. The distributor hired an economist to conduct a study on the demand for this product. The economist collected quarterly time series data from 1986Q1 to 1991Q4 on the following variables:SALES Sales of NIKE shoesRPDI Real personal disposal incomeCONF Consumer confidence indexD2 Dummy variable for quarter 2D3 Dummy variable for quarter 3D4 Dummy variable for quarter 4Ordinary Least Squares was applied using sales as the dependent variable and real personal disposal income, consumer confidence index, dummy variable for quarter 2, dummy variable for quarter 3, and dummy variable for quarter 4 as independent variables. The table below shows the OLS output.Model 1: OLS, using observations 1986:1-1991:4 (T = 24)Dependent variable: SALESCoefficient Std. Error t-ratio p-valueconst −139.452 61.8421 −2.255 0.0368 **RPDI 1.56286 0.438492 3.564 0.0022 ***CONF 0.256247…A regional distributor of NIKE shoes is in the process of analyzing the factors that influence thedemand for the NIKE brand. The distributor hired an economist to conduct a study on the demand for this product. The economist collected quarterly time series data from 1986Q1 to 1991Q4 on the following variables:SALES Sales of NIKE shoesRPDI Real personal disposal incomeCONF Consumer confidence indexD2 Dummy variable for quarter 2D3 Dummy variable for quarter 3D4 Dummy variable for quarter 4Ordinary Least Squares was applied using sales as the dependent variable and real personal disposal income, consumer confidence index, dummy variable for quarter 2, dummy variable for quarter 3, and dummy variable for quarter 4 as independent variables. The table below shows the OLS output.Model 1: OLS, using observations 1986:1-1991:4 (T = 24)Dependent variable: SALESCoefficient Std. Error t-ratio p-valueconst −139.452 61.8421 −2.255 0.0368 **RPDI 1.56286 0.438492 3.564 0.0022 ***CONF 0.256247…If Elliot collects data from a single sample and her dependent variable is assessed on a nominal scale, which of these difference tests would Elliot need to use to analyze her data? A. a single-sample t test B. a single-sample z test C. a between-subjects ANOVA D. a chi-square goodness-of-fit test
- Compare the two separate scatterplots. In particular, how do the associtation compare between women with pets vs. women without pets? Does one group have more variation in systolic blood pressure than the other? If so, for which group? Does systolic blood pressure seem higher for common ages between the two groups? If so, for which group?Are these two assumptions met or rejected for the data set shown in the attached image: There must be a linear relationship between (a) the criterion/outcome and each of the predictor variables, and (b) the criterion and predictor variables collectively. There must be homoscedasticity of residuals (equal error variances).Consider a cohort study to compare the mortality rate of myocardial infarction (MI) in men with sedentary work (exposed group) to men with physically active work (unexposed). If in the exposed, there were 36,000 person (man) years of observation and 126 deaths whereas the unexposed had 24,000 man-years of observation and 44 deaths. Compute the following a) Mortality rate in each cohort? b) What is the relative risk of dying, comparing these 2 groups? c) What is the attributable risk of sedentary work? d) What is the attributable benefit of physical activity? e) If we assume that MI is associated with the mortality in this cohort (causality), what proportion of the disease in the higher group is potentially preventable?
- The data for lab 1-2 was created based upon the paper by the STARSproject and modified by Dr. Hole. Fast food meals are typically high incalories, fat, sodium and cholesterol, which are known to increase the riskof obesity and diabetes. Researchers found that unhealthy ingredients,large portion size, low cost, and convenience make fast food cause obesity.The dataset provided by Dr. Hole is derived from a very large consumersurvey conducted by market researchers at Milward Brown. The survey wascarried out using a CATI (computer Aided Telephone Interviewing)methodology. Random digit telephone numbers were dialed and theperson answering was asked “Do you buy fast food nowadays?” Only thoseresponding “Yes” were then surveyed. In class, we already examined thedatasets, found results, and drew tables to answer several questions.Dataset: Lab 1-2.savRequirements: For your 1-2 assignment, please provide scholarly tables and your findings/thoughts with reasonable justification for the following…In building an arena, steel bars with a mean ultimate tensile strength of 400 Megapascal (MPa) with a variance of 81 MPa were delivered by the manufactured. The project engineer tested 50 steel bars and found out that the mean ultimate tensile strength is 390 MPa. The decision for the extension of the contract with the manufacturer depends on the engineer. Test the hypothesis whether there is no significant difference between the two means using a two-tailed with a=0.01Here is a dataset containing plant growth measurements of plants grown in solutions of commonly-found chemicals in roadway runoff.Phragmites australis, a fast-growing non-native grass common to roadsides and disturbed wetlands of Tidewater Virginia, was grown in a greenhouse and watered with either: Distilled water (control); A weak petroleum solution (representing standard roadway runoff); Sodium chloride solution; Magnesium chloride solution; De-icing brine (50% sodium chloride and 50% magnesium chloride).Twenty grass preparations were used for each solution, and total growth (in cm) was recorded after watering every other day for 40 days.-Perform the correct statistical test to determine the p-value.-Report your answer rounded to four decimal places.-You should use formulas, functions, and the Data Analysis ToolPak in MS Excel to avoid additive rounding errors. Here are some useful functions: =t.test(array1,array2,tails,type) Produces a p-value for any…
- Suppose that, as part of a research methods class, Bailey was asked to write a summary of a research paper on the topic of the effects of oil contamination in soil on seed germination rates. Identify the explanatory and the response variables.Floyd Distributors, Inc., provides a variety of auto parts to small local garages. Floyd purchases parts from manufacturers according to the EOQ model and then ships the parts from a regional warehouse direct to its customers. For a particular type of muffler, Floyd's EOQ analysis recommends orders with Q* = 20 to satisfy an annual demand of 180 mufflers. Floyd's has 250 working days per year, and the lead time averages 15 days.Note: Use Appendix B to identify the areas for the standard normal distribution. What is the reorder point if Floyd assumes a constant demand rate? If required, round your answer up to the nearest whole number. r = fill in the blank 1 Suppose that an analysis of Floyd's muffler demand shows that the lead-time demand follows a normal probability distribution with µ = 12 and σ = 2.2. If Floyd's management can tolerate one stock-out per year, what is the revised reorder point? If required, round your answer up to the nearest whole number. r = fill in the blank…The director of marketing at Vanguard Corporation believes that sales of the company's Bright Side laundry detergent (S) are related to Vanguard's own advertising expenditures (A), as well as the combined advertising expenditures of its three biggest rival detergents (R).The marketing director collects 36 weekly observations on S, A, and R . Vanguard's marketing director is comfortable using parameter estimates that are statistically significant at the 10 percent level or better. Give the specific statistical tool that can be used to this problem.