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- 13) Identify the terms in the master equation that we used, which is given beiow, in our linear least-squares fitting procedureSuppose they conducted another set of experiment with increased sample size and saw that the three caffeine concentrations resulted to a different mean adenine concentration. Table below showed summary of Tukey’s HSD. Summarize the result of Tukey’s HSD in Table 2 and provide synthesis, given 5% level of significance. Table 1. Matrix of HSD’s test result for the experiment Treatments Mean difference p - value 0mM – 5mM 2.6283 <0.001 *** 0mM – 10mM 3.9383 0.0112 * 5mM – 10mM 1.3100 0.2458 Table 2. Summary of HSD’s result Treatment Mean SD Summary (in letter or in dot form) 0mM 6.0233 1.1508026 5mM 3.3950 1.8064855 10mM 2.0850 0.9490153 Synthesis: ________________________________________________________ ________________________________________________________ ________________________________________________________ ________________________________________________________The MAKSI FEB UI program is considering buying a copier machine among 5 (five) types, namely the FC1, FC2, FC3, FC4 and FC5 types, where each type has different efficiency in terms of the speed of the number of pages (sheets) copied in one minute. Six staff members conducted an experiment to run each type of copier. The following data shows the number of copied pages (sheets) that can be produced in one minute according to the type of copier, 1 trial, and according to the staff assigned to run each type of copier: FC1 FC2 FC3 FC4 FC5 Staff 1 60 50 63 60 64 Staff 2 56 55 65 58 60 Staff 3 54 56 65 56 58 Staff 4 56 57 67 65 60 Staff 5 54 56 65 60 60 Staff 6 55 52 58 60 55 Some of the results of the calculation of the sum of squares (sum-square) and the average squared (mean square) required for the ANOVA test are provided in the following table: Source of Variation SS Df MS Fstat FTable CopierMachine 333.33 ……… ……… ……… ……… Staff ……….. ……… ……… ……… ……… Error 129.47 ……… ……… Total 532.67 …………
- You are asked to evaluate 'Introduction to the Matrix' from the statistical data of thefollowing seven (7) 'Introduction to the Matrix' course grade distributions: Class A Class B Class C Class D Class E Class F Class G Mean 71.8 75.2 73.8 82.2 79.6 78.0 73.7 Median 79.3 78.5 80.1 83.4 81.4 77.6 75.9 Mode 80.1 78.5 80.5 83.0 81.0 78.0 70.0 Std Dev 18.6 15.9 15.5 5.1 11.4 7.0 15.1 Students 24 23 14 17 29 18 13 Which 3 'Introduction to the Matrix' classes would you most likely suspectto be possible outliers from these 7 classes?True or False: In a model with an interaction variable, we can drop the interaction term if its pvalue>.05Determine the heteroscedasticity in a scatter plot?
- Red Wine and Weight LossResveratrol, a compound in grapes and red wine, has been shown to promote weight loss in rodents and now in a primate.1 Lemurs fed a resveratrol supplement for four weeks had decreased food intake, increased metabolic rate, and a reduction in seasonal body-mass gain compared to a control group. Suppose a hypothetical study is done for a different primate species, with one group given a resveratrol supplement and the other group given a placebo. We wish to see if there is evidence that resveratrol increases the mean metabolism rate for this species. (This exercise presents hypothetical data. We will see the results from the actual study later in this chapter.) (a) State the null and alternative hypotheses.Let group 1 be the species taking a resveratrol supplement and let group 2 be the species taking a placebo.There are 6 linearly independent vectors in R5. O True FalseGiven the values: n= 20, xbar= 5, ybar= 15, SSy = 24, SSxx = 10, and SSyy = 52 what is the least squares prediction equation for the simple linear model? O y_hat = 3 + 2.4x O y_hat = 52 + 25x O y = Bo + B1x + 8 O y hat = 12.4 + 36x
- Consider the following population model for household consumption: cons = a + b1 * inc+ b2 * educ+ b3 * hhsize + u where cons is consumption, inc is income, educ is the education level of household head, hhsize is the size of a household. Suppose a researcher estimates the model and gets the predicted value, cons_hat, and then runs a regression of cons_hat on educ, inc, and hhsize. Which of the following choice is correct and please explain why. A) be certain that R^2 = 1 B) be certain that R^2 = 0 C) be certain that R^2 is less than 1 but greater than 0. D) not be certainCopepods are tiny crustaceans that are an essential link in the estuarine food web. Marine scientists designed an experiment to determine whether dietary lipid Diatoms Bacteria Macroalgae 429 292 289 (fat) content is important in the population growth of a copepod. Independent random samples of copepods were placed in containers containing lipid-rich diatoms, bacteria, or leafy macroalgae. There were 12 containers total with four replicates per diet. Five gravid (egg-bearing) females were placed in each container. After 14 days, the number of copepods in each container were as given to the right. At the 5% significance level, do the data provide sufficient evidence to conclude that a difference exists in mean number of copepods among the three different diets? 465 303 311 447 295 495 329 Click here to view page 1 of the F-distribution. Click here to view page 2 of the F-distribution. Click here to view page 3 of the F-distribution. Click here to view page 4 of the F-distribution.…5