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In a regression problem with 2 input variables, we construct a classification tree with 4 terminal nodes. This means(multiple choices)
There was either four splits in only one of the input variables or one split in each of the input variable. |
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There was a split in one of the input variables and no splits in the other. |
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There was a split in each input variable. |
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There was either a split in each input variable or three splits in only one of the input variables. |
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There were 2 splits in each of the input variables. |
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- A dairy farmer thinks that the average weight gain of his cows depends on two factors: the type of grain that they are fed and the type of grass that they are fed. The dairy farmer has four different types of grain from which to choose and three different types of grass from which to choose. He would like to determine if there is a particular combination of grain and grass that would lead to the greatest weight gain on average for his cows. He randomly selects three one-year-old cows and assigns them to each of the possible combinations of grain and grass. After one year he records the weight gain for each cow (in pounds) with the following results. Is there sufficient evidence to conclude that there is a significant difference in the average weight gains among the cows for the different types of grain? Cow Weight Gain (Pounds) Grass A Grass B Grass B Grain A 163163 287287 305305 267267 304304 325325 198198 348348 172172 Grain B 338338 291291 223223 286286 168168…Researchers constructed two test sheets, each sheet including 20 photos of the faces of dog–owner pairs taken at a dog lovers' field festival. The 20 sets of dog–owner pairs on the two sheets were equivalent with respect to breed, diversity of appearance, and gender of owners. On the first sheet, the dogs were matched with their owners, while on the second sheet, the dogs and owners were deliberately mismatched. Three experiments were conducted, and in all experiments, subjects were asked to "choose the set of dog–owner pairs that resemble each other, Sheet 1 or Sheet 2," and were simply told the aim of the research was a "survey on dog–owner relationships." In the first experiment, the original sheets were shown to subjects; in the second experiment, just the "mouth region" of the owners was blacked out in all the pictures on both sheets; in the third experiment, just the "eye region" of the owners was blacked out. Subjects were assigned at random to the three experimental groups, and…You have two groups of researchers getting data on a new drug for Alzheimer’s patients with working memory loss. Both researchers give the same memory task performed using the Wisconsin Card Sorting Task and count the number of correct answers from 15 patients each.The results of Researcher A are: 60, 62, 70, 55, 78, 53, 78, 53, 70, 66, 62, 79, 51, 65, 69The results of Researcher B are: 68, 75, 71, 65, 58, 74, 68, 72, 60, 59, 72, 65, 70, 72, 69Which set of scores has a lower SEM? You should be able to do this just by looking at the raw scores, but of course you can do the math if it helps you answer the question.
- A group of 250 people, if it is known that their average weekly wage is 324.48 dinars. Of them, 7 were earning 12.2 dinars an hour, 21 of them earned 544.32 dinars a week, 58 of them earned 48.96 dinars a day, 9 of them earned 6.19 dinars an hour, and 18 of them earned 74.48 dinars a day. . Knowing that they work 7 hours a day, and 6 days a week, find the following 1- The average wage for the rest of the people in the week ۲- The average wage for the remaining people per hourIt has been discovered that a sub-species of animal, the Spotted Manumar, has 4 different blood types: M, N, P and MN. Type MN is uncommon: Only 10% of them have this type. The remaining 90% of the animals are equally split among the 3 other types. On another continent, there is another sub-species of the Manumar. The Furry Manumar also has the same 4 blood types and the researchers wonder if the proportions of bloodtypes matches that of the Spotted ones. If we hypothesized that the Furry ones did match the Spotted ones, and 200 Furry Manumars were to be collected at random, you'd expect the number that have bloodtype MN to be 1 and the number to have bloodtype M to beSeveral epidemiologists conducted a cohort study of the effect of mercury exposure on the development of brain cancer. Subjects were followed for ten years. There were a total of 150,000 people in the study. Among the subjects, 76,000 were exposed to mercury and the rest were not. 52,000 of those exposed to mercury developed brain cancer, and only 1,200 of those unexposed to mercury developed brain cancer. Please create a two-by-two table. Calculate the relative risk and interpret it in a sentence. Calculate the attributable risk and interpret. Calculate the percent attributable risk and interpret. Assume that 30% of people in Rhode Island are exposed to mercury, calculate and interpret the population attributable risk and calculate and interpret the percent population attributable risk.
- What is a three-way table? Can you give me an example?A social and personality psychologist thinks that creativity differs by personality traits, rather than the traditional view that it is a cognitive process. Specifically, this psychologist thinks that introverts are more creative than extraverts. The researcher gives a personality test to a group of 16 university students and then separates them based on the assessment results into 2 groups: the extraverts and the introverts. The participants are then asked to write a short story which is rated on creativity by a well-known author. The creativity scores range from 0 to 20 on an interval scale, where higher scores indicate greater creativity. The results are shown in Table 2. Using the 0.05 alpha level, are introverts more creative than extroverts? Use all of the steps of hypothesis testing. extrovert introvert 8 18 7 17 11 10 3 14 5 16 8 15 7 19 4 12A shoe company wants to test an updated model of a running shoe on its wear after one month of running. Which of the following describes a matched pairs design? They recruit 50 people who run on a regular basis to participate in their study. They will have the runners wear the shoes when they run for two months. After two O The subjects are numbered 1-50, and these numbers are put into a random number generator. The first 25 random numbers, ignoring repeats, represent the subjects assigned to the new model group. The remaining 25 subjects will wear the original model. months, the wear on the shoes will be determined using the depth of the tread and flexibility of the toe box. The wear between the new model and the original model will then be compared. The subjects' names are written on equal-sized slips of paper and placed into a hat. A researcher then reaches in and pulls out 25 slips of paper. These subjects are assigned to the new model group. The remaining 25 subjects will be…
- A dairy farmer thinks that the average weight gain of his cows depends on two factors: the type of grain that they are fed and the type of grass that they are fed. The dairy farmer has four different types of grain from which to choose and three different types of grass from which to choose. He would like to determine if there is a particular combination of grain and grass that would lead to the greatest weight gain on average for his cows. He randomly selects three one-year-old cows and assigns them to each of the possible combinations of grain and grass. After one year he records the weight gain for each cow (in pounds) with the following results. Is there sufficient evidence to conclude that there is a significant difference in the average weight gains among the cows for the different types of grain? Cow Weight Gain (Pounds) Grass A Grass B Grass B Grain A 359359 327327 232232 277277 250250 163163 191191 304304 216216 Grain B 331331 348348 176176 318318 205205…Explain how a within-subjects design avoids the problems created by individual differences and how a between-subjects design avoids the problems created by order effects.In 2018, a consumer goods giant had more than 20 brands with more than $1 billion in annual sales. How does the company create so many successful consumer products? They effectively invests in research and development to understand what consumers want. One method used to determine consumer preferences is called conjoint analysis. Conjoint analysis allows a company to ascertain the utility that a respondent in the conjoint study places on a design of a given product. The higher the utility, the more valuable a respondent finds the design. Suppose we have conducted a conjoint study and have the following estimated utilities (higher is preferred) for each of three different designs for a new whitening toothpaste. Respondent Utilities Design A Design B Design C 1 24.6 34.4 28.8 2 31.4 31.4 33.9 3 31.8 20.2 27.8 4 15.4 26.4 25.1 5 20.7 18.3 18.2 6 41.0 34.0 44.8 7 27.1 22.5 27.3 8 20.2 21.8 27.9 9 31.6 29.4 31.3 10 24.4 29.0 29.3 At the 0.05 level of…