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Q: In a simple linear regression problem, the following sum of squares are produced: Σ(-)² = 200, Σ(y₁…
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- A neuroscientist is interested in testing the effects of environment on dendritic branching in the hippocampus (dendrites increase the receptivity of neurons and may be an important basis of cognition). To test this, he took one group of rats (n = 11) and housed them in an “enriched” environment (consisting of a large box with tunnels to run through, toys to play with, etc.) and then he took another group of rats (n = 11) and housed them in an “isolate” environment (rats were housed alone without any tunnels or toys). After 6 weeks, the number of dendritic spines in a particular region of the hippocampus from these rats was imaged and counted. The results are below. Did the different housing conditions have an effect on the number of dendrite branches? Solve using the steps in hypothesis testing. Enriched condition Isolate condition Mean number of dendrites 40 10 (Estimated) Standard Deviation 10 4 Question: Calculate the T statisticHarold is going to California over the Easter weekend and takes part in the Rock Festival of the people. He is an optimistic man and intends to sleep in a tent. He is worried about leaks in the tent, but to his great satisfaction, he came across an advertisement for material that the manufacturers claim reduces leakage in tents by spraying it on the outer layer of the tent. He was not convinced but found a study where the material was examined. In the study, leakage in five tents was measured. First, it was measured how much it leaked without the material too much and then how much it leaked after the material was sprayed on the outer layer in each tent. High numbers mean high leakage and low numbers low leakage. It can be assumed that measured leaks follow a normal distribution. The results can be seen below: Harold is also a big fan of R and he performed the following calculations in R: > x<-c(8.6,9.2,7.8,7.2,8.9) > y<-c(6.2,7.2,7.6,8.2,6.1) > mean(x)[1] 8.34 >…Discuss what G. E. P. Box might have meant when he wrote “All models are wrong but some are useful.”
- Placement Test Practice Problem 25question 1 how did u get the 1/3 and the 3log ?1) You run the following regression: TS = B+B MALE + B MEDU +ß FEDU¸+ u. i 0 1 i 2 i 3 i where: TS - pupil's test score at the end of primary school, MALE - a dummy variable indicating if a child is a male (MALE=1) and equal zero otherwise, MEDU - mother's number of years of education, FEDU - father's number of years of education. You can test if mother's education has the same effect on child's test scores as father's education by: O A. running two t tests for the two hypotheses: B₁=0 and ₁=0. 2 O B. running two t tests for the two hypotheses: O C. running an F test for the hypothesis O D. running an F test for the hypothesis =B 3 ₁= ₂=0 and B₂=0. 2 ₁=B₁₂=B3
- You are on placement in a GP practice which holds a nurse-led asthma clinic once a week. The nurse practitioner in charge of the clinic tells you that asthma affects around 11% of the Australian population, and results in around 40,000 hospital admissions each year. She also tells you that the common pharmacological treatments can have long-term side effects, so she is keen to promote holistic methods to assist patients in controlling their asthma. You are interested to know whether diet can have an effect on asthma, and decide to find out. Construct a searchable clinical question using the PICO formula, identifying the PICO elements clearly.A junior high social studies teacher finds that some of his students can easily remember the ideas he presents, yet others have trouble remembering information from one day to the next. He suspects that the students who have better memories for class material are those who are taking more complete notes in class. He collects students' notebooks one day and finds that students who are doing well on classroom assessments take a lot more notes than students who are doing poorly. (a) Classify the research as one of the following: Quantitative/descriptive Quantitative/correlational Quantitative/experimental Quantitative/quasi-experimental Qualitative Mixed methods, and then (b) Identify one or more conclusions that might reasonably be drawn from this study and, if relevant, one or more conclusions that cannot be drawn from the study.! X ! 2 4 8 10 ! Y ! 8 ! 5 ! 6 a) Draw a scatter diagram b) Find the equation of the regression line Y c) Use your answer to predict of Y, when X = 7 %3D
- 3. Find the the equation of the least squares regression line for the data as the linear model f(x) = ao + a₁x in the manner discussed in the textbook using the formula A = (XTX)-¹XTY. What are your values for ao and a₁?Hi. I got the answer to PART D of this question wrong even after asking an expert so please can you give it another go and help me with the solution to PART D of this question. Thank youI need help with these two problems. It invovles looking at this chart, and answering the porbability of that chart. Question 1 asks the probability of one ice core being selected that has a huge(high) level of nitrate and it also has a huge(high) level of D-D-T, D-D-D, and D-D-E. Question 2 asks the probability of one ice core being selected that has a huge(high) level of nitrate given a low level of D-D-T, D-D-D, and D-D-E. Please explain how you came up with your answers.