What does it mean when one of the two main effects is significant?
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- Early life corresponds to the first bacterial colonization of the digestive tract, creating a microbiome thought to play an important role in human development. What might be the effect of early exposure to antibiotics on children's development? One study followed 11,532 full-term babies all born in the county of Avon, United Kingdom, during 1991 and 1992. Exposures to antibiotics during infancy were recorded, along with measures of body mass at regular intervals over several years. The researchers found that antibiotic exposure during the first six months of life was associated with increased body mass later in childhood.A coffee shop owner offers two brands of coffee, Brand "A" and Brand "B". The proportion of clients that prefer Brand "A" is 60%. Recently, the price of Brand "A" went up. The proportion of clients that buy brand "A" among the first 15 customers that enter the shop after the change in price is an estimator of the current proportion of clients that prefer Brand "A". Assume that the change in price has no effect on the preference of the clients. Then the mean squared error (MSE) of the estimator is equal to: (Give an answer of the form x.xxx, i.e. with 3 significance digits) (HINT: Carefully read the definition of MSE in Chapter 10 of the text book.)You are looking at age of first marriage’s (independent variable) effect on the age of having a first child (dependent variable): You find that B0 = 2 and B1 = 1.2 Is the B0 useful in this case? Why or why not? For these variables, what does B1 mean in words?
- In an experimental study, it was noticed that people who eat more leafy, green vegetables tend to get better sleep than the general population. Researchers wonder whether the improved sleep might be caused by the minerals potassium and magnesium found in leafy, green vegetables. How could the researchers design an experiment to determine the effects of potassium and magnesium on sleep?thank you …Leo used an analog sensor to measure the temperature of his solar panels. After the experiment, he wants to process the data he obtained. Is he allowed to describe the data by using the measures of central tendency? No, because the data he gathered is qualitative in nature. Yes, because the data he gathered is quantitative in nature. No, because the data the gathered is quantitative in nature. Yes, because the data he gathered is qualitative in nature.
- Scientists at a pharmaceutical company want to compare their new drug to an existing one. Let's call the new drug A and the old drug B. In a random sample of 120 subjects who took drug A, 40% developed sever side effects. Whereas, in a random sample of 100 subjects who took drug B, 45% developed severe side effects. These scientists are interested to see if there is significant evidence that their new drug reduces severe side effects in patients the a = 0.05 significance level. What is the test statistic for this test? (P1-P2)-0 0.4-0.45 -0.748146 0.45(100)+0.4(120) 0.45(100)+0.4(120) 120+100 (뿌+뿌) 120+100 100 (P1-ê2)–0 0.4–0.45 = -0.747435 P141 , P242 +. 0.4(0.6) 0.45(0.56) 120 100 0.4–0.45 -0.748146 0.45(100)+0.4(120) 0.45(100)+0.4(120) 120+100 120+100 (부·뿌)(글 (P1-P2)-0 0.4-0.45 2 = -0.747435 P191 P292 0.4(0.6) 0.45(0.55) +. 120 100You have a theory: people who have a high income (X) are generally healthier (Y). You collect some data from local nursing homes and retirement homes and find no linear correlation between income and health. Of the 4 correlation mistakes we discussed in class, which one is the most likely here? Why? A supplements company conducted a study and found a strong positive relationship between use of its supplements and health. It advertised that it found a correlation coefficient of +1.25. What is wrong with this statement?2. I surveyed 150 adults in the U.S. and asked them how many hours of TV the watched on average per week. I then ran a regression of # of hours of TV on whether or not they were a college graduate (=1 if yes, =0 if no), their age in years, the number of children in their household, and whether or not they live a cold climate (=1 if latitude is greater than 41.2, =0 otherwise). The results fro the regression are shown in the table below. Estimate p-value College Graduate -0.8 0.003 Age 0.1 0.150 Number of Children 0.10 0.521 Cold Climate 1.8 0.047 Intercept -1.23 0.041 (a) What is the dependent variable in this regression? (b) What are the independent variable(s) in this regression? (c) What is the unit of analysis? (d) What is the sample size? (e) What is one binary variable used in this analysis? (f) What is one ratio variable used in this analysis? (g) What is the predicted number of TV hours watched by a 50 year old, colleg graduate, with no children at home who lives in Arizona…
- Two variables are said to interact when Select one: a. the effect of one variable differs across the levels of the other variable b. both variables equally influence a third variable c. both variables produce a change in the subject's score d. the two variables are differentially affected by a third variableThe relationship between United States unemployment and inflation rates during the Covid-19 pandemic. Background The covid-19 pandemic has led to higher unemployment rates in the United States than normal because many people were laid off jobs in response to the pandemic (Al-Fadly, 2020). It is important to analyze how such as sharp increase in unemployment affected inflation in relation to how unemployment have traditionally affected inflation. The overall relationship between unemployment and inflation has traditionally been an inverse one. It is argued that when unemployment rates are higher, the number of individuals who are looking for jobs usually becomes higher than the number of job positions that are available (Putnam & Azzarello, 2015). In such a situation, employers tend to pay lower wages because there is abundance of workers which naturally leads to a lower wage inflation. This study will examine the relationship between unemployment rates and inflation rate during…A researcher studied the relationship between the amount of carbohydrates (x) and the amount of salt (y) in different food products. sample of 36 food products yielded these calculations: r = -0.1245, ŷ=0.5545– 0.1636x According to the correlation, if a food contains more carbohydrates, is it likely to contain more salt or less salt? Why or why not?
