4) MULTIPLE CHOICE. If two variables, x and y, have a very strong linear relationship, then there is evidence that x causes a change in y there is evidence that y causes a change in x there might not be any causal relationship between x and y None of these alternatives is correct.
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- Question 6 .75. A data set consists of the following ordered pairs: {(1, 17), (3, 13), (4, 11), (7, 5), (8, 3)} What is the equation of the linear regression model? y = -2x + 17 y = -2x + 19 y = -4x + 19 y = -4x + 17Forty-two percent of all registered voters in a particular state prefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among Latino registered voters in the state, 53% prefer life in prison without parole over the death penalty for a person convicted of first degree murder. 37.8% of all citizens in the state are Latino.In this problem, define variables as the following. • C = Registered voters preferring life in prison without parole over the death penalty for a person convicted of first degree murder. • L = Latino citizens Suppose that one registered voter is randomly selected.Are L and C independent events? Show why or why not. A)Yes, because P(C ) equals P(C|L). B)Yes, because P(C ) does not equal P(C AND L). C)No, because P(C ) equals P(C|L). D)No, because P(C ) does not equal P(C|L).No, because P(C ) equals P(C AND L).
- The weakest variables are V1 and V18.Here is data on the flow of students through a school. 70% of freshmen pass and become sophomores, 20% fail and repeat as freshmen, 10% drop out80% of sophomores pass and become juniors, 10% fail and repeat as sophomores, 10% drop out80% of juniors pass and become seniors, 10% fail and repeat as juniors, 10% drop out82% of seniors pass and graduate, 8% fail and repeat as seniors, 10% drop out Treat this as a 6-state Markov chain with "graduated" and "dropped out" being absorbing states. Use an appropriate matrix tool to answer the following questions. (Give your answers correct to 3 decimal places.) (a) What fraction of freshmen graduate within 4 years? (b) What fraction of freshmen graduate within 5 years? (c) What fraction of freshmen eventually graduate? (d) What fraction of juniors eventually graduate? (e) Assume that a student enters the school as a senior. What is the expected value for the number of years that person will spend in school before either graduating or dropping out?…When two variables covary, the a. variables are related to each other b. variables tend to change together have something in common with each other c. variables are causally related d. relationship between the variables is spurious
- A researcher's survey results indicate that about 50% of 12th graders consume less than 300g of vegetables at lunch, about 40% consume 300-600g, and only 10% of them consume more than 600g. A high school conducted a survey of student diets and health information, and reported data about 12th graders' vegetable intake at lunch is reported in the table photo. If researchers wants to find out whether the high school has the same proportions of 12th graders in the vegetable intake categories as reported by the survey, what would the appropiate test statistic be to use and why. Choosing between an ANOVA, Chi -Square independence tests, Chi Square Goodness of Fit, and One sample proportion test?3. Given the following regression: Wage = 10 + 1.2 x male + 2 x educ + 0.15 x (male x educ) + u The dependent variable is hourly wage. There are three independent variables: a binary variable indicating male, years of education, and an interaction between male and educ. (a) Plot the relationship between wage and education for males and females separately. Put wage on the vertical axis and education on the horizontal axis. (hint: see Panel (b) of Figure 8.8 in the textbook; You may draw the graph on software or on a piece of paper and paste the snapshot below.) (b) According to the regression function above, (1) which gender has a higher base wage (for people with no education)? (2) which gender has higher return to education? (3) what's effect of an additional year of education on wage for females? (4) what's the effect of an additional year of education on wage for males? On * Accessibility: InvestigateIn multiple regression testing of Ho: B1 = B2 = B3 = ... = BK = %3D %3D O at a = 0.05, a p-value of 0.08, would give an indication that: O the null hypothesis should not be rejected O all three independent variables have a slope of zero O the null hypothesis should be rejected O None of the Choices O there is linear relationship between y and any of the three independent variables I3D
- Does a high value of r2 allow us to conclude that two variables are causally related? Explain. - A high value of r2 can only allow us to conclude that two variables are causally related in linear relationships, but not in nonlinear relationships. - Yes. Regression or correlation analysis always allows us to conclude that two variables are causally related. - A high value of r2 can only allow us to conclude that two variables are causally related in nonlinear relationships, but not in linear relationships. - No. Regression or correlation analysis can never allow us to conclude that two variables are causally related. - Yes. Since r2 is the percentage of the total sum of squares that can be explained by using the estimated regression equation, a high value of r2 allows us to conclude that two variables are causally related.A researcher conducts a survey examining eating and sleeping behavior as well as academic performance for a group of elementary school children. The results of the survey indicate that the children who eat a more nutritious breakfast tend to have better grades than the children who have a breakfast low in nutrition. However, the research suspects that the children's parents may be responsible for this relationship. Specifically, the better-educated parents probably encourage their children to eat better food and work harder in school compared to parents with less education. If the researcher is correct, this is an example of the_ O A. criterion problem O B. directionality problem O C.third-variable problem D. reversal problem Reset Selection 7,821 MAR etv A A O w 4 F7 F8 F9 F10 F11 F12 F2 & 3 4 5 7 9. %3D E YIs there a link between dark chocolate and weight loss when compared to milk chocolate? A nutritionist gathers 60 people, selected at random, then randomly assigns half of the group to eat a single dark chocolate bar after dinner each night and the other half to eat a single milk chocolate bar after dinner each night for 6 months. Everyone is to keep track of the other food they eat in an app provided. The nutritionist then compares each person’s weight after the 6 months to their weight before eating the different chocolates accounting for the other calories consumed. 12) What type of study does this describe? a) Survey b) Observational study c) Experimental study