If you calculate the sample covariance between two variables X and Y equals one, then there must be a strong linear relationship between the variables* True False
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- One difference between ANOVA and regression is: a) ANOVA is for statistical inference, whereas regression is not b) a regression line accounts for variability, whereas variability is not a concept in ANOVA c) in regression, we estimate a slope, whereas in ANOVA, we estimate mean differences d) ANOVA bases its inferences on samples, whereas regression bases its inferences on populations e) ANOVA and regression are not different at all, they are exactly the same f) ANOVA features p-values, whereas regression does notA researcher wants to examine different online teaching environments by collecting data on 20 students. Half of the students had synchronous class while the other half had asynchronous class. For the students who had the synchronous class, they scored an average of 80 on the final exam with a sample variance of 10. For the students who had the asynchronous class, they scored an average of 78 on the final exam with a sample variance of 18. Determine if there is a significant difference between the average final exam score between the two groups of students. Use a significance level of 5%. What is the null hypothesis? Group of answer choices: A.) The average final exam score for the asynchronous class is higher than the synchronous class. B.) There is a difference in the average final exam score between the asynchronous class and synchronous class. C.) The average final exam score for the asynchronous class is lower than the synchronous class. D.) There is no difference in the…If the number of pairs n = 5, coefficient of rank correlation R = - 0.5 then D will be ?
- An Economics instructor assigns a class to investigate factors associated with the gross domestic product (GDP) of nations. Each student examines a different factor (such as life expectancy, literacy rate, etc.) for a few countries and reports to the class. Apparently, some of the classmates do not understand Statistics very well because several of their conclusions are incorrect. Explain the mistakes in comments a and b below. a) Explain the mistake in the statement "There was a very strong correlation of 1.22 between Life Expectancy and GDP" Choose the correct answer below O A. A correlation cannot be greater than 1. O B. A correlation that is greater than 1 implies that the variables are not quantitative, so the correlation cannot be interpreted. OC. A correlation that is close to 1 implies a very weak correlation. The correlation must be close to 10 for it to be interpreted as a very strong correlation. O D. A correlation that is greater than 1 implies a weak correlation, not a…Find the variance of the data4. If no values are repeated, then a data set doesn't have a mode. True False
- How to get rid of co-variances double head arrows among the demographic variables in semplot function with R-lavaan package?Consider the data set (6, - 2, 7, 5, 7, 1. 7, -3, -5). (a) Find the first quartile. (b) Find the third quartile. (c) Consider the data set (6, - 2, 7, 5, 7. 1, 7, - 3, - 5, - 7} obtained by adding one more data point to the original data set. Find the first and third quartiles of this data set (a) The first quartile is.Suppose that, for one semester, you can collect the following data on a random sample of college juniors and seniors for each class taken: a standardised final exam score, percentage of lectures attended, a dummy variable indicating whether the class is within the student’s major, cumulative grade point average prior to the start of the semester, and SAT score. If you pool all of the data and use OLS, what are you assuming about unobserved student characteristics that affect performance and attendance rate and What roles do SAT score and prior GPA play in this regard?
- One-way or two-way refers to the number of independent variables (IV's) in your Analysis of Variance test. One-way has one independent variable (either discrete or continuous) and two-way has two independent variables (either discrete or continuous). For example, a one-way Analysis of Variance could have one IV (brand of cereal) and a two-way Analysis of Variance has two IV's (brand of cereal, calories). O True O False/Skip/1 A beverage company has two bottling plants in different parts of the world. To insure uniformity in their product, the variances of the weights of the bottles at the two plants should be equal. But Stephanie, the company's vice president of quality assurance, suspects that the variance at bottling plant A is more than the variance at bottling plant B. To test her suspicions, Stephanie samples 37 bottles from bottling plant A and 33 bottles from bottling plant B, with the following results (in ounces): Bottling Plant A: 12.4, 12.4, 13.4, 14.3, 12.7, 12.7, 13.7, 12.4, 12.8, 12.4, 12.9, 12.7, 12.8, 13.3, 13.8, 12.7, 12.4, 11.9, 12.9, 13, 13.1, 12.4, 12.7, 12.6, 12.5, 13.3, 12.2, 13.3, 12.8, 12.7, 13.2, 13.1, 11.7, 13, 12.3, 13.1, 12.4 Bottling Plant B: 12.9, 12, 13.4, 12.4, 12.4, 12.9, 12.7, 12.1, 11.4, 13.1, 14.1, 12.5, 12.7, 11.5, 12.3, 12.7, 13.7, 12.6, 13.9, 12.7, 12, 12.5, 11.7, 13.6, 11.4, 13.6, 14, 12, 11.5, 12, 11.7, 13, 11.8 Perform a hypothesis test using a 3% level of…3) Over repeated samples, the sample mean is considered a random variable. Is this statement TRUE or FALSE? Select one: True False 4) If the sample correlation coefficient has a value different from zero, this automatically means that the correlation in the population is also different from zero. Is this statement correct? Explain.
