4) r = 0.843, n = A) Critical values: r = +0.878, significant linear correlation B) Critical values: r = 0.950, significant linear correlation C) Critical values: r = +0.878, no significant linear correlation D) Critical values: r = +0.950, no significant linear correlation
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- If one explanatory Variable is correlated with the error term, is there any problem of heterosdasticity in the model?Which of the independent variables retains the strongest association with the number of children a respondent has when all other variables in the model are controlled? What is that association? Which has the weakest when other variables are controlled?A sociologist wants to investigate the question, "Is there a relationship between texting during class and grade-point-average (GPA) among high school seniors in a large district?" Which study design is most appropriate? Before the semester starts, randomly select 40 seniors from each high school who do not text during class. Assign 20 to the texting treatment group (text three or more times during every class meeting) and 20 to the control group (no texting during class). At the end of the semester, obtain each student’s GPA from the appropriate admissions and records office. Compare the GPA of students who routinely text during class to the GPA of students who do not text during class. Before the semester starts, randomly select 40 seniors from each high school who do not text during class. Assign 20 to the texting treatment group (text three or more times during every class meeting) and 20 to the control group (no texting during class). At the end of the semester,…
- What type of association exists for these data?Compute the value of the correlation coefficient between time spend for studyingand current CGPA and describe the relationship.Consider a capital market with only two risky assets A and B. Their standard deviations are 1 and 2, respectively. There is no risk-free asset. When the correlation coefficient ρAB = 0, construct a portfolio, whose variance is strictly less than 1. [Hint: you may want to try the portfolio that puts more weight on the security with the lower standard deviation.]
- The director of an obesity clinic in a large northwestern city believes that drinking soft drinks contribute to obesity in children. To determine whether a relationship exists between these two variables, she conducts the following pilot study. Eight- 12-year-old male volunteers are randomly selected from children attending a local junior high school. Parents of the children are asked to monitor the number of soft drinks consumed by their child over a one week period. The children are weighed at the end of the week and their weights converted into body mass index (BMI) values. The BMI is a common index used to measure obesity and takes into account both height and weight. An individual is considered obese if they have a BMI value 30. The following data or collected: child. # of soft drinks consumed BMI 1 3 20 2 1 18 3…The sample correlation between two variables X and Y is calculated to be 0.43. Which statement below is correct? a. The proportion of the variance in Y that is explained by the linear relationship between X and Y is 0.57. b.Since the sample correlation coefficient suggests a moderate positive linear association then there cannot be a nonlinear relationship between X and Y. c.The proportion of the variance in X that is explained by the linear relationship between X and Y is 0.43. d. Even though the sample correlation coefficient suggests a moderate positive linear association it may be the case that there is a nonlinear relationship between X and Y.The sample correlation between two variables X and Y is calculated to be 0.43. Which statement below is correct? a.The proportion of the variance in Y that is explained by the linear relationship between X and Y is 0.57. b.Since the sample correlation coefficient suggests a moderate positive linear association then there cannot be a nonlinear relationship between X and Y. c.The proportion of the variance in X that is explained by the linear relationship between X and Y is 0.43. d.Even though the sample correlation coefficient suggests a moderate positive linear association it may be the case that there is a nonlinear relationship between X and Y.