Myhome/ 14F-STATS101A-2 / Week 3 / Quiz # 1 Due Monday Oct. 20, 2014 @ 9:00 AM Control PanelQuestion 1Not yetansweredPoints out of 1.00Flag questionQuestion 2Not yetansweredPoints out of 1.00Flag questionA researcher wants to predict annual income from the years of experience on the job. She finds the coefficient ofcorrelation between these two variables to be +0.60. He collects this data on a random sample of 200 employeesworking in a company with 2000 employees.Given that there are no major outliers, what is the best answer?Select one:a. 36% of the variance in annual income can be explained by years of experience on the job.b. 60% of the variance in annual income can be explained by years of experience on the job.c. 36% of the variance in years of experience on the job can be explained by annual income.d. 36% of the variance in annual income is caused the variance by years of experience on the job.A researcher is interested in predicting attitude toward life from self concepts. He gives a random sample of adults asurvey with 40 questions for measuring self concept and attitude toward life. Range of scores on both variable isbetween zero to one hundred. What is the best way of checking for linearity assumption?Select one:a. Draw the plot of standardized residuals vs the predicted scores resulting from a liner model for predicatin of selfconcept from attitude toward lifeb. Draw the plot of residuals vs the predicted scores resulting from a liner model for predicatin of attitude toward lifefrom self concept.c. Draw the plot of standardized residuals vs the predicted scores resulting from a liner model for predicatin ofattitude toward life from self conceptd. Draw the plot of residuals vs the predicted scores resulting from a liner model for predicatin of self concept fromattitude toward life.https://www.coursehero.com/file/10143886/Quiz-1-Due-Monday-Oct/This study resource was shared viaCourseHero.comQuestion 3Not yetansweredPoints out of 1.00Flag questionQuestion 4Not yetansweredPoints out of 1.00Flag questionThe following question is given on a final statistics exam. A researcher wants to examine the relationship betweenpolitical affiliation (democrat vs. republican) and attitude toward spending more money on the after-school programs.This data is collected on a random sample of 500 adults in the 30-40 age range. Attitude toward spending more moneyon after-school programs is measured through a questionnaire with a minimum score of zero and a maximum score of100. Which of the following methods should we use.Method one. Conduct a two-sample test of the mean and testH0: μ(Democrat) - μ (Republican) = 0Method two. Conduct simple linear regression using political affiliation as predictor and attitude as the outcome variableand testH0: β(1) = 0Select one:a. I would recommend method two.b. I would not recommend method two because political affiliation is a qualitative variable.c. Both methods are correct and will yield the same results.d. I would recommend method one.Given the following scenarios, what is the best answer?Scenario A: There are 30 bothers and sisters and in all cases the age of the brother is half of the age of the sister.Scenario B: SAT quantitative and verbal scores for 30 students.Scenario C: Height and GPA for 30 studentsSelect one:a. The mean of the error is minimum for scenario C and maximum for scenario A.b. Mean error is minimum for scenario A and maximum for scenario Cc. Mean error is equal in all of the three scenarios.https://www.coursehero.com/file/10143886/Quiz-1-Due-Monday-Oct/This study resource was shared viaCourseHero.comQuestion 5Not yetansweredPoints out of 1.00Flag questionQuestion 6Not yetansweredPoints out of 1.00Flag questiond. We cannot estimate the mean of the error because we do not know if we have outliers or not.Given the following scenarios, in which case is mean square residual minimum?Scenario one. For a sample of 50 brothers and 50 sisters, the age of the brother is equal to the age of sister plus two.Scenario two. For twenty students midterm scores on algebra ranged from 60 to 80, They all received a score of 70 onthe final algebra exam.Scenario three. In a study it was shown that 36% of the variation in students' attitude toward a math course (scale of 0-100) could be explained by their score on the final exam (scale of 0-100).Select one:a. We cannot answer the above question without knowing the coefficient of correlation for the three scenarios.b. Scenario one has the lowest variance of error or S^2(e) = ∑(Yi - Y^)^2/N -2c. Scenario two has the lowest variance of error or S^2(e) = ∑(Yi - Y^)^2/N -2.d. Scenario three has the lowest variance of error or S^2(e) = ∑(Yi - Y^)^2/N -2.Pam wants to predict the final scores from the midterm scores for 20 students. After the final is over, she has thefollowing information for all twenty studentsMidterm scorepredicted final scoreActual final scoreresidual or error = actual final minus the predicted finalWhat do you expect the sum of the residuals to be?P.S. Residual or (e) is the same thing as residual or Yi - Y^Select one:a. The sum of residuals depends of how far the actual scores are from the predicted ones.b. The sum of the residuals will be zerohttps://www.coursehero.com/file/10143886/Quiz-1-Due-Monday-Oct/This study resource was shared viaCourseHero.comQuestion 7Not yetansweredPoints out of 1.00Flag questionQuestion 8Not yetansweredPoints out of 1.00Flag questionc. We need the original data to determine the sum of the residualsd. The sum of residuals will depend on the coefficinet of corelation, the larger the correlation the smaller the sum ofthe residuals.Andy is working on a data set collected on a random sample of 300 university assistant professors. He is interested inthe relationship between gender and annual salary. He codes gender as (female = 0, male = 1). He conducts simplelinear regression predicting annual salary from gender and he reports the following.y^ = 70 + 3 X (70 and 3 stand for 70,000 and 3,000 dollars)P value for the test of ß1 = 0 is equal to 0.78Given the above information, what is the best conclusion?Select one:a. 70K is SS residual, 3K is SS regression. That is why we find a small F value and a large P value and we concludethat there is no relationship between gender and annual salary of assistant professors.b. 70 K is SS total, 3 K is SS regression, and that is why P = 0.78 meaning that there is no relationship betweengender and assistant