1. If the coefficient of correlation (r) between two varlables is zero, how might a scatter diagram of these varlable appear?
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- . A survey was conducted in respect of marital status and success in examination. Out of 2,000 persons who appeared for an examination, 80% of them were boys, and the rest were girls. Among 300 married boys 140 were successful. 1100 boys were successful among unmarried boys. In respect of 100 married girls 40 were successful, 200 unmarried girls were successful. Construct two separate nine-square tables, and find out the Yule's Coefficient of Association to discuss the association between marita! and passing of examination,Once a month a local theater group stages a live theaterproduction. The group is able to sell enough tickets sothat the theater is almost full each month. However, thenumber of adult tickets and children’s tickets that are soldvary depending on the play being performed. For these productions, which statement best describes the correla-tion between the number of adult tickets and the number of children’s tickets sold?A) The correlation will be exactly 1.B) The correlation will be negative.C) The correlation will be 0.D) The correlation will be positive and less than 1.E) The correlation cannot be described based on theinformation given.Suppose that we have a data set of college students. This data set includes whether each student graduated with honors and whether the same student went to graduate schools to pursue a PhD degree. Assume that P({Graduate w/ honors} ∩ {Pursusing PhD}) = P({Graduate w/ honors}) x P({Pursuing PhD}) Pursu PhD Not Pursu PhD Total Grad w/ honors x1 x2 0.25 Grad w/o honors x3 x4 0.75 Total 0.20 0.80 What is (x1 + x4) - (x2 + x3) 0.20 0.25 0.30 0.35 What is P({Graduate w/ honors} | {Pursuing PhD})? 0.20 0.25 0.50 0.75
- One professor who teaches statistics gave students one homework assignment. He asked students to find a two-variable data set and compute the Pearson correlation coefficient. One student found a data set: one variable is students' midterm test score in an introductory microeconomics class and total observations are 45 students; while the other one variable is also students' midterm test score in another introductory microeconomics class and total observations are 57 students. Both of these two classes were taught by the same instructor in spring 2018. Does this student's data set make sense? Why or why not? Discuss and explain your reasons. You must provide your statistical analysis and reasons.A particular cookie company has a double-feature box of cookies. These boxes come with two types of cookies; oatmeal raisin and chocolate-chip. However, the proportion of cookies of each type varies. A data analyst working for the company wonders if there is a tendency for the boxes to have more of one type of cookie than the other. In order to investigate, he selects 72 boxes of the double-feature oatmeal raisin/choc-chip cookies and counts the number of each type of cookie. He finds out that, in his sample of 72 boxes, the proportion of chocolate chip cookies is 0.22. What is the standard deviation of the sampling proportion for the proportion of chocolate chip cookies? Note: 1- Round your final answer to 3 decimal places. Enter your final answer with 3 decimal places. 2-If standard deviation cannot be calculated, standard error is created in its place. Your Answer: AnswerA researcher found that counties with a high rate of passport ownership also have low rates of obesity, and counties with low rates of passport ownership have high rates of obesity. This is an example of what kind of relationship? Positive Negative Spurious Intervening
- What measures of fit are typically used to assess binary dependent variableregression models?2) For each of the scatterplots below, CIRCLE the words that most correctly describe the corresponding plots related to type (linear or non-linear), correlation (positive, negative, none), and strength (weak, moderate, strong) a) Circle the best answers for i),ii) and i) i) Linear OR non-linear ii)Positive OR negative OR neither iii)Strong OR moderate Or weak b) Circle the best answers for i),ii) and iii) i)Linear OR non-linear ii)Positive OR negative OR neither iii)Strong OR Moderate Or weakA nutritionist collects data from 25 popular breakfast cereals. For each cereal, the number of calories per serving is plotted on the x-axis against the number of milligrams of sodium on the y-axis. The value of r for the resulting scatterplot is 0.83. How would the value of the correlation coefficient, r, change if sodium was plotted on the x-axis and calories plotted on the y-axis? The value of r would increase. The value of r would not change. The value of r would change to –0.83. The value of r could increase or decrease, depending of the strength of the new relationship.
- 5. Ten competitors in a beauty contest are ranked by three judges in the following order. Judge I: 1 6 5 10 3 2 4 9 7 8 CS Scanned with CamScannerA medical researcher conducted an observational study to understand the recovery rate forpatients infected with the COVID-19 in Malaysia. The researcher contacted thirteen COVID-19 survivors and interviewed them regarding their recovery experience. Two of the questionsasked are the recovery period (in days) and the number of days that have passed since receivingthe second dose of COVID-19 vaccine prior to infection. The recorded data is summarized as i) Identify the dependent variable in the study. ii) Calculate the correlation coefficient and interpret its value. iii) Estimate the regression model parameters and write the estimated linear regressionmodel. iv) Based on your answer in iii), predict the recovery period if a person is infected withCOVID-19 after 200 days of receiving second dose of COVID-19 vaccine. v) Table 1 represents the incomplete ANOVA table of the study. Find the values of P, Q,R and S. vi) Test the linearity between the two variables at 4% significance level.I've created a Correlation Matrix in Microsoft Excel. I need to identify 4 pairs of variables that have the highest correlation. How would I do this? The matrix is attached to this question.
