What is the percentage of variation in academic achievement accounted for by playing puzzle games?
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Marivic is interested in the effect of playing puzzle games on academic achievement. She devised a scale that measures how often an individual plays puzzle games such as Sudoku, and uses student GPA has a measure of academic achievement. She finds that the correlation between the two variables is 0.40 and has a regression coefficient of 0.25. What is the percentage of variation in academic achievement accounted for by playing puzzle games?
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- A researchers measured the shoe the shoe size and reading ability of a large group of children he found that as shoe size increases so does reading ability what does his analyst showAn educational researcher decided to predict the college GPA of entering students based on their high school GPA and the number of books they have read in the past year. Interpret the residual for a student with a College GPA equal to 3.00, a high school (HS) GPA equal to 2.87 and who has read 16 books in the past year. College GPA = 1.07 + 0.178(HS) GPA+1.05 books a) The student performed better than expected. b) The student performed exactly as expected. c) The student performed worse than expected. d) Cannot be determined from the given information.Yvonne is a good student, but at times she doesn't get enough sleep. She hypothesizes that when she gets more sleep she does better on tests. To test her hypothesis, she tracked how she did on : number of tests, based on how many hours of sleep she got on the night previous. Is there a significant relationship between hours of sleep and test scores?
- In the 1970s, one million college-bound students were surveyed and asked to compare themselves to their peers. Some of the key findings of the survey were as follows: 70% of the students rated themselves as above average in leadership ability, while only 2% rated themselves as below average in this regard. With respect to athletic skills, 60% of the students rated their skills as above the median and only 6% of students rated themselves as below the median. . 60% of the students rated themselves in the top 10% in terms of their ability to get along with others, while 25% of the students felt that they were in the top 1% in terms of this interpersonal skill. Required: What type of cognitive bias reveals itself in the data mentioned above? How might this cognitive bias adversely influence a manager’s planning, controlling, and decision-making activities? What steps could managers do?In the 1970s, one million college-bound students were surveyed and asked to compare themselves to their peers. Some of the key findings of the survey were as follows: a. 70% of the students rated themselves as above average in leadership ability, while only 2% rated themselves as below average in this regard. b. With respect to athletic skills, 60% of the students rated their skills as above the median and only 6% of students rated themselves as below the median. c. 60% of the students rated themselves in the top 10% in terms of their ability to get along with others, while 25% of the students felt that they were in the top 1% in terms of this interpersonal skill. Required: What type of cognitive bias reveals itself in the data mentioned above? How might this cognitive bias adversely influence a manager’s planning, controlling, and decision-making activities? What steps could managers take to reduce the possibility that this cognitive bias would adversely influence their actions?The Scholastic Aptitude Test (or SAT) is a standardized college entrance test that is used by colleges and universities as a means for making admission decisions. The critical reading and mathematics components of the SAT are reported on a scale from 200 to 800. Several universities believe these scores are strong predictors of an incoming student’s potential success, and they use these scores as important inputs when making admission decisions on potential freshman. The tile RugglesCollege contains freshman year GPA and the critical reading and mathematics SAT scores for a random sample of 200 students who recently completed their freshman year at Ruggles College. Develop an estimated multiple regression equation that includes critical reading and mathematics SAT scores as independent variables. How much variation in freshman GPA is explained by this model? Test whether each of the regression parameters β0, β1, and β2, is equal to zero at a 0.05 level of significance. What are the correct interpretations of the estimated regression parameters? Are these interpretations reasonable? Using the multiple linear regression model you developed in part (a), what is the predicted freshman GPA of Bobby Engle, a student who has been admitted to Ruggles College with a 660 SAT score on critical reading and at a 630 SAT score on mathematics? The Ruggles College Director of Admissions believes that the relationship between a student’s scores on the critical reading component of the SAT and the student’s freshman GPA varies with the student’s score on the mathematics component of the SAT. Develop an estimated multiple regression equation that includes critical reading and mathematics SAT scores and their interaction as independent variables. How much variation in freshman GPA is explained by this model? Test whether each of the regression parameters β0, β1, β2, and β3 is equal to zero at a 0.05 level of significance. What are the correct interpretations of the estimated regression parameters? Do these results support the conjecture made by the Ruggles College Director of Admissions? Do you prefer the estimated regression model developed in part (a) or part (c)? Explain. What other factors could be included in the model as independent variables?
- A test was given to a group of students. The grades and gender are summarized below A B C Total Male 10 6 18 34 Female 3 20 8 31 Total 13 26 26 65 If one student is chosen at random from those who took the test,Find the probability that the student got a 'A' GIVEN they are male.The Human Resources Manager for Optilytics LLC is evaluating applications for the position of Senior Data Scientist. The file OptilyticsLLC presents summary data of the applicants for the position. a. Use a PivotTable in Excel to create a joint probability table showing the probabilities associated with a randomly selected applicants sex and highest degree achieved. Use this joint probability table to answer the questions below. b. What are the marginal probabilities? What do they tell you about the probabilities associated with the sex of applicants and highest degree completed by applicants? c. If the applicant is female, what is the probability that the highest degree completed by the applicant is a PhD? d. If the highest degree completed by the applicant is a bachelors degree, what is the probability that the applicant is male? e. What is the probability that a randomly selected applicant will be a male whose highest completed degree is a PhD?A teacher will pick one student at random from 25 for the lead in a play what is the probability of a student Joe of winning.
- First year student is wondering if there is any reason why one should get an education because he thinks there is no difference in earnings between the two. But Gilbert and Aaron think education has an impact on how much one earns. Gilbert and Aaron then decided to collect data from 10 people on the number of years they had spent in school and their monthly income. The following is the data they collected. ID Income Years of schooling1 3,000 142 4,500 163 17,000 84 8,000 165 6,500 126 10,000 67 20,000 188 5,500 159 10,000 310 1,000 13 Using the table above, answer the following questions;a. Calculate the b coefficientb. Calculate the a coefficientc. Estimate how much someone who has i. 0 years of schooling will earn ii. 20 years of schooling will earnd. Based on your answers in C above, what would be your conclusion to this debate? Is there an association between years of schooling and monthly income? Justify your answerA test was given to a group of students. The grades and gender are summarized below A B C Total Male 10 6 18 34 Female 3 20 8 31 Total 13 26 26 65 If one student is chosen at random from those who took the test, Find the probability that the student got a 'A' GIVEN they are male. Round to 4 decimal places, as needed.Padma completed her doctoral degree and has taken a position as an assistant professor at a local university. She was given the following performance measures for her new position. Identify whether these goals are long or short term. A. Interact in a fair and impartial way with students. B. Promote and access student academic achievement. C. Counsel students within the norms of society and the regulations of the college. D. Motivate students. E. Effectively plan and organize lectures and labs in accordance with the college course outlines. F. Report class attendance in accordance with the college policy and procedure. G. Serve on academic committees as assigned. H. Make progress toward tenure necessary at her university.
