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- For the following exercises, consider this scenario: The population of a city increased steadily overa ten-year span. The following ordered pairs show the population and the year over the ten-year span (population, year) for specific recorded years: (3,600,2000);(4,000,2001);(4,700,2003);(6,000,2006) 44. What is the correlation coefficient for this model tothree decimal places of accuracy?A study conducted by students in an AP Psychologyclass at South Kent School in Connecticut discovereda correlation of –0.38 between hours of sleep (x) andGPA (y). If we change the variable on the horizontal axisto hours awake (24 - x), but make no change to theGPA data, which of the following would be true aboutthe new scatterplot?A) It slopes down, and the correlation is -0.38.B) It slopes down, and the correlation is +0.38.C) It slopes up, and the correlation is -0.38.D) It slopes up, and the correlation is +0.38.E) None of the above choices is correct.(Source: http://www.cardinalnewsnetwork.org/south-kent-community/sleep-study-sks-style/)X Y 1 6 4 1 1 4 1 3 3 1 Which of the following scatterplots accurately depicts this set of scores?
- Given that SSxx=265, SSyy=172, and SSxy=184, What is the value of the correlation coefficient?A set of n = 10 pairs of scores has ΣX = 20, ΣY = 30, and ΣXY = 74. What is the value of SP for these data?Given that SSxx=213, SSyy=176, and SSxy=180, What is the value of the correlation coefficient? (Round to two decimal places).
- for a population with a µ = 60 and σ = 12 Find the z-score for an x value of 75For each of the following statements, indicate whether you believe the statement is true or false. If you correlate two quantitative variables, called “x” and “y,” the correlation will not change if you switch which variable is “x” and which is “y.” To compute r, both variables must be quantitative (or numerical). The correlation coefficient is not affected by outliers.If r = 0.5 and N = 4, would you conclude that a positive correlationexists between the two variables? Explain your answer. Whatif N = 500?
- For each problem, select the best response. (a) In a scatterplot of the average price of a barrel of oil and the average retail price of a gallon of gasoline, you expect to see A. a positive association. B. very little association. C. a negative association. D. None of the above. (b) If the correlation between two variables is close to 0, you can conclude that a scatterplot would show A. a cloud of points with no visible pattern.B. no straight-line pattern, but there might be a strong pattern of another form. C. a strong straight-line pattern. D. None of the above. (c) You have data for many years on the average price of a barrel of oil and the average retail price of a gallon of unleaded regular gasoline. When you make a scatterplot, the explanatory variable on the x -axis A. is the price of gasoline. B. can be either oil price or gasoline price. C. is the price of oil. D. None of the above.The relationship between the number of hours a person practices a task and the time it takes them to complete the task is calculated to have R2 = 56.7 %. The value of the correlation coefficient is?In general, ___________% of the values in a data set lie at or below the 28 th percentile. _______________ % of the values in a data set lie at or above the 90 th percentile.. If a sample consists of 700 test scores, _________of them would be at or below the 52 th percentile. If a sample consists of 700 test scores, ________ of them would be at or above the 64 th percentile.