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- Use the data to the right to complete parts (a) through (d) below. Percentage Who Won't Try Don't Approve of Sushi Marriage Equality Generation Millennials y 32 39 Gen X Boomers Silent/Greatest Generation 54 52 61 55 69 66 a. Determine the correlation coefficient between the percentage of people who won't try sushi and the percentage who do not approve of marriage equality. (Do not round until the final answer. Then round to two decimal places as needed.) b. What explanations can you offer for the correlation coefficient in part (a)? Choose the correct answer below. O A. Unwillingness to try sushi and disapproval of marriage equality have a weak positive correlation. O B. Unwillingness to try sushi and disapproval of marriage equality have a strong negative correlation. C. Unwillingness to try sushi and disapproval of marriage equality have no correlation. O D. Unwillingness to try sushi and disapproval of marriage equality have a strong positive correlation. c. Find the equation of…A professor went to a website for rating professors and looked up the quality rating and also the "easiness" of the six full-time professors in one department. The ratings are 1 (lowest quality) to 5 (highest quality) and 1 (hardest) to 5 (easiest). The numbers given are averages for each professor. Assume the trend is linear, find the correlation, and comment on what it means. Calculate the correlation. r = (Round to three decimal places as needed.) Comment on the meaning of the correlation. Choose the correct interpretation below. OA. The professors that have high easiness scores tend to also have low quality scores.. OB. Being "easy" as a professor causes students to regard the professor as having a higher quality. OC. The professors that have high easiness scores tend to also have high quality scores. OD. Being "easy" as a professor causes students to regard the professor as having a lower quality. Quality Easiness D 4.7 3.7 4.7 3.1 4.2 3.5 4.2 2.6 3.9 1.9 3.5 1.8Which correlation would allows for the best prediction of Y based on X? Group of answer choices r = .50 r = .80 r = .05 r = -.90
- Which scatter plot shown has the strongest negative correlation?Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a percentage of claims. x 3 7 15 32 75 y 40 35 30 26 18 (a) Make a scatter diagram of the data and visualize the line you think best fits the data. Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website. (b) Would you say the correlation is low, moderate, or strong? positive or negative? strong and negative moderate and negative strong and positive low and negative low and positive moderate and positive (c) Use a calculator to verify that Σx = 132, Σx2 = 6932, Σy = 149, Σy2 = 4725, and Σxy = 2997. Compute r. (Round your answer to three decimal places.)r = As x increases, does the value of r imply that y should tend to increase or decrease? Explain. Given our value of r, we cannot draw any conclusions for the behavior of y as x increases. Given our value of r, y should tend to…The data below is 12 observations of Math SAT scores (x) and scores on Math placement test (y). Calculate the linear correlation coefficient, rr. Enter your answers to two decimal places. X Y 420 426 410 360 600 575 460 538 550 553 480 407 560 635 450 388 400 383 430 402 470 462 440 437 rr =
- Which of the following must be entries from the original data set? the mode the range the third quartile the median the maximumUse the output below to test to see if there is a significant negative linear relation between atmospheric pressure and maximum wind speed of hurricanes. Use a 1% level of significance. Correlations: Pressure, WindSpeed Pearson correlation of Pressure and WindSpeed -0.958 %3D P-Value = 0.000Which number below is representative of the largest correlation? r = -0.75 r = .05 r = -0.45 r = 0.65
- Calculate test statistic Decide whether to reject or fail to rejectUse the output below to test to see if there is a significant positive linear relation between height and head circumference in children. Use a 5% level of significance. Correlations: Height, Head Circ Pearson correlation of Height and Head Circ 0.911 P-Value 0.000
