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- Use the table to find the following, unit price being your (x) and units sold (y). a. Find linear correlation coefficient. Years of Experience Salary in 1000$ 2 3. 15 28 42 13 64 50 16 90 11 58 8 54 b. Find the line of best fit. c. How many units will sell if the unit price was 0.85.Which of the following sets of correlations shows the highest to lowest degree of relationship? A. +.70, +.15, -.10, -.85 B. -.85, +.70, -.10, +.15 C. +.70, +.15, -.85, -.10 D. -.85, +.70, +.15, -.10 E. -.10, +.15, +.70, -.85A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 8 children, measures their height and head circumference, and obtains the data shown in the table. The pediatrician wants to use height to predict head circumference. Compute the linear correlation coefficient between the height and head circumference of a child. Height Head Circumference (inches) (inches) 27.5 25 (Round to three decimal places as needed.) 17.3 17.1 26 25.25 27.25 26.75 25.75 27 25 17.2 17 17.6 17.4 17.2 17.3 Enter your answer in the answer box and then click Check Answer. All parts showing Clear All Check Answer Type here to search TOUG Panasonic CF-54 CDSS-4852 TERMO TOGA O O O O D () Scre Loc PrtSc Num Lock F10 F11 F12 F7 F8 F9 SysRq F5 F6 F3 F4 A 8 F1 F2 Esc & 7 0 8 B 90 5 A2 24 近 %#3
- Use a graphing calculator to create a scatter plot and find the line of best fit and the correlation coefficient for the following data. Round to the nearest hundredth. X 2 4 6 8124 10 Part: 0/2 y 2 3 6 7 10 15 19The scatterplot below shows the relationship between the percentage of the population of a state (Washington, DC included) that has at least a bachelor’s degree and the median income (in dollars) of the state for 2009. Use the scatter plot to answer the questions that follow. a. Describe the correlation between the percentage of the population with at least a bachelor’s degree and the median income, being sure to specifically note the strength and direction of the correlation. b. One observation seems to stick out from the rest. Circle it on the scatterplot. This particular observation is for Washington, DC. Can you think of any reasons why Washington, DC might have a high percentage of residents with a bachelor’s degree, but a lower than expected median income? c. The correlation coefficient for this scatterplot is 0.718. Is this value high enough to prove that there is, in fact, a correlation between the percentage of residents of a state with a bachelor’s degree and the median…The data below are the ages and annual pharmacy b ills (in dollars) of 9 randomly selected employees. Calculate the linear correlation coefficient.Age, x: 30, 33, 37, 40, 43, 45, 49, 53, 57Pharmacy bill ($), y: 119, 123, 126, 134, 145, 148, 151, 153, 155A. 0.890B. 0.908C. 0.998D. 0.960
- Shown below is a correlation table showing correlation coefficients between stock price, earnings per share (EPS), and the price/earnings (P/E) ratio for a sample of 19 publicly traded companies. Stock Price EPS P/E Stock Price EPS P/E 1.000 0.875 0.323 1.000 -0.111 1.000 What is the correlation between stock price and EPS? Interpret. What is the correlation between stock price and P/E? Interpret. What is the correlation between EPS and P/E? Interpret.A manager wishes to determine the relationship between the number of years the manager's sales representatives have been with the company and their average monthly sales (in thousands of dollars). Calculate the linear correlation coefficient.Years with company, x: 6,7,14,11,12,19,7,5,15Sales, y: 21,23,68,52,55,51,38,45,110Suppose a clinical psychologist sets out to see whether sexual orientation is related to relationship longevity. He decides to measure relationship satisfaction in a group of homosexual couples and a group of heterosexual couples. He chooses the Marital Satisfaction Inventory because it refers to "partner" and "relationship" rather than "spouse" and "marriage," which makes it useful for research with both traditional and nontraditional couples. Higher scores on the Marital Satisfaction Inventory indicate greater relationship satisfaction. The psychologist administers the Marital Satisfaction Inventory to 53 couples-23 are homosexual couples and 30 are heterosexual couples. He wants to calculate the correlation between a couple's relationship satisfaction and sexual orientation. Which of the following types of correlations would be most appropriate for the psychologist to use? O A phi-correlation A Spearman correlation OA point-biserial correlation A Pearson correlation
- The accompanying table lists the ages of acting award winners matched by the years in which the awards were won. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Should we expect that there would be a correlation? Use a significance level of a = 0.01. Click the icon to view the ages of the award winners. Construct a scatterplot. Choose the correct graph below. OA 70- 20- 20 70 Best Actress (years) B. 70- 20- 20 70 Best Actress (years) The linear correlation coefficient is r = (Round to three decimal places as needed.) 70- 20- 20 70 Best Actress (years) Q G D. 70- 20- 20 70 Best Actress (years)A graduate teaching assistant for an Introduction to Statistics course collected data from one of her classes to investigate the relationship between using the explanatory variable x=study time per week (average number of hours) to predict the response variable y=college GPA. For the 21 females in her class, the correlation was 0.42. For the eight males in her class, the data were as shown in the following table. Complete parts a through c below. Student 1 2 3 4 5 6 7 8 Study Time 15 6 22 13 24 4 10 15 GPA 3.4 2.8 3.9 3.2 3.7 2.7 3.2 2.7 a. Construct a scatterplot. Interpret. Which scatterplot below correctly shows the data? A. 04004xy A scatterplot has a horizontal x-axis labeled from 0 to 40 in increments of 10 and a vertical y-axis labeled from 0 to 4 in increments of 1. A cluster of plotted points that form a line that rises from left to right lie between…Stan measured the circumference of his classmates' heads and compared it with their current grade in Math. The results are in the given table. Head (cm) Grade 55 23 53 92 57 84 56 88 55 97 53 87 54 72 57 64 57 91 Is there a strong correlation in this data set? How do you know? Yes, there is a strong correlation because the slope is 126.5. No, there is NOT a strong correlation because the correlation coefficient is -0.89, which is close to -1.