(a) The correlation
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A: a)
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Q: What is Σ(는) () standardized value of x, standardized value of -1 -1
A: It is given that: w can be calculated as: w=4-42 =0
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- An aerobic exercise instructor remembers the data given in the following table, which shows the recommended maximum exercise heart rates for individuals of the given ages. (A graphing calculator is recommended.) Age (x years) 20 40 60 Maximum heart rate(y beats per minute) 166 150 134 (a) Find the linear correlation coefficient for the data. (Round your answer to two decimal places.)(b) What is the significance of the value found in part (a)? The graph of the regression points passes through all three data points.One of the data points is the y-intercept. The linear correlation coefficient should always be positive.The graph of the regression points passes through none of the data points.The slope of the regression is about half of what the expected value is. (c) Find the equation of the least-squares regression line. (Round your answers to two decimal places.)ŷ = (d) Use the equation of the least-squares line from part (c) to predict the maximum…Calculate the coefficient of correlation from the following data and comment on the result : Experience (X): 16 Preformance (Y): 23 12 22 18 24 4 17 3 19 10 20 12 21 18QUESTION 6 Determine which scatterplot shows the strongest linear correlation. Which shows the strongest linear correlation? x 00
- value of the linear correlation coefficient r.1) A college professor wants to see if there is a linear correlation between the number ofminutes that students study for an exam and the number of errors that each student madeon the exam.Study time in minutes| 90 100 130 150 180 200 220 300Number of errors on the exam 252820 201512 1310a) Find the correlation r between study time and the number of errors on an exam.b) Find critical values for r.c) Determine if there is significant linear correlation between study time and the number oferrors on an exam using a 0.05 significance level.d) Clearly state the conclusion.What is the correlation coefficient of variables x and y? A. -0.96 B. -0.98 C. 0.98 D. 0.96Which of the following correlation (r) show a negative association between 2 variables? 0.2 -1.4 0.4 -0.8
- Using the data in the table below, find the Rank (R) and Product Moment (r) Correlation Coefficient. Personality (1) Behaviour (y) 5 8 6 7 7 5 7 5 8 4 9 4 9 5 9 6 8 6 9The following table shows the number of units of a certain item sold by a store over a month in terms of the price in dollars charged by the store. Price in dollars 0.90 1.00 1.15 1.25 1.40 Number sold . 315 280 230 215 195 Use technology to find the correlation coefficient for the data. (Use decimal notation. Give your answer to two decimal places.) correlation coefficien What type of correlation is there between the price and the number sold?Q. (a) What is Correlation Coefficient? Explain it types and its application. (7+13)(b) Calculate the rank correlation coefficient for the following data of two tests given to candidates for a job.Test 1 76 83 80 79 65 81Test 2 80 79 85 60 64 58
- Calculate Coefficient of Correlation from the following data: 0.1 0.2 0.3 0.4 0.5 0.6 0.7 y 30,000 50,000 60.000 80,000 1.00,000 1,10,000 1.30,000After gathering data about the number of starfish and measuring the pollution in areas of the ocean you find a negative linear correlation between pollution levels and number of starfish. What can you conclude based on this information? a. There is a confounding variable that is affecting both pollution and starfish. b. As pollution rises the number of starfish falls c. That pollution is causing starfish to die, leading to the negative correlation d. That pollution is supporting starfish, leading to the negative correlationy: 30 -10 50 10 1 25 -15-60 15 8 35 20-5 7. 10 9. -40 -5 X: 9. 3 4 6. 0.05. Test for significant positive (linear) correlation at a =