You are given the following data relating to aptitude scores and productivity Example 1 index.. Aptitude scores (X): 9. 18 18 20 20 23 Productivity index (Y): Find the co-efficient of correlation between aptitude scores and productivity index 33 23 33 42 29 32
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- For the following pairs of variables, indicate whether you would expect a positive correlation, a negative correlation, or close to 0 correlation. Maximum daily temperature and cooling costs Interest rates and number of loans Incomes of husbands and wives in dual career families Height and IQ Height and shoe size Score on the Math SAT and Verbal SAT scores Time spent on video games and college GPA Use of fertilizer and yield of cropsCan you please check my workCan you please check my work
- 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…A correlation coefficient provides two pieces of information about a relationship between two variables. These are -Strength; direction of relationship - Direction, proportions - Direction, which one causes which - Which one causes which, effect size. READ FIRST: Show as much of your work in the text box below as possible, and include the rest in your scratch work. Scratch work supports what you write on this exam form. At the minimum, type your answers to each of the following 5 questions A-E in the text box - do not refer me to your scratch work for the answers. Do show your work (on the exam form or scratch work) for the calculations needed to answer B, so partial credit can be given in the case of a math error that throws off your calculations. The best way to do this is inside tables if possible. Total 10 15 You conduct a survey to find out whether talking on a cell phone during a romantic date bothers people. You want to find out if there is a gender difference on this issue,…(e)
- The data below was collected from manufacturer advertisements of their vehicles horsepower (x) and highway gas mileage (mpg=y). Use this data to answer the following questions. horsepower 146 250 340 350 390 190 220 mpg 33 28 15 17 11 35 42 1. Find the p-value to determine if there is a linear correlation between horsepower and highway gas mileage (mpg). Record the p-value below. Round to four decimal places.p-value==2. Is there a linear correlation between horsepower and highway gas mileage (mpg)? 3. If there is a linear correlation, write the correlation coefficient below. Otherwise, leave it blank. Round your final answer to four decimal places. Be careful with your sign.r=r= 4. If there is a linear correlation, write the regression equation below. Otherwise, leave it blank. Round all numbers to four decimal places.ˆy=y^=5. Using the data shown above, predict the the highway gas mileage (mpg) for a car that has a horsepower of 225. Round your final answer to two decimal…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…For the accompanying data set, (a) draw a scatter diagram of the data, (b) by hand, compute the correlation coefficient, and (c) determine whether there is a linear relation between x and y. Click here to view the data set. Click here to view the critical values table. Critical values for the correlation coefficient Critical Values for Correlation Coefficient Data set 3 0.997 4 0.950 2 4 6. 6. 7 0.878 0.811 y 4 8. 12 14 19 7 0.754 8 0.707 0.666 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 25 0.396 26 0.388 27 0.381 28 0.374 29 0.367 30 0.361 Print Done n
- As temperature decreases, rates of crime also seem to decrease. Which of the following Pearsons R values represents the strongest possible correlation between these two variables?" -0.5 -1 0.5 1After 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 correlationCalculate test statistic Decide whether to reject or fail to reject
