Below is a set of observations for two variables, x and y.   x Y 1 3 2 7 3 5 4 11 5 14 a.) Develop a scatter diagram by hand b.) Calculate the mean and standard deviation of x c.) Calculate the mean and standard deviation of y d.) Calculate the covariance e.) Calculate the correlation coefficient Please do not use excel or spss, I need to see how these are done by hand

The data shown to the right for the dependent variable, y, and the independent variable, x, have been collected using simple random sampling. y 11 110 15 160 12 120 a. Construct a scatter plot for these data. Based on the scatter plot, how would you describe the relationship between the two variables? b. Compute the correlation coefficient. 15 150 14 130 11 100 13 140 10 90 a. Which graph below shows a scatter plot for these data? OA. O B. B. OC. Ay 180- OD. Ay 15 - Ay 180- Av 15- 0 10 15 10- 180 10 15 10+ 180 There appears to be linear relationship between x and y. b. What is the correlation coefficient? r= (Round to two decimal places as needed.)

M6

Using the following information select the appropriate interpretation for the correlation coefficient: Variables being compared are age in years and annual salary. r = -0.15 A. It indicates a weak positive correlation which implies, as age increases annual salary decreases B. It indicates a strong negative correlation which implies, as age increases annual salary decreases C. It indicates a strong positive correlation which implies, as age increases annual salary also increases D. It indicates a weak negative correlation which implies, as age increases annual salary decreases