Question

Questio 1.3.3 For the table of data find the following. a. Draw a scatterplot. b. Calculate the correlation coefficient. x1 2 3 4 5 6 7 8 9 10 D c. Calculate the least squares line and graph it on the scatterplot. d. Predict the y-value when x is 11 y 0.1 0.7 1.1 2.1 2.6 3.1 3.1 4.4 4.6 5.1 a. Choose the correct scatterplot below & A O C. OD. b. Calculate the correlation coefficient. (Do not round until the final answer. Then round to three decimal places as needed.)

Answer 1

finding correlation coefficient of the data

Step 1: Find X middot Y, X^2 and Y^2 as it was done in the table below. Step 2: Find the sum of every column to get: sigma X = 55, sigma Y = 26.9, sigma X middot Y = 194.1, sigma X^2 = 385, sigma Y^2 = 98.63 step 3: Use the following to work out the correlation coefficient. R = n middot sigma XY - sigma X middot sigma Y/squareroot [n sigma X^2 - (sigma X)^2] middot [n sigma Y^2 - (sigma Y)^2] r = 10.194.1 - 55 middot 26.9/squareroot [10 middot 385 - 55^2] middot [10 middot 98.63 - 36.9^2] almostequalto 0.9913

correlation coefficient is r = 0.991