1. A researcher desires to know whether the typing speed of a secretary (in words per minute) is related to the time (in hours) that it takes the secretary to learn to use the word processing program. The data are shown below. The researcher wants to find out if there is a significant linear relationship between typing speed and the time it takes to learn the word processing program at alpha = 0.05.
   1. Speed (x) 48 74 52 79 83 56 85 63 88 74 90 92
   2. Time (y) 7 4 8 3.5 2 6 2.3 5 2.1 4.5 1.9 1.5

a. Draw the scatter plot for the variables two variables

b. Compute the correlation coefficient given that (x) = 884; (y) = 47.8; (xy) = 3163.8; (x2 ) = 67728; and (y2 ) = 242.06

c. Give a brief explanation of the type of relationship in terms of the strength and direction of the relationship based on the result in (b)

d. Test the significance of the correlation coefficient calculated in (b) using the steps below:

Step 1: State the hypotheses

Step 2: Find the critical value using Table A-6 (at alpha = 0.05)

Step 3: Make a decision

Step 4: Summarize the results

e. Calculate the coefficient of determination (explained variation)

f. Interpret the coefficient of determination in (e) based on the given context