Question

For Exercise 1 through 7, do a complete regression analysis by performing the following steps.

a.Draw the scatter plot.

b.Compute the value of the correlation coefficient.

c.Test the significance of the correlation coefficient at α = 0.01, using Table I or use the P-value method.

d.Determine the regression line equation if r is significant.

e.Plot the regression line on the scatter plot, if appropriate.

f.Predict y′ for a specific value of x, if appropriate.

5.Typing Speed and Word Processing 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 a new word processing program. The data are shown. Please do by hand and show work

Speed x	48	74	52	79	83	56	85	63	88	74	90	92
Time y	7	4	8	3.5	2	6	2.3	5	2.1	4.5	1.9	1.5

If there is a significant relationship, predict the time it will take the average secretary who has a typing speed of 72 words per minute to learn the word processing program. (This information will be used for Exercise 9 and 11.)

Answer: 5.H₀: p = 0; H₁: ρ ≠ 0; r = –0.974; C.V. = ±0.708; d.f. = 10; reject. There is a significant linear relationship between speed and time; y′ = 14.086 – 0.137x; y′ = 4.2 hours. P < 0.0001

Answer 1