Question

1. A researcher wants to know if the typing speed of a secretary in words per...

1. A researcher wants to know if the typing speed of a secretary in words per minute is related to the time in hours that it takes to learn the new word processing program. Below is speed versus hours to learn program. Find the standard error of estimate for an average secretary who has a typing speed of 72 words per minute to learn the word processing program.

2. A researcher wants to know if the typing speed of a secretary in words per minute is related to the time in hours that it takes to learn the new word processing program. Below is speed versus hours to learn program. Find the 90 % prediction interval for number of hours it would take an average secretary who has a typing speed of 72 words per minute to learn the word processing program.

Typing speed --48- 74 - 52- 79-- 83- 56- 85- 63- 88- 74- 90- 92
Time hrs.----- --7- ---4--- 8 - 3.5----2 - 6 --2.3- 5 - 2.1- 4.5-1.9- 1.5

Homework Answers

Answer #1

1. The standard error of estimate = 0.513

2. The 90% prediction interval for number of hours it would take an average secretary who has a typing speed of 72 words per minute to learn the word processing program is between 3.2430 and 5.1808.

Typing speed Time hrs.
48 7
74 4
52 8
79 3.5
83 2
56 6
85 2.3
63 5
88 2.1
74 4.5
90 1.9
92 1.5
0.949
r   -0.974
Std. Error   0.513
n   12
k   1
Dep. Var. Time hrs.
ANOVA table
Source SS   df   MS F p-value
Regression 49.0214 1   49.0214 186.02 8.69E-08
Residual 2.6353 10   0.2635
Total 51.6567 11  
Regression output confidence interval
variables coefficients std. error    t (df=10) p-value 90% lower 90% upper
Intercept 14.0857
Typing speed -0.1371 0.0101 -13.639 8.69E-08 -0.1554 -0.1189
Predicted values for: Time hrs.
90% Confidence Interval 90% Prediction Interval
Typing speed Predicted lower upper lower upper Leverage
72 4.2119 3.9416 4.4822 3.2430 5.1808 0.084
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