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
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 |
r² | 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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