A researcher desires to know whether the typing speed of a secretary (in words p

Question

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.

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.

Test the significance of the correlation coefficient and the regression equation at a level of significance of .01.

Select one:

a. The p value equals .05. The correlation coefficient is not significant.

b. The p value is equal to .0000000869049. The correlation coefficient is significant.

c. The p value is equal to .006519. The correlation coefficient is significant.

d. The p value equals .00000000425. The correlation coefficient is not significant.

2.Refer back to the first question on driver's age and accidents. Find the standard error of the estimate.

Select one:

a. 2.2803

b. .6101

c. 1.4174

d. 5.8160

Refer back to the question on the typing speed and word processing. Find the standard error of the estimate.

Select one:

a. .5134

b. .9742

c. -.1245

d. 14.158

Speed x Time y 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

Explanation / Answer

The statistical software output for the given problem is:

Simple linear regression results:
Dependent Variable: Time y
Independent Variable: Speed x
Time y = 14.085652 - 0.13713555 Speed x
Sample size: 12
R (correlation coefficient) = -0.97415847
R-sq = 0.94898473
Estimate of error standard deviation: 0.51334966

Parameter estimates:

Analysis of variance table for regression model:

So,

1. p - value is very small and hence, correlation coefficient is significant.

Option b is correct.

2. The data for driver's age and accident hasn't given so standard error of this estimate can't be calculated.

For the standard error of typing speed and word processing, we can refer to the regresstion output.

Standard error = 0.5134

Option a is correct.

Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept 14.085652 0.75537748 0 10 18.64717 <0.0001 Slope -0.13713555 0.010054733 0 10 -13.638905 <0.0001

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.