# Question: In the article Comparison of Fiber Counting by TV Screen

In the article "Comparison of Fiber Counting by TV Screen and Eyepieces of Phase Contrast Microscopy" (American Industrial Hygiene Association Journal, Vol. 63, pp. 756-761), I. Moa et al. reported on determining fiber density by two different methods. Twenty samples of varying fiber density were each counted by 10 viewers by means of an eyepiece method and a television-screen method to determine the relationship between the counts done by each method.

The results, in fibers per square millimeter, are presented on the WeissStats CD.

a. Decide whether use of the linear correlation coefficient as a descriptive measure for the data is appropriate. If so, then also do parts (b) and (c).

b. Obtain the linear correlation coefficient.

c. Interpret the value of r in terms of the linear relationship between the two variables in question.

The results, in fibers per square millimeter, are presented on the WeissStats CD.

a. Decide whether use of the linear correlation coefficient as a descriptive measure for the data is appropriate. If so, then also do parts (b) and (c).

b. Obtain the linear correlation coefficient.

c. Interpret the value of r in terms of the linear relationship between the two variables in question.

## Answer to relevant Questions

The coefficient of determination of a set of data points is 0.716. a. Can you determine the linear correlation coefficient? If yes, obtain it. If no, why not? b. Can you determine whether the slope of the regression line is ...y = −8 − 4x a. Find the y-intercept and slope. b. Determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation. c. Use two points to graph the equation. 5 and 2 a. Determine whether it slopes upward, slopes downward, or is horizontal, without graphing the equation. b. Find its equation. c. Use two points to graph the equation. 0 and 3 a. Determine whether it slopes upward, slopes downward, or is horizontal, without graphing the equation. b. Find its equation. c. Use two points to graph the equation. For a data set consisting of two data points: a. Identify the regression line. b. What is the sum of squared errors for the regression line? Explain your answer.Post your question