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Chapter 14: Q14.114 (page 585)

Is 'p' a parameter or a statistic ? What about r? Explain your answer

Short Answer

Expert verified

p is parametric correlation coefficient of population, r is statistic estimate from sample.

Step by step solution

01

Parameter and Statistic 

Parameter is a statistical measure of entire population, where population involves all the units of data.

Statistic is an estimate of population parameter, where sample involves only selected units (out of population) of data

02

Correlation Coefficients p and r

Variables are linearly correlated when they change at a constant rate, their relationship is denoted by a straight line graph.

pand rare statistical linear correlation coefficients

p(rho) is the Parameter - linear correlation coefficient, for entire population

r is the sample based 'statistic' estimate of - linear correlation coefficient r(rho)

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Most popular questions from this chapter

In Exercises 14.98-14.108, use the technology of your choice to do the following tasks.
a. Decide whether your can reasonably apply the conditional mean and predicted value t-interval procedures to the data. If so, then also do parts (b) - (h).
b. Determine and interpret a point estimate for the conditional mean of the response variable corresponding to the specified value of the predictor variable.
c. Find and interpret a 95% confidence interval for the conditional mean of the response variable corresponding to the specified value of the predictor variable.
d. Determine and interpret the predicted value of the response variable corresponding to the specified value of the predictor variable.
e. Find and interpret a 95% prediction interval for the value of the response variable corresponding to the specified value of the predictor variable.
f. Compare and discuss the differences between the confidence interval that you obtained in part (c) and the prediction interval that you obtained in part (e).

14.103 High and Low Temperature. The data from Exercise 14.31for average high and low temperatures in January of a random sample, of 50cities are on the WeissStats site. Specified value of the predictor variable: 55掳F.

To find and interpret a confidence interval , at the specified confidence level 99%for the slope of the population regression line that relates the response variables to the predictor variable.

Suppose that x and y are predictor and response variables, respectively, of a population. Consider the population that consists of all members of the original population that have a specified value of the predictor variable. The distribution, mean, and standard deviation of the response variable for this population are called the______, ______ and _____ respectively, corresponding to the specified value of the predictor variable.

The data from Exercise 14.43 for volume, in cubic feet, and diameter at breast height, in inches, for 70 shortleaf pines are on the WeissStats site.

State the four conditions required for making regression inferences.
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