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Chapter 14: Q14.111 (page 585)

Identify the statistic used to estimate the population linear correlation coefficient

Short Answer

Expert verified

'r' is the statistic used to estimate age population linear correlation.

Step by step solution

01

Linear Correlation 

Linear correlation means that two variables change at a constant rate, with graphical representation denoted by a straight line.

02

Statistic Coefficient 

Population includes all the units of a data, sample includes some selected units.

Population statistical measures are 'parameters', sample estimates of parameters are 'statistic'

  • Population parameter : Correlation coefficient = p (rho)
  • Sample estimate statistic : Correlation coefficient = r

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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 you 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% Te 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 a95% 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).
14.100 Movie Grosses. The data from Exercise 14.36 on domestic and overseas grosses for a random sample of 50 movies are on the WeissStats site. Specified value of the predictor variable: S 100 million.

In this Exercise 14.53, we repeat the information from Exercise 14.17.

a. Decide, at the 10%significance level, whether the data provide sufficient evidence to conclude that xis useful for predicting y:

b. Find a 90%confidence interval for the slope of the population regression line.

role="math" localid="1652352243033" x22344y34021 y^=5-x

Crown-Rump Length. In the article "The Human Vomeronasal Organ. Part II: Prenatal Development" (Joumal of Anatomy, Vol. 197, Issue 3, pp. 421-436), T. Smith and K. Bhatnagar examined the controversial issue of the human vomeronasal organ, regarding its structure, function, and identity. The following table shows the age of fetuses (x), in weeks, and length of crown-rump (y), in millimeters.

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.

Following are the data on the percentage of investments in energy securities and tax efficiency95%,伪=0.05 . find and interpret a confidence interval, at the specified confidence level, for the slope of the population regression line that relates the response variable to the predictor variable.
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