/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q14.117 If two variables are _ linearly ... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

If two variables are _ linearly correlated, one of the variables tend to decrease as the other increases.

Short Answer

Expert verified

If two variables are negatively linearly correlated, one of the variables tend to decrease as the other increases.

Step by step solution

01

Step 1. Introduction

p(rho) is a statistical parameter for the entire population, determining whether the variables are linearly correlated or not.

Linear correlation means variables change at a constant rate, and their relationship is denoted by straight line curve.

02

Step 2. Explanation 

pindicates the magnitude of correlation in the variables' populations. It is between and .

If two variables are negatively correlated, pis between and -1

It means that the variables move in opposite direction, one variable Increase with other variable decrease and one variable decrease with other variable increase.

The smaller value xis related with the smaller values of yand the larger value of xis related with large value of y. If the variable xincreased then variable yis also increased. As the other variables decreases as the first variable increases.

Thus, the appropriate word for the given blank is negatively.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

14.25 Plant Emissions. Plants emit gases that trigger the ripening of fruit, attract pollinators, and cue other physiological responses. N. Agelopolous et al. examined factors that affect the emission of volatile compounds by the potato plant Solanum tuberosum and published their findings in the paper "Factors Affecting Volatile Emissions of Intact Potato Plants, Solanum tuberosum: Variability of Quantities and Stability of Ratios" (Journal of Chemical Ecology, Vol. 26(2), pp. 497-511). The volatile compounds analyzed were hydrocarbons used by other plants and animals. Following are data on plant weight (x), in grams, and quantity of volatile compounds emitted (y), in hundreds of nanograms, for 11 potato plants.

Movie Grosses. The data from Exercise14.36 on domestic and overseas grosses for a random sample of 50 movies are on the WeissStats site.

14.22 Tax Efficiency. Tax efficiency is a measure ranging from 0 to 100 - of how much tax due to capital gains stock or mutual funds investors pay on their investments each year, the higher the tax efficiency, the lower the tax. The paper "At the Mercy of the Manager" (Financial Planning, Vol. 30(5), pp. 54-56 ) by C. Israelsen examined the relationship between investments in mutual fund portfolios and their associated tax efficiencies. The following table shows the percentage of investments in energy securities (x)and tax efficiency (y)for 10 mutual fund portfolios.

In Exercises 14.48-14.57, we repeat the information from Exercises 14.12-14.21.

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

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

y=1.75+0.25x

High and Low Temperature. The data from Exercise 14.39for average high and low temperatures in January for a random sample of 50cities are on the WeissStats site.

a. Decide whether you can reasonably apply the regression t-test. If so, then also do part (b).

b. Decide, at the 5%significance level, whether the data provide sufficient evidence to conclude that the predictor variable is useful for predicting the response variable.

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.