This topic contains a solution. Click here to go to the answer
« previous next »

Author Question: Testing the null hypothesis that the slope of the true regression line equals zero is equivalent to ... (Read 126 times)

dollx

  • Hero Member
  • *****
  • Posts: 558
on: Jun 24, 2018
Testing the null hypothesis that the slope of the true regression line equals zero is equivalent to testing whether the true coefficient of correlation could be zero. Why?

Question 2

The values of y and x are inversely related, and 84.64 of the variation in y is explained by the regression equation. What is the coefficient of correlation?


Related Topics

Need homework help now?

Ask unlimited questions for free

Ask a Question
Marked as best answer by a Subject Expert

yuyiding

  • Sr. Member
  • ****
  • Posts: 357
Reply #1 on: Jun 24, 2018
Answer to Question 1

If the slope of the true regression line is zero, then the true coefficient of correlation is also zero. Both of these cases imply no linear relationship between the dependent variable (y) and the independent variable (x).

Answer to Question 2

Since 84.64 of the variation in y is explained by x .8464 is the coefficient of determination. The square root of the coefficient of determination, with the appropriate sign, is equal to the coefficient of correlation. Therefore, the coefficient of correlation is -.92 . We know this is negative because y and x are inversely related.


dollx

  • Member
  • Posts: 558
Reply 2 on: Jun 24, 2018
Thanks for the timely response, appreciate it

bassamabas

  • Member
  • Posts: 294
Reply 3 on: Yesterday
:D TYSM

« previous next »
 

Did you know?

The average adult has about 21 square feet of skin.

Did you know?

ACTH levels are normally highest in the early morning (between 6 and 8 A.M.) and lowest in the evening (between 6 and 11 P.M.). Therefore, a doctor who suspects abnormal levels looks for low ACTH in the morning and high ACTH in the evening.

Did you know?

Before a vaccine is licensed in the USA, the Food and Drug Administration (FDA) reviews it for safety and effectiveness. The CDC then reviews all studies again, as well as the American Academy of Pediatrics and the American Academy of Family Physicians. Every lot of vaccine is tested before administration to the public, and the FDA regularly inspects vaccine manufacturers' facilities.

Did you know?

There are major differences in the metabolism of morphine and the illegal drug heroin. Morphine mostly produces its CNS effects through m-receptors, and at k- and d-receptors. Heroin has a slight affinity for opiate receptors. Most of its actions are due to metabolism to active metabolites (6-acetylmorphine, morphine, and morphine-6-glucuronide).

Did you know?

The oldest recorded age was 122. Madame Jeanne Calment was born in France in 1875 and died in 1997. She was a vegetarian and loved olive oil, port wine, and chocolate.

A, A nurse is adding a medication to an IV line as a piggyback A, A nurse is adding a medication to an IV line as a piggyback
True Friendship True Friendship
A recruiting poster for the “True Sons of Freedom” encouraged African Americans to enlist. In fact, A recruiting poster for the “True Sons of Freedom” encouraged African Americans to enlist. In fact,
Nomogram chart. This example shows a line drawn from a child’s height of 100 cm to his weight, 35 ... Nomogram chart. This example shows a line drawn from a child’s height of 100 cm to his weight, 35 ...
The slope of the curve y = ax^3 - bx^2 + cx - 3 at x = 2 is 5. If the point of inflection of the cur The slope of the curve y = ax^3 - bx^2 + cx - 3 at x = 2 is 5. If the point of inflection of the cur
Equivalent Trig Expressions Equivalent Trig Expressions
Video: Resting membrane potential - electrical polarity and maintenance requirements

For a complete list of videos, visit our video library