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 114 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
Excellent

TheDev123

  • Member
  • Posts: 332
Reply 3 on: Yesterday
Thanks for the timely response, appreciate it

« previous next »
 

Did you know?

Cutaneous mucormycosis is a rare fungal infection that has been fatal in at least 29% of cases, and in as many as 83% of cases, depending on the patient's health prior to infection. It has occurred often after natural disasters such as tornados, and early treatment is essential.

Did you know?

Not getting enough sleep can greatly weaken the immune system. Lack of sleep makes you more likely to catch a cold, or more difficult to fight off an infection.

Did you know?

There can actually be a 25-hour time difference between certain locations in the world. The International Date Line passes between the islands of Samoa and American Samoa. It is not a straight line, but "zig-zags" around various island chains. Therefore, Samoa and nearby islands have one date, while American Samoa and nearby islands are one day behind. Daylight saving time is used in some islands, but not in others—further shifting the hours out of sync with natural time.

Did you know?

People with high total cholesterol have about two times the risk for heart disease as people with ideal levels.

Did you know?

Throughout history, plants containing cardiac steroids have been used as heart drugs and as poisons (e.g., in arrows used in combat), emetics, and diuretics.

Plato’s Divided Line Plato’s Divided Line
The end of a typical line wrench, which shows that it is capable of grasping most of the head of ... The end of a typical line wrench, which shows that it is capable of grasping most of the head of ...
(A) Pinch along jaw line from midline to lateral aspect. (B) Press St-6 at masseter attachment. (A) Pinch along jaw line from midline to lateral aspect. (B) Press St-6 at masseter attachment.
Testing the triceps reflex Testing the triceps reflex
The forked-line method for determining gamete genotype frequency The forked-line method for determining gamete genotype frequency
Translation at endoplasmic reticulum–bound ribosomes and the signal hypothesis Translation at endoplasmic reticulum–bound ribosomes and the signal hypothesis
Video: Resting membrane potential - electrical polarity and maintenance requirements

For a complete list of videos, visit our video library