Chapter 14, Problem 22P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

Does the regression equation from Problem 20 account for a significant portion of the variance in the *Y* scores? Use α* =* .05 to evaluate **the** *F*-ratio.

To determine

The regression equation account for a significant portion of the variance in the *Y* scores.

Explanation

**Given info:**

The alpha value is given as 0.05, SS_{y} is given as 50, n is given as 6, r^{2} is given as 0.799 and SS_{residual} is given as 10.05.

**Calculation:**

For knowing whether the regression equation account for a significant portion of the variance in the *Y* scores, need to know correlation is statistically significant or not, firstly makes a hypothesis as there is no correlation.

Here H_{0} is for null hypothesis and H_{a} for alternative hypothesis. For knowing about significance of correlation F-test is used.

Where MS regression is calculated as:

And MS residual is calculated as:

Here SS regression is calculated as:

Substitute the given values in SS_{regression} then:

Sect-14.1 P-1LCSect-14.1 P-2LCSect-14.1 P-3LCSect-14.1 P-4LCSect-14.2 P-1LCSect-14.2 P-2LCSect-14.2 P-3LCSect-14.3 P-1LCSect-14.3 P-2LCSect-14.4 P-1LC

Sect-14.4 P-2LCSect-14.4 P-1LCASect-14.5 P-1LCSect-14.5 P-2LCSect-14.5 P-3LCSect-14.5 P-1LCASect-14.5 P-2LCASect-14.6 P-1LCSect-14.6 P-2LCSect-14.6 P-3LCSect-14.6 P-4LCSect-14.6 P-1LCASect-14.6 P-1LCBSect-14.6 P-2LCBSect-14.6 P-3LCBSect-14.6 P-1LCCCh-14 P-1PCh-14 P-2PCh-14 P-3PCh-14 P-4PCh-14 P-5PCh-14 P-6PCh-14 P-7PCh-14 P-8PCh-14 P-9PCh-14 P-10PCh-14 P-11PCh-14 P-12PCh-14 P-13PCh-14 P-17PCh-14 P-18PCh-14 P-19PCh-14 P-20PCh-14 P-21PCh-14 P-22PCh-14 P-23PCh-14 P-24PCh-14 P-25PCh-14 P-26PCh-14 P-27PCh-14 P-28PCh-14 P-29P

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