Question

A researcher wanted to see if motivation scale, grades in high school, and parents’ education predict students’ math achievement. The researcher conducted an analysis and got the following

ANOVAb

model	Sum of squares	df	Mean square	f	sig
Regression Residual Total	1509.723 1777.353 3287.076	4 68 72	377.431 26.138	14.44.	.000a

1. Predictors:(constant),gender,gradesinh.s.,motivationscale,parent’seducation
2. Dependentvariable:mathachievementtest

                                                               coefficientsa

model	Unstandized coefficienis		Standardized coefficienis	t	sig	collia
	B	Std. error	Beta			Tolera
(constant) Motivation scalegrades h.s. parent’s education gender	-5.444 2.148 1.991 .580 -3.631	3.605 .972 .400 .280 1.284	.203 .468 .198 -.269	-1.510 2.211 4.972 2.070 -2.828	.136 .030 .000 .042 .006

1. Dependent variable: math achievement test

What does the result mean?

Answer 1

ANSWER::

A researcher wanted to see if motivation scale, grades in high school, and parents’ education predict students’ math achievement.

The independent variables are motivation scale, grades in high school, and parents’ education, gender.

The dependent variable is the students’ math achievement.

1)

from the first table of ANOVA, we are finding that the conducted regression analysis is significant or not

i.e.e at least one independent/predictor variable is significant or not.

Ho: All independent/predictor variables are insignificant

vs

Ha: at least one independent/predictor variable is significant

Her from table , P-value = "sig." = 0.00

We reject Ho if P-value < 0.05

Here p-value = 0.00 < 0.05

So we reject Ho

We may conclude that at least one independent/predictor variable is significant.

2)

From the second table,

we will test for each variable is significant or not

Ho:- Variable is insignificant

vs

Ha: Variable is significant.

if the variable is significant then we will use it in our regression analysis.

Variable is significant is P-value = "sig." is less than 0.05

Variable	P-value	< 0.05	Significant / insignificant
motivation scale	0.03	yes	significant
grades in h.s.	0.000	yes	significant
Parent's education	0.042	yes	significant
gender	0.006	yes	significant

(Note: level of significance used is 0.05)

Here we found that the independent variables are motivation scale, grades in high school, and parents’ education, gender are significant.

The regression equation is:

students’ math achievement. = -5.444 + (2.148* motivation scale) + (1.991*grades in high school) + (0.580* parents’ education) +( -3.631*gender)

From above equation we can predict the students’ math achievement using the  motivation scale, grades in high school, and parents’ education, gender.

NOTE:: I HOPE YOUR HAPPY WITH MY ANSWER....***PLEASE SUPPORT ME WITH YOUR RATING...

***PLEASE GIVE ME "LIKE"...ITS VERY IMPORTANT FOR ME NOW....PLEASE SUPPORT ME ....THANK YOU