Question

State the research aim , planned analysis to adress the research correlation/linear regssion analysis

State the statment hypothesis and discuss the results?

Make a statement regaurding assumptions and if they have been met

the r square value and what it means

significance of the regression ( the anova table statistics and p value)

state regression equation

It is assumed that achievement test scores should be correlated with student's classroom performance. One would expect that students who consistently perform well in the classroom (tests, quizzes, etc.) would also perform well on a standardized achievement test (0 - 100 with 100 indicating high achievement). A teacher decides to examine this hypothesis. At the end of the academic year, she computes a correlation between the student’s achievement test scores (she purposefully did not look at this data until after she submitted student’s grades) and the overall gpa for each student computed over the entire year. The data for her class are provided below.

Achievement	G.P.A.
98	3.6
96	2.7
94	3.1
88	4.0
91	3.2
77	3.0
86	3.8
71	2.6
59	3.0
63	2.2
84	1.7
79	3.1
75	2.6
72	2.9
86	2.4
85	3.4
71	2.8
93	3.7
90	3.2
62	1.6

Answer 1

H0: There is no linear relation between Achievemnt and G.P.A
H1: There is linear relation between Achievemnt and G.P.A
Let the los be alpha = 5%

R-Sq = 27.5% = 0.275

Correlations: Achievement, G.P.A.

Pearson correlation of Achievement and G.P.A. = 0.524
P-Value = 0.018

P-value = 0.018 < alpha 0.05 so we reject H0

Thus we conclude that there is linear relation between Achievemnt and G.P.A

The regression equation is
G.P.A. = 0.627 + 0.0284 Achievement

P-value = 0.018 < alpha 0.05 so we reject H0

Thus we conclude that there is linear relation between Achievemnt and G.P.A i.e. the regression equation is best fit to the given data i.e. significant