Question

A researcher was interested in the relationship between the reported stress level (variable X) and performance on memory test (variable Y).

The data collected on a sample of *n* =
62 undergraduate students produced the following
results: *M _{X}* = 4,

**A.** Is there a significant correlation between
stress level and memory performance? Assume 2-tailed test,
*p* < .05. For full credit your answer should
include:

Null and alternative hypotheses

Computation of Person correlation, r

The r critical for this study and the decision about the null hypothesis

The conclusion with the Person correlation outcome in APA style

**B**. Find the regression equation for predicting
memory performance (Y) from the person's reported stress level (X).
(Note: For full credit write all computational steps in your
answer)

Answer #1

A)

Null hypothesis:Ho: =0

alternate hypothesis:Ho: 0

Person correlation, r =SP/sqrt(SSx*SSy)=-15/sqrt(30*90)=-0.289

for 0.05 level and (n-2=60) df critical r=0.250

as absolute value of tst statsitic r is higher then critical value we reject null and conclude that there a significant correlation between stress level and memory performance

b)

here slope b1=SP/SSx=-15/30=-0.5

and intercept bo=My-b1*Mx=6-(-0.5)*4=8

hence memory performance (Y)=8-0.5*stress level(X)

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