Question

HELP PLEASE!!

A sociologist is interested in the relation between x = number of job changes and y = annual salary (in thousands of dollars) for people living in the Nashville area. A random sample of 10 people employed in Nashville provided the following information. X (number of job changes) Y (Salary in $1000) 5 10 10 3 32 37 34 32 32 38 43 37 40 33 In this setting we have Ex = 59, Ey = 358, Ex? = 429, Ey? = 12,948, and Exy = 2187.

Answer 1

e)

predicted value =

34.97

f)

Se =√(SSE/(n-2))=

2.79

g)

std error of confidence interval =				s*√(1+1/n+(x0-x̅)2/Sxx)=			2.9434
for 90 % confidence and 8degree of freedom critical t=							1.860
lower limit =		29.500
uppr limit =		40.45

h)

test statistic t =

r*(√(n-2)/(1-r2))=

2.977

0.005 < P-value < 0.010

Reject the null hypothesis. There is sufficient evidence that 8 >0.

i)

std error of slope sb1 =				s/√SSx=		0.3106
for 90 % confidence and -2degree of freedom critical t=						1.8600
90% confidence interval =b1 -/+ t*standard error=					(0.347,1.502)
lower limit =		0.347
uppr limit =		1.502

For each less job change, the annual salary increases by an amount that falls within the confidence interval.