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yhat=85.95-1.517x

-1.517

1.332

a

SEa

b

a

b

SEb

p value

test statistic

scatterplot

residual plot

dotplot of residuals

scatterplot

residual plot

each seat & score is indep. of others

dotplot of residuals

samples are randomly selected or assigned

residual plot

LINEAR

and

slope: -1.517

beta ( true slope of pop )

statistic +- (critical value)(standard error)

-1.517+(-1.96)(1.332) -1.517-(-1.96)(1.332)

(-4.13,1.09)

we can be 95% confident that the value of average ____ falls between -3.034148 and 0.00

No, as the interval includes 0.

Interval

Test

Choose:

parameter = beta = true slope of population lsrl

h0, Ha

Check:

L I N E a R

inear

ndependent

qual SD

ormal

andom

Calculate:

b+-t*SEb

t=b-beta

SEb

p-value

Conclude

We are 95% confident

Because p ><alpha we reject / not reject

computer output

  • SEb is given
  • t is given ( only for significance tests, its not t*, which is what we need for confidence intervals )
  • p value is given ONLY FOR Ha: != (if Ha is <> halve it

Embedded files

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