We are interested in whether math score (math – a continuous variable) is a significant predictor...

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We are interested in whether math score (math – a continuousvariable) is a significant predictor of science score (science – acontinuous variable) using the High School and Beyond (hsb2)data.
State the null and alternative hypotheses and the level ofsignificance you intend to use.
Ho:?=0
H1:??0
Alph:0.05
Write the equation for the appropriate test statistic.
t =b/SE(b)
What is your decision rule? Be sure to include the degrees offreedom.
If our t value is greater than the critical value of 1.96 wereject the null hypothesis.
FD= n-2=200-2= 198=1.96
Using SAS, estimate the means, variances and covariances formath and science scores. Copy and paste the relevant SAS outputbelow.
variable label DF Peramieter Estimate Standered Error tvalue Pr> 95% CI
intercept intercept 1 21.7 2.75 7.88 <0.001 16.26,27.13
science science score 1 0.596
0.052
11.44 <0.001 0.49,0.69
Using the output from (d), calculate by hand the slope. Be sureto show your work.
Using the output from (d), calculate by hand the intercept. Besure to show your work

Answer & Explanation Solved by verified expert

3.9 Ratings (595 Votes)

In the given SAS output above the value of slope b1 is0596 and value of intercept b0 is217 To calculate slope and intercept by hand weneed value of mean See Answer

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variable	label	DF	Peramieter Estimate	Standered Error	tvalue	Pr>	95% CI
intercept	intercept	1	21.7	2.75	7.88	<0.001	16.26,27.13
science	science score	1	0.596	0.052	11.44	<0.001	0.49,0.69