# ex2 - c) What are the null and alternative hypotheses for...

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Ex 2: The SAS System 15:08 Monday, May 5, 2008 80 The GLM Procedure Dependent Variable: gpa Sum of Source DF Squares Mean Square F Value Pr > F Model 2 159.9022855 79.9511428 33.40 <.0001 Error 75 179.5246058 2.3936614 Corrected Total 77 339.4268914 R-Square Coeff Var Root MSE gpa Mean 0.471095 20.77672 1.547146 7.446538 Source DF Type I SS Mean Square F Value Pr > F concept 1 99.64993204 99.64993204 41.63 <.0001 iq 1 60.25235350 60.25235350 25.17 <.0001 Source DF Type III SS Mean Square F Value Pr > F concept 1 23.58348049 23.58348049 9.85 0.0024 iq 1 60.25235350 60.25235350 25.17 <.0001 Standard Parameter Estimate Error t Value Pr > |t | 95% Confidence Limits Intercept -3.882035648 1.47223303 -2.64 0.0102 -6.814874234 -0.949197062 concept 0.051252701 0.01632842 3.14 0.0024 0.018724820 0.083780582 iq 0.077202569 0.01538778 5.02 <.0001 0.046548530 0.10785660 Questions: a) What is the model in parameter form?

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b) What is the model with the estimates plugged in?

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Unformatted text preview: c) What are the null and alternative hypotheses for the F test? d) Can we say Concept and IQ are linearly related to GPA at the 0.05 level? The 0.01 level? e) What is the average increase in IQ for a 1 point increase in concept? In IQ? f) What is the predicted GPA for a student with an IQ of 110 and a concept of 60? Lets look at the residuals: r e s i d- 7- 6- 5- 4- 3- 2- 1 1 2 3 i q 7 0 8 0 9 0 1 0 0 1 1 0 1 2 0 1 3 0 1 4 0 r e s i d- 7- 6- 5- 4- 3- 2- 1 1 2 3 p r e d 3 4 5 6 7 8 9 1 0 1 1 r e s i d- 7- 6- 5- 4- 3- 2- 1 1 2 3 c o n c e p t 2 0 3 0 4 0 5 0 6 0 7 0 8 0 r e s i d- 8- 6- 4- 2 2 4 N o r ma l Q u a n t i l e s- 3- 2- 1 1 2 3 What can we say about the residuals structure? Is there anything wrong with it? What can we say about the QQ-Plot?...
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## ex2 - c) What are the null and alternative hypotheses for...

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