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Midterm

STA221H5 Midterm: Test 2 notes chapter 12.1-12.7 complete
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4 Pages
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Department
Statistics
Course Code
STA221H5
Professor
Olga Fraser

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First order model in Five Quantitative Independent variables Bu represents the slope of the line relating y to x When all the other X's are hel cl ixed Estimator of 62 for a multne regress on Model WHh k Independent variables SS SS n- of esthmated B parameters n CK +I) confidence interval tor B Parameters n- ckti) degrees of freedom Test for individual parameters -Test statistic tc Bu SBI Relechon Region P Value t distribution based on n lydf valu ng Overall Model Un f you fail to re lect Ho ere are several conclusions I. There is no relationship een y & n. A straight- une Yelahonship between y XL ex st s 3, A relationship between y & exists out IS more complex than a straight ne relationship Muhple coefcenH of deerminoton a Ra IS defined as SSE ASS SSE explained variabl Total variabl ty SSYYT SSYYT Adlusted ple coefficient of determination (n-l) First order model in Five Quantitative Independent variables Bu represents the slope of the line relating y to x When all the other X's are hel cl ixed Estimator of 62 for a multne regress on Model WHh k Independent variables SS SS n- of esthmated B parameters n CK +I) confidence interval tor B Parameters n- ckti) degrees of freedom Test for individual parameters -Test statistic tc Bu SBI Relechon Region P Value t distribution based on n lydf valu ng Overall Model Un f you fail to re lect Ho ere are several conclusions I. There is no relationship een y & n. A straight- une Yelahonship between y XL ex st s 3, A relationship between y & exists out IS more complex than a straight ne relationship Muhple coefcenH of deerminoton a Ra IS defined as SSE ASS SSE explained variabl Total variabl ty SSYYT SSYYT Adlusted ple coefficient of determination (n-l)▯▯▯▯▯▯▯▯▯▯▯▯▯▯ ▯▯▯ ▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯ ▯▯▯NOTE: a SRR Test P (ssyy SSE K mean squarc (Node mean square Cerror) R2/K Reyechon Region: E F F, s based on k numerator & M-CK -I denomincitor degrees of freedom P (FSEC) -value Interachon Models: Interachon model with 2 quantahve variables CE1 +Bax3) en the change in tly) every one-unit Increase in x holding X2 fixed B2 t Bax represents the change in Ely) for eveN one-unit incrase in X2 holding XI fixe An Interacu Ion model is appropriate the linea r r
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