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Solutions to Tutorial 6 Problems. 1. The matrix plot of the Milk Production Data. The linearity assumption is ok. The measurement error assumption: a). Normality: seems ok b). Mean zero: ok
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Solutions to Tutorial 6 Problems 1. The matrix plot of the Milk Production Data
The linearity assumption is ok. • The measurement error assumption: • a). Normality: seems ok b). Mean zero: ok • c). Independence: seems ok d). Homogeneity: slightly violated. • The predictor assumption: • a). Nonrandom: violated b). No measurement errors: unknown • c). Linearly independence: not violated. • 4. The observation assumption: violated. There are some outliers.
The linearity assumption is ok. • The measurement error assumption: • a). Normality: seems violated b). Mean zero: ok • c). Independence: seems ok d). Homogeneity: slightly violated. • The predictor assumption: • a). Nonrandom: violated b). No measurement errors: unknown • c). Linearly independence: not violated. • 4. The observation assumption: seems violated. There are 3 outliers.
The linearity assumption seems violated. • All other assumptions can not be checked.
The linearity assumption is ok. • The measurement error assumption: • a). Normality: seems ok b). Mean zero: ok • c). Independence: seems ok d). Homogeneity: seems ok. • The predictor assumption: • a). Nonrandom: violated b). No measurement errors: unknown • c). Linearly independence: not violated. • 4. The observation assumption: seems violated. There are outliers.
The linearity assumption is ok. • The measurement error assumption: • a). Normality: seems violated b). Mean zero: ok • c). Independence: seems ok d). Homogeneity: seems ok. • The predictor assumption: • a). Nonrandom: unknown b). No measurement errors: unknown • c). Linearly independence: not violated. • 4. The observation assumption: seems violated. There are some outliers.
2. a) The SLR fit results in the following: The regression equation is Minutes = 37.2127 + 9.96950 Units S = 18.7534 R-Sq = 89.7 % R-Sq(adj) = 89.2 % Analysis of Variance Source DF SS MS F P Regression 1 67084.8 67084.8 190.749 0.000 Error 22 7737.2 351.7 Total 23 74822.0 Assumptions Violated: 1). The Linearity Assumption is violated 2). All other Assumptions can not be checked since linearity is violated.