Give R commands and examples of the following a How to fin.pdf

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Give R commands and examples of the following: a. How to find the least square estimates and maximum likelihood estimators? (Hint: the least squares estimates are the same as the MLEs of the GLM assuming normal rather than binomial random component) b. Use ordinary least squares. Find the predicted probability at the highest observed weight c.fit model using maximum likelihood estimation, treating Y as a binary variable in R d. How to fit logistic regression model in R (and how to derive the estimated logit at a weight of 5.2 kg and derive corresponding estimated probability pi hat. e. HOw to fit a poison regression model wit the log link. report the prediction equation f. Allow overdispersion by fitting negative binomial loglinear model.

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Geologic maps show the distribution of rock units at the surface as well as structural features, such as faults and folds. A geologic map is usually printed on top of a regular topographic map (the base map) to help you locate yourself on the map. The base map is printed with light colors, so it doesn't interfere with seeing the geologic features on the map. The geology is represented by colors, lines, and symbols unique to geologic maps. Each color used on a geologic map represents a different geologic unit. A unit is a specific type of rock of a specific age range (for example, a Permian limestone, a contact late Triassic sandstone, etc). All exposures of rocks of the same age and type are shown with the same color and are separated from other rocks by a line representing the contact between them. The two main types of contacts shown on most geologic maps are depositional contacts and faults. Where the original depositional contact between geologic units is preserved, it is shown on the geologic map as a thin line. If the rocks are in contact because of a fault, a thicker line is used to represent the fault, and the relative motion along the fault, if known, is indicated by labeling the upthrown side and downthrown side of the fault. For low angle (thrust) faults the teeth are on the upthrown (hanging wall) block. Each geologic unit is assigned a set of letters to symbolize it on the map. Usually the symbol is the combination of a capital letter followed by one or more small letters. The capital letter represents the age (geologic period) of the unit. Examples include Q (Quaternary), K (Cretaceous), and C (Cambrian). The small letters indicate either the name of the unit, if it has one, or the type of rock, if the unit has no name. Many geologic units are named based on where their characteristics are bestdisplayed, or where they were first studied. For example, Jm is the map symbol for the Morrison formation, a stratigraphic unit of Jurassic age first studied near Morrison, Colorado but exposed throughout Colorado, Wyoming, and Utah (the Morrison formation is the source of many dinosaur fossils). Js would be unnamed shale (s for shale) that is Jurassic in age. Sedimentary rocks form in broad, flat layers (beds) that may later be tilted or bent by tectonic forces. The spatial orientation of tilted rock layers is described in terms of strike and dip. Strike is the compass direction of a line formed by the intersection of a horizontal plane (the surface of the Earth) and an inclined surface (the titled rock layer). Dip is the angle between a horizontal plane and the inclined surface and is always measured perpendicular to strike. On geologic maps " T " shaped-symbols are used show the strike and dip of each rock unit. The top of the "T" is the line of strike and the short arm of the " T " illustrates the dip direction in degrees. The higher the number, the steeper the bed with 90 being perpendicular to the surface (vertical). In the example h.

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