Here Is the Regression with Both Latitude and Longitude as Predictors

question 296

Essay

Here is the regression with both Latitude and Longitude as predictors: Dependent variable is: JanTemp
$R$ squared $= 74.1 \% \quad R$ squared (adjusted) $= 73.1 \%$
$\mathrm { s } = 7.000$ with $55 - 3 = 52$ degrees of freedom
$\begin{array} { l l l l l } \text { Source } & \text { Sum of Squares } & \text { df } & \text { Mean Square } & \text { F-ratio } \\ \text { Regression } & 7277.18 & 2 & 3638.59 & 74.2 \\ \text { Residual } & 2548.35 & 52 & 49.0067 & \\ & & & & \\ \text { Variable } & \text { Coefficient } & \text { SE(Coeff) } & \text { t-ratio } & \text { P-value } \\ \text { Intercept } & 98.5620 & 8.473 & 11.6 & \leq 0.0001 \\ \text { Lat } & - 2.16286 & 0.1776 & - 12.2 & \leq 0.0001 \\ \text { Long } & 0.134471 & 0.0641 & 2.10 & 0.0407 \end{array}$
The coefficient of Long in this regression differs from the coefficient of Long in the simple
regression of JanTemp on Long. What is the meaning of the coefficient of Long in this
regression? Are you confident ( $$( \text { at } \alpha = 0.05 )$$
that the coefficient is not zero? Why or why
not?

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Definitions:

Dizygotic

Pertaining to twins that develop from two different eggs fertilized by two different sperms, also known as fraternal twins.

Pluripotent

In development, a cell or group of cells that have not yet become fixed or determined as to what specific tissues they are going to become.

Totipotent

Describes cells with the capability to differentiate into any type of cell in an organism, including the development of a complete organism.

Differentiated

A state or process in which cells or tissues undergo a change from a less specialized form to a more specialized form, often acquiring distinct structural or functional features.