In a Forensic Study of the Relation Between Time Since

question 5

Essay

In a forensic study of the relation between time since death (hrs) and the nostril temperature in deer (F) , a regression analysis of y = time since death on x = nostril temperature was performed. Summary quantities from this analysis yield: n = 384 S_xx = 49,999.464 s_e = 1.997 ​
a) Calculate the estimated standard deviation of a + bx* for x* = 80.
b) For what value x* is the estimated standard deviation of a + bx* smallest, and why?

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Definitions:

Linear Regression Equation

An equation that models the linear relationship between a dependent variable and one or more independent variables.

Pearson r

A measure of the linear correlation between two variables, ranging from -1 (perfect negative correlation) to +1 (perfect positive correlation).

Number of Crimes

The total incidents of criminal activities recorded in a given area within a specific timeframe.

Y-Intercept

The point where a line or curve meets the y-axis of a graph.