Construct a Residual Plot for the Given Data $\begin{array}{lllllllll} \hline x & 1 & 1 & 2 & 3 & 3 & 3 & 4 & 5 \\ \hline \mathrm{y} & 30 & 40 & 40 & 40 & 50 & 65 & 50 & 50 \\ \hline \end{array}$

question 8

Essay

Construct a residual plot for the given data.
-A grass seed company conducts a study to determine the relationship between the density of seeds planted (in pounds per 500 sq ft)and the quality of the resulting lawn. Eight similar plots of land are selected and each is planted with a particular density of seed. One month later the quality of each lawn is rated on a scale of 0 to 100. The sample data are given below, where x denotes seed density, and y denotes lawn quality. $\begin{array}{lllllllll} \hline x & 1 & 1 & 2 & 3 & 3 & 3 & 4 & 5 \\ \hline \mathrm{y} & 30 & 40 & 40 & 40 & 50 & 65 & 50 & 50 \\ \hline \end{array}$ $\hat { y } = 33.14 + 4.54 x$

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Definitions:

Jean Piaget

A Swiss psychologist known for his pioneering work in the field of developmental psychology, particularly for his theory of cognitive development in children.

Erik Erikson

A developmental psychologist known for his theory on the psychosocial development of human beings, which outlines eight stages from infancy to adulthood.

Sigmund Freud

This Austrian medical professional is credited with establishing psychoanalysis, where mental health conditions are treated by engaging patients in discussions with a psychoanalyst.

Infant Attachment

The emotional bond that develops between a young child and their caregiver, providing the child with emotional security.