Let X Be the Number of Pieces of Furniture in a Delivery

question 34

Essay

Let x be the number of pieces of furniture in a delivery truck and y be the time (in hours) it takes the delivery person to deliver all the pieces of furniture. A simple linear regression analysis related x and y where the least squares estimates of the regression parameters are a = 1.85 and b = 0.55.
What is the least squares best-fitting regression line? = ______________
What is the slope of the equation?
______________
Interpret the slope of the equation. Does a positive slope make practical sense? Justify your answer.
________________________________________________________
What is the y-intercept?
______________
Interpret the y-intercept, does this make sense?
________________________________________________________
Use the least squares regression line to estimate the time it should take to deliver 10 pieces of furniture. (You may assume that 10 is in the range of the data.)
______________ (hours)

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Definitions:

Monocot

A classification of flowering plants (angiosperms) characterized by seeds with a single embryonic leaf or cotyledon.

Secondary Tissues

Plant tissues that arise from secondary growth, including secondary xylem (wood) and phloem, contributing to increased thickness of stems and roots.

Melanin

A dark pigment present in many animals; contributes to the color of the skin.

Lignin

A complex organic polymer deposited in the cell walls of many plants, making them rigid and woody, and contributing to the structural integrity of the plant.