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Taxi Tires a Taxi Company Monitoring the Safety of Its =360.6= 36 - 0.6

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Taxi tires A taxi company monitoring the safety of its cabs kept track of the number of
miles tires had been driven (in thousands) and the depth of the tread remaining (in mm).
Their data are displayed in the scatterplot. They found the equation of the least squares regression line to be tread =360.6= 36 - 0.6 miles, with r2=0.74r ^ { 2 } = 0.74 .
 Taxi tires A taxi company monitoring the safety of its cabs kept track of the number of miles tires had been driven (in thousands) and the depth of the tread remaining (in mm). Their data are displayed in the scatterplot. They found the equation of the least squares regression line to be tread  = 36 - 0.6  miles, with  r ^ { 2 } = 0.74 .    a. Draw the line of best fit on the graph. (Show your method clearly.) b. What is the explanatory variable? c. The correlation  r =  d. Describe the association in context. e. Explain (in context) what the slope of the line means. f. Explain (in context) what the  y -intercept of the line means. g. Explain (in context) what  R ^ { 2 }  means. h. In this context, what does a negative residual mean?

a. Draw the line of best fit on the graph. (Show your method clearly.)
b. What is the explanatory variable?
c. The correlation r=r =
d. Describe the association in context.
e. Explain (in context) what the slope of the line means.
f. Explain (in context) what the yy -intercept of the line means.
g. Explain (in context) what R2R ^ { 2 } means.
h. In this context, what does a negative residual mean?

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Definitions:

Neurotransmitters

Neurotransmitters are chemical messengers that transmit signals across a chemical synapse from one nerve cell to another, or to a muscle or gland cell.

Synaptic Vesicles

Membrane-bound sacs in the neuron's terminal bulb that store neurotransmitters ready for release at the synapse.

Presynaptic Membrane

The part of the neuron that faces the synaptic cleft and is responsible for the release of neurotransmitters to signal adjacent neurons.

Depolarization

A decrease in the charge difference across a plasma membrane; may result in an action potential in a neuron or muscle cell.

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