The Formula for Converting from Celsius Temperatures, C, to Fahrenheit

question 98

Essay

The formula for converting from Celsius temperatures, C, to Fahrenheit temperatures, F, is F = C + 32.
a) If you were to plot a graph of F vs. C, what would be the slope and F-intercept of the line?
b) The slope represents the change in F per unit change in
C. Use the value of the slope to determine the increase in Fahrenheit temperature corresponding to a 10 Celsius-degree rise.
c) Rearrange the given formula to obtain a formula for converting from Fahrenheit temperatures to Celsius temperatures. What would be the slope and C-intercept if C vs. F were plotted on a graph?

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Definitions:

Approximately Normal

Describes a distribution that closely follows a normal distribution curve, often used as an assumption in parametric statistical tests.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, indicating how much the values in the data set deviate from the mean.

Sampling Distribution

The statistical probability distribution originating from a random sample, aimed at facilitating inferences concerning the population.

Spread Out

Describes how much a dataset is stretched or compressed, indicating the variability or dispersal of the data points.