Question

16 multiple choice 4 points the table below shows the average daily temperature, in degrees fahrenheit, for select days in april for townsville. townsvilles average daily temperature which of the following is closest to the line - of - best fit for the data? $y = \frac{13}{3}x + 72$ $y = \frac{1}{4}x + 72$ $y = 4x + 68$ $y = \frac{1}{5}x + 68$

Explanation:

Step1: Calculate the slope (m) using two points

Take two points, say (1,72) and (30,79).
The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
\(m=\frac{79 - 72}{30 - 1}=\frac{7}{29}\approx\frac{1}{4}\)

Step2: Check the y - intercept (b)

Using the point - slope form \(y - y_1=m(x - x_1)\) with the point (1,72) and \(m=\frac{1}{4}\)
\(y-72=\frac{1}{4}(x - 1)\)
\(y=\frac{1}{4}x-\frac{1}{4}+72\)
\(y=\frac{1}{4}x + 71.75\approx\frac{1}{4}x+72\)

Answer:

\(y = \frac{1}{4}x + 72\)