Question

The table shows the temperature of an amount of water set on a stove to boil, recorded every half minute.

A 2-row table with 10 columns. The first row is labeled time (minutes) with entries 0, 0.5, 1.0, 1.5, 2.0, 2.5, 3.0, 3.5, 4, 4.5. The second row is labeled temperature (degrees Celsius) with entries 75, 79, 83, 86, 89, 91, 93, 94, 95, 95.5.

According to the line of best fit, at what time will the temperature reach 100°C, the boiling point of water?

5
5.5
6
6.5.

Answer 1

According to the given table the line of best fit is

f(x)=4.54x+77.84

The term "line of best fit" describes a line that passes across a scatter plot of data points and best captures their connection. Statisticians often utilise regression analysis software or manual computations to arrive at the geometric equation for the line using the least squares approach. A straightforward linear regression study of two or more independent variables will provide a straight line. 

Hence, as asked by the question we need to find the time at which the tempurature will become 100°C.

To find that let us put f(x)=100 and find out the value of x for which it is satisfied.

4.54x+77.84=100

⇒$x=\frac{100-77.84}{4.54}=4.88$

⇒x≈5

Therefore the time at which the tempurature is 100°C is 5 minutes.

Learn more about "line of best fit" here-

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