Brenda collected this data from an experiment. Hours of Sunlight (t) 3 5 7 9 11 13
Height in inches (h) 2.3 3.3 3.9 6.1 7.0 8.4
For the line of fit h = 0.6t + 0.44, what is the residual (difference) of the data point at = 7?

Given:

The data table of an experiment.

Equation of best fit line is

To find:

The residual (difference) of the data point at t = 7.

Solution:

From the given table, it is clear that the value of h is 3.9 at t =7.

So, observed value is 3.9.

Equation of best fit line is

Putting t = 7, we get

So, the estimated value is 4.64.

Residual formula:

Residual = Observed value - Estimated value

              =

              =

Therefore, the residual value of the data point at t = 7 is -0.74.

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step-by-step explanation:

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