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determine the equation for the line of best fit (round all values to the nearest hundredth)

Question

Determine the equation for the line of best fit (round all values to the nearest hundredth)

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Solution

To determine the equation for the line of best fit, you need to follow these steps:

  1. Gather your data points. You need at least two points to draw a line, but the more data points you have, the more accurate your line of best fit will be.

  2. Calculate the mean (average) of your x-values and the mean of your y-values.

  3. Subtract the mean of x from each x value (x - mean of x) and do the same for y.

  4. Multiply the results from step 3 together (product of differences) and sum them up (Σ).

  5. Square the results from step 3 for x-values (square of differences) and sum them up (Σ).

  6. Calculate the slope (m) of the line using the formula: m = [Σ(product of differences)] / [Σ(square of differences for x)].

  7. Calculate the y-intercept (b) using the formula: b = mean of y - m(mean of x).

  8. Write down the equation of the line of best fit in the form y = mx + b.

Remember to round all values to the nearest hundredth as per the instructions.

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