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)
Solution
To determine the equation for the line of best fit, you need to follow these steps:
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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.
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Calculate the mean (average) of your x-values and the mean of your y-values.
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Subtract the mean of x from each x value (x - mean of x) and do the same for y.
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Multiply the results from step 3 together (product of differences) and sum them up (Σ).
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Square the results from step 3 for x-values (square of differences) and sum them up (Σ).
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Calculate the slope (m) of the line using the formula: m = [Σ(product of differences)] / [Σ(square of differences for x)].
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Calculate the y-intercept (b) using the formula: b = mean of y - m(mean of x).
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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.
Similar Questions
Ten randomly selected college graduates completed a survey asking for their graduating high school GPA and their graduating college GPA. The table below shows the results of the survey.1) Using your calculator, determine the equation for the line of best fit (round all values to the nearest hundredth)
Round each amount to the nearest hundred to find an estimate of:3891 ÷ 289 A. 13 B. 20 C. 130 D. 200
A whole number when rounded to the nearest hundred is 900.What is the greatest possible value of this number?Use the number line below to help you.
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