Instructions: Determine the equation of line of best fit for the data. Write your equation in y=𝑦= form. Do NOT include spaces in your answer.x𝑥y𝑦2244557710101212131315151515171720202222Equation:
Question
Instructions: Determine the equation of line of best fit for the data. Write your equation in y=𝑦= form. Do NOT include spaces in your answer.x𝑥y𝑦2244557710101212131315151515171720202222Equation:
Solution
To find the equation of the line of best fit, we need to calculate the slope (m) and the y-intercept (b) for the given data points.
- Calculate the mean of x (x̄) and y (ȳ) values.
- Calculate the differences between each x value and the mean of x (x - x̄), and each y value and the mean of y (y - ȳ).
- Multiply these differences together for each data point and sum them up (∑(x - x̄)(y - ȳ)).
- Square the differences between each x value and the mean of x and sum them up (∑(x - x̄)²).
- The slope (m) is given by the formula m = ∑(x - x̄)(y - ȳ) / ∑(x - x̄)².
- The y-intercept (b) is given by the formula b = ȳ - m*x̄.
- Substitute m and b into the equation y = mx + b to get the equation of the line of best fit.
Please note that the actual calculation requires the specific x and y values, which are not provided in the question.
Similar Questions
Activity (continued from previous page)4. Turn off Show least-squares fit line. Click New r, andsketch the scatter plot to the right.What is the value of r?Turn on Fit a line. Use the slope (m) and y-intercept (b)sliders to estimate the line that fits this data set best.Sketch your line and record its equation below.Equation of estimated line:Check your estimate by turning on Show least-squares fit line. Record the equation for theactual least-squares fit line.Least-squares fit line equation: Was your estimate close?
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