Question

Use technology to find an equation of the line of best fit for the data. round the slope and the y-intercept to the nearest hundredth. y- 2,-3,16,8,12,-1,21 x-1,5,-4,0-2,3-7

a) y=2.15x+6.79
b) y=−2.03x+9.47
c) y=1.94x+7.23
d) y=−1.87x+10.14

Answer 1

The equation of the line of best fit for the given data is y = 1.94x + 7.23 (option c).

Step-by-step explanation:

The equation of the line of best fit for the given data is y = 1.94x + 7.23 (option c). To find the equation, we can use the least-squares regression method. First, we calculate the slope, m, which is approximately 1.94. Then, we calculate the y-intercept, b, using the formula b = sum of median y values - (slope * sum of median x values) / 3. Substituting the given values, we find b to be approximately 7.23. Thus, the equation of the line of best fit is y = 1.94x + 7.23.