Use a graphing calculator or other technology to answer the question.
Which quadratic regression equation best fits the data set?
x y
3 470
4 416
5 403
6 226
7 314
8 338
9 693
Options:
yˆ=32.86x^2−379.14x+1369.14
y head equals 32.86 x squared minus 379.14 x plus 1369.14
yˆ=32.86x^2+379.14x−1369.14
y head equals 32.86 x squared plus 379.14 x minus 1369.14
yˆ=−1369.14x^2−379.14x+32.86
y head equals negative 1369.14 x squared minus 379.14 x plus 32.86
yˆ=32.86x^2−379.14x
To determine which quadratic regression equation best fits the data set, we can input the data points into a graphing calculator or other technology and analyze the regression equation with the highest R-squared value. This will indicate the strength of the relationship between the independent and dependent variables in the data set.
Based on the data provided, the best quadratic regression equation would be:
yˆ=32.86x^2−379.14x+1369.14
This equation provides the best fit for the data and has the highest R-squared value compared to the other options.