Question

A sample of 14 vans was taken, and the miles per gallon to weight was recorded. The computer output for regression is below: Table with columns labeled coefficients, standard error, t stat, p-value. Rows labeled intercept and MPG. Data in intercept row is 4167.54872, 393.7449252, 10.58438713, 1.93233 E to the power of negative 7. Data in the MPG row is negative 55.31376491, 13.76636743, negative 4.018036362, 0.001705468. What is the equation of the regression line? y hat equals 393.74 minus 13.77 times x y hat equals 13.77 minus 393.74 times x y hat equals 4167.55 minus 55.31 times x y hat equals 10.58 minus 4.02 times x

Answer 1

The equation of the regression line is î = 4167.54872 - 55.31376491*x, using the provided intercept and slope from the regression output. Therefore correct option is C

Step-by-step explanation:

The student has provided the output of a regression analysis and is asking to construct the equation of the regression line from the given coefficients. We can find the equation by using the general formula of a regression line, which is î = b0 + b1*x, where b0 is the y-intercept and b1 is the slope of the line. According to the provided coefficients, the intercept (b0) is 4167.54872, and the slope (b1) for MPG is -55.31376491. Therefore, the equation of the regression line is î = 4167.54872 - 55.31376491*x.

A sample of 14 vans was taken, and the miles per gallon to weight was recorded. The computer output for regression is below: Table with columns labeled coefficients, standard error, t stat, p-value. Rows labeled intercept and MPG. Data in intercept row is 4167.54872, 393.7449252, 10.58438713, 1.93233 E to the power of negative 7. Data in the MPG row is negative 55.31376491, 13.76636743, negative 4.018036362, 0.001705468. What is the equation of the regression line?

A)y hat equals 393.74 minus 13.77 times x B)y hat equals 13.77 minus 393.74 times x

C)y hat equals 4167.55 minus 55.31 times x D)y hat equals 10.58 minus 4.02 times x