Question

Next Question Question Help The scatter diagram for the data set below is shown. (a) Determine the least-squares regression line. (b) Graph the least-squares regression line on the scatter diagram. X y 0 7.1 0 5.8 7 5.2 4.8 3.7 Pra (a) 9 = x+ (Round to three decimal places as needed.) (b) Choose the correct graph of the least-squares regression line below. Mic OB Ос. Q Pra 1 X Fir SG Click to select your answer(s).

Answer 1

Solution:

X Values Y Values 7.1 5.8 5.2 4.8 3.7 M: 2 M: 5.6

X - MX y- My (X-Mx)2 (X - MX/Y - My) OOOAANU 000 AAA SS: 18 SP: -10.6

Sum of X = 12 Sum of Y = 33.6 Mean X= 2 Mean Y = 5.6 Sum of squares (55x) = 18 Sum of products (SP) = -10.6 Regression Equation = 9 = bx + a b = SPISSx= -10.6/18 = -0.58889 a = My - DMX = 5.6-(-0.59* 2) = 6.77778 y = -0.58889X+ 6.77778
The least sqare regresstion line is Y^=-0.58889X+6.77778

b) least square regression on scatter diagram

Y- Dependent X - Independent - Regression Line ( -0.59X +6.78)

option A