Consider the following set of ordered pairs. x 5 2 2 2 8 5 y 5 7 7 5 2 7 a) Calc
ID: 3228145 • Letter: C
Question
Consider the following set of ordered pairs. x 5 2 2 2 8 5 y 5 7 7 5 2 7 a) Calculate the slope and the y-intercept for the regression equation. b) Calculate the SST. c) Partition the SST into the SSR and the SSE. a) Calculate the slope and the y-intercept for the regression equation. The slope is b = (Round to four decimal places as needed.) The intercept is a = (Round to four decimal places as needed.) b) Calculate the SST. SST = (Round to three decimal places as needed.) c) Partition the SST into the SSR and the SSE. SSE = (Round to three decimal places as needed.) SSR = (Round to three decimal places as needed.)Explanation / Answer
The statistical software output for this problem is:
Simple linear regression results:
Dependent Variable: y
Independent Variable: x
y = 7.9 - 0.6 x
Sample size: 6
R (correlation coefficient) = -0.74420841
R-sq = 0.55384615
Estimate of error standard deviation: 1.4747881
Parameter estimates:
Analysis of variance table for regression model:
Hence,
a) b = -0.6
a = 7.9
b) SST = 19.5
c) SSE = 8.7
SSR = 10.8
Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept 7.9 1.2338963 0 4 6.4024831 0.0031 Slope -0.6 0.26925824 0 4 -2.2283441 0.0898