The marketing manager of a large supermarket chain would like to determine the e
ID: 3372005 • Letter: T
Question
The marketing manager of a large supermarket chain would like to determine the effect of shelf space (in feet) on the weekly sales of international food (in hundreds of dollars). A random sample of 12 equal –sized stores is selected, with the following results: Store Shelf Space(X) Weekly Sales(Y) 1 10 2.0 2 10 2.6 3 10 1.8 4 15 2.3 5 15 2.8 6 15 3.0 7 20 2.7 8 20 3.1 9 20 3.2 10 25 3.0 11 25 3.3 12 25 3.5 Based on these data, what are the least squares regression coefficients of the Y-intercept (a) and slope (b)? Place your answers, rounded to 3 decimal places , in the blanks provided.
Explanation / Answer
The statistical software output for this problem is:
Simple linear regression results:
Dependent Variable: y
Independent Variable: x
y = 1.48 + 0.074 x
Sample size: 12
R (correlation coefficient) = 0.82700064
R-sq = 0.68393006
Estimate of error standard deviation: 0.30805844
Parameter estimates:
Analysis of variance table for regression model:
Hence,
a = 1.48
b = 0.074
Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept 1.48 0.29224989 ? 0 10 5.0641593 0.0005 Slope 0.074 0.015908069 ? 0 10 4.6517273 0.0009Related Questions
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