c) Determine and interpret the coefficient of determination. d) Determine the correlation coefficient. Interpret its value. How did you determine the sign of the correlation coefficient?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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B6. Pinan Insurance Company wants to study the relationship between the amount of fire damage and
the distance between the burning house and the nearest fire station. This information will be used in
setting rates for insurance coverage. For a sample of 30 claims for the last year, the director of the
actuarial department determined the distance from the fire station (x) and the amount of fire damage, in
thousands of dollars (y). The MegaStat output is reported below.
ANOVA table
Source
Regression
Residual
Total
Regression output
Variables
Intercept
Distance-X
Answer the following questions.
SS
1,864.5782
1,344.4934
3,209.07
Coefficients
12.3601
4.7956
df
1
28
29
MS
1,864.5782
48.0176
Std. Error
3.2915
0.7696
c) Determine and interpret the coefficient of determination.
F
38.83
t(df=28)
3.755
6.231
d) Determine the correlation coefficient. Interpret its value. How did you determine the sign of
the correlation coefficient?
Transcribed Image Text:B6. Pinan Insurance Company wants to study the relationship between the amount of fire damage and the distance between the burning house and the nearest fire station. This information will be used in setting rates for insurance coverage. For a sample of 30 claims for the last year, the director of the actuarial department determined the distance from the fire station (x) and the amount of fire damage, in thousands of dollars (y). The MegaStat output is reported below. ANOVA table Source Regression Residual Total Regression output Variables Intercept Distance-X Answer the following questions. SS 1,864.5782 1,344.4934 3,209.07 Coefficients 12.3601 4.7956 df 1 28 29 MS 1,864.5782 48.0176 Std. Error 3.2915 0.7696 c) Determine and interpret the coefficient of determination. F 38.83 t(df=28) 3.755 6.231 d) Determine the correlation coefficient. Interpret its value. How did you determine the sign of the correlation coefficient?
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