d-1. Determine the corelstion coefficient (Round your answer to 3 decimal plsces.) Comaiation cnofficiont d-2 Choose the rigint option. There isa tary solid dract Enk botwan the vatables. d-3. Haw did you determine the sign of the corre ation coefficient? It ia postive pocause the slopeis positive e-1. Stste the decision rule for 0.01 significance level: Ho:p-0; :p= 0. INegative value should be Indicated by a minus sign. Round your answers to 3 decimal places) Rojact HO Itte ort e-2 Compute the velue of the test statistic. (Round your snswer to 2 decimel places.) Value of the tost shatic

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Waterbury 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
clalms for the last year, the director of the actuarlal department determined the distance from the fire station (X) and the amount of fire
damage, In thousands of dollars (. The MegaStat output is reported below.
ANOVA table
Source
S
df
MS
Regression 1,835.5782
1 1,835.5782 40.45
Residual
1,270.4934 28
45.3748
Total
3,106.0716 29
Regression output
Variables
Coefficients
Std. Error
tidf=28)
Intercept
13.985
3.1125
2.34
Distance-X
5.5828
0.8778
6.36
Click here for the Excel Data File
a-1. Write out the regression equation. (Round your answers to 3 decimal places.)
13.985+
5.583 x
a-2 Is there a direct or Indirect relationship between the distance from the fire station and the amount of fire damage?
The relationship between distance and damage is direct
b. How much damage would you estimate for a fire 7 mles from the nearest fire statlon? (Round your answer to the nearest dollar
amount.)
Estimated damage
53,000
Transcribed Image Text:Waterbury 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 clalms for the last year, the director of the actuarlal department determined the distance from the fire station (X) and the amount of fire damage, In thousands of dollars (. The MegaStat output is reported below. ANOVA table Source S df MS Regression 1,835.5782 1 1,835.5782 40.45 Residual 1,270.4934 28 45.3748 Total 3,106.0716 29 Regression output Variables Coefficients Std. Error tidf=28) Intercept 13.985 3.1125 2.34 Distance-X 5.5828 0.8778 6.36 Click here for the Excel Data File a-1. Write out the regression equation. (Round your answers to 3 decimal places.) 13.985+ 5.583 x a-2 Is there a direct or Indirect relationship between the distance from the fire station and the amount of fire damage? The relationship between distance and damage is direct b. How much damage would you estimate for a fire 7 mles from the nearest fire statlon? (Round your answer to the nearest dollar amount.) Estimated damage 53,000
d-1. Determine the correlstion coefficient (Round your answer to 3 decimal plsces.)
Comaiation cootficiant
d-2 Choose the rigint option.
Thene is a tainy solid drect
Enk botwan the vaiables.
d-3. Haw did you determine the sign of the correlation coefficient?
It is postive
bocnuse the slopeis positive
e-1. Stste the decision rule for 0.01 significance level: Ho:p-0; :p= 0. INegative value should be Indicated by a minus sign.
Round your answers to 3 decimal plsces.)
Rajact HO Itte
ort>
e-2 Compute the velue of the test statistic. (Round your snswer to 2 decimel places.)
Valuo of the tasI stataic
Transcribed Image Text:d-1. Determine the correlstion coefficient (Round your answer to 3 decimal plsces.) Comaiation cootficiant d-2 Choose the rigint option. Thene is a tainy solid drect Enk botwan the vaiables. d-3. Haw did you determine the sign of the correlation coefficient? It is postive bocnuse the slopeis positive e-1. Stste the decision rule for 0.01 significance level: Ho:p-0; :p= 0. INegative value should be Indicated by a minus sign. Round your answers to 3 decimal plsces.) Rajact HO Itte ort> e-2 Compute the velue of the test statistic. (Round your snswer to 2 decimel places.) Valuo of the tasI stataic
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