Number of households per drop-off point Amount of non- (x, -x) (Y, -Y) (x; - x)(Y, – Y) disposed food waste per household (kg/week) Yi Xị 387.5 4.0 7656.25 0.25 43.75 337.5 3.2 1406.25 0.09 -11.25 187.5 2.5 12656.25 1.00 112.50 412.5 5.0 12656.25 2.25 168.75 175.0 2.8 15625 0.49 87.50 Σ1500 Σ17.5 Σ = 50000 Ej = 4.08 Ej = 401.25 Camille also calculated the slope of the fitted regression line: estimated slope whether or not the availability of drop-off points in the neighborhood has a linear effect on the amount of non-disposed food waste per household. Use a = 0.10. = 0.008. Test

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Drop-off points (points de collecte in French), where residents can dispose of their organic waste
for composting, were established in each of the five targeted neighborhoods of PROBLEM 1.
Camille wants to see whether or not there exists a relationship between the average weekly amount
of non-disposed food waste per household and the availability of drop-off points in the
neighborhood, expressed as the number of households per drop-off point (considered fixed). Her
data and some of her preliminary calculations are presented below:
Number of
Amount of non-
(x, – x)*
(Y, -Y)
(x; - x)(Y, – Y)
households per
drop-off point
disposed food waste per
household (kg/week)
Yi
Xi
387.5
4.0
7656.25
0.25
43.75
337.5
3.2
1406.25
0.09
-11.25
187.5
2.5
12656.25
1.00
112.50
412.5
5.0
12656.25
2.25
168.75
175.0
2.8
15625
0.49
87.50
E; = 1500
Σ 17.5
E; = 50000
Σ -4.08
Ej = 401.25
2) Camille also calculated the slope of the fitted regression line: estimated slope = 0.008. Test
whether or not the availability of drop-off points in the neighborhood has a linear effect on the
amount of non-disposed food waste per household. Use a =
: 0.10.
Transcribed Image Text:Drop-off points (points de collecte in French), where residents can dispose of their organic waste for composting, were established in each of the five targeted neighborhoods of PROBLEM 1. Camille wants to see whether or not there exists a relationship between the average weekly amount of non-disposed food waste per household and the availability of drop-off points in the neighborhood, expressed as the number of households per drop-off point (considered fixed). Her data and some of her preliminary calculations are presented below: Number of Amount of non- (x, – x)* (Y, -Y) (x; - x)(Y, – Y) households per drop-off point disposed food waste per household (kg/week) Yi Xi 387.5 4.0 7656.25 0.25 43.75 337.5 3.2 1406.25 0.09 -11.25 187.5 2.5 12656.25 1.00 112.50 412.5 5.0 12656.25 2.25 168.75 175.0 2.8 15625 0.49 87.50 E; = 1500 Σ 17.5 E; = 50000 Σ -4.08 Ej = 401.25 2) Camille also calculated the slope of the fitted regression line: estimated slope = 0.008. Test whether or not the availability of drop-off points in the neighborhood has a linear effect on the amount of non-disposed food waste per household. Use a = : 0.10.
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