Determine 95% prediction limits for prediction limits for the price, Y, when the quality is when X = 63.7 and 95% confidence limits for b (the slope of the least squares line)

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Author:Amos Gilat
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Determine 95% prediction limits for prediction limits for the price, Y, when the quality is when X = 63.7 and 95% confidence limits for b (the slope of the least squares line).

In this study n = 10 brands of wine were measured on a scale 0 – 100 for quality.
The price per bottle for each brand was also determined. The data are displayed in
the table below:
Brand
Quality
4 5
21.2 67.2 67.4 42.5 52.6 | 28.6 | 70.1 | 44.1 | 54.4 | 50.2
16.53 26.77 28.81 20.65 17.3 13.18| 16.22|21.72| 15.7 | 17.28
2
3
6 7 8
9
10
Price
10
10
10
10
10
Ex, = 498.3., Ex = 27237.23, Ey, = 194.16, Ey = 3999.25, x,y; = 10072.137
i=1
i=1
i=1
i=1
i=l
Transcribed Image Text:In this study n = 10 brands of wine were measured on a scale 0 – 100 for quality. The price per bottle for each brand was also determined. The data are displayed in the table below: Brand Quality 4 5 21.2 67.2 67.4 42.5 52.6 | 28.6 | 70.1 | 44.1 | 54.4 | 50.2 16.53 26.77 28.81 20.65 17.3 13.18| 16.22|21.72| 15.7 | 17.28 2 3 6 7 8 9 10 Price 10 10 10 10 10 Ex, = 498.3., Ex = 27237.23, Ey, = 194.16, Ey = 3999.25, x,y; = 10072.137 i=1 i=1 i=1 i=1 i=l
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