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Sagot :
The regression equation of sales of coffee is ŷ = -22.7x + 130.3, and the regression equation of sales of tea is ŷ = -22.7x + 119.0
How to determine the regression equations of the drinks?
The dataset of coffee is given as:
Price: 1.50 2.20 2.70 2.50 2.90 2.00 1.60 2.10 3.00 1.80
Sales: 96 79 70 73 64 85 94 83 63 91
Using a graphing calculator, we have the following calculation summary:
- Sum of X = 22.3
- Sum of Y = 798
- Mean X = 2.23
- Mean Y = 79.8
- Sum of squares (SSX) = 2.521
- Sum of products (SP) = -57.14
- b = SP/SSX = -57.14/2.52 = -22.7
- a = MY - bMX = 79.8 - (-22.67*2.23) = 130.3
The regression equation is represented as:
ŷ = bx + a
So, we have:
ŷ = -22.7x + 130.3
The dataset of tea is given as:
Price: 2.40 1.50 1.10 1.60 2.50 1.30 1.00 1.70 2.20 2.00
Sales: 64 85 94 83 63 91 96 79 70 73
Using a graphing calculator, we have the following calculation summary:
- Sum of X = 17.3
- Sum of Y = 798
- Mean X = 1.73
- Mean Y = 79.8
- Sum of squares (SSX) = 2.521
- Sum of products (SP) = -57.14
- b = SP/SSX = -57.14/2.52 = -22.7
- a = MY - bMX = 79.8 - (-22.67*1.73) = 119.0
The regression equation is represented as:
ŷ = bx + a
So, we have:
ŷ = -22.7x + 119.0
Hence, the regression equation of sales of coffee is ŷ = -22.7x + 130.3, and the regression equation of sales of tea is ŷ = -22.7x + 119.0
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