Respuesta :
The correlation between variables (r) = 0.959, and signifies a positive relationship between the variables.
What is correlation?
The correlation of two pairs of data values tells about the degree of movement(along or opposite) that can occur in one of the data values when other data value is increased or decreased respectively.
The pertinent data are:
Period Fertilizer Sales Number of Mowers Sold
1 1.6 12.0
2 1.3 10.0
3 1.8 13.0
4 2.0 15.0
5 2.2 15.0
6 1.5 11.0
7 1.6 12.0
8 1.4 10.0
9 1.8 13.0
10 1.4 10.0
11 1.9 15.0
12 1.4 11.0
13 1.7 14.0
14 1.4 13.0
To determine the correlation between the two variables
Regression equation ( y ) = a + bx
y = dependent variable ( mower )
x = independent variable ( fertilizer)
a = intercept point ( y-axis and regression line )
b = slope ( regression line )
From the given data;
N = 14 , Σ x = 22.8,
Σy = 131, Σy^2 = 1269,
Σx^2 = 38.18, (Σx)^2 = 519.84
Σxy = 219.8, (Σy)^2 = 17161
Hence, The correlation between variables (r) = 0.959, and signifies a positive relationship between the variables.
Learn more about coefficient of a determination here:
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