Answer: Intercept (b) = - 2.2567
Step-by-step explanation:
(−17,8), (−14,7), (−11,6), (−12,4), (−10,1), (−7,3), (−3,2), (−3,0), (−2,−4), (0,−2), (2,−3), (6,−5), (4,−6)
Using the online regression calculator :
ŷ = -0.60205X - 2.2567
y is the predictor variable
X - the independent variable
0.60205 = slope or gradient
- 2.2567 = intercept (b) where the line best fit cross the y-axis.
The linear regression line is made using the least-squares method. The value of b is -2.2567.
Firstly, there is a data set. Then, we try to fit a line which will tell about the linear trend. This line is made using the least-squares method.
Given the points of the data(−17,8), (−14,7), (−11,6), (−12,4), (−10,1), (−7,3), (−3,2), (−3,0), (−2,−4), (0,−2), (2,−3), (6,−5), (4,−6).
Now, Since the question states about using the technology, therefore, if we use the online regression calculator:
ŷ = -0.60205X - 2.2567
y is the predictor variable
X - the independent variable
-0.60205 is the value of m which is the slope or gradient of the regression line, while -2.2567 is the value of the intercept of the regression line.
Hence, the value of b is -2.2567.
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