Answer :
Answer:
ŷ = -0.18363X + 19.71681
-0.9685
Step-by-step explanation:
Given the data:
Mileage, x: 22 14 18 30 8 24
Price, y: 16 17 17 14 18 15
Using the online regression calculator :
The regression equation obtained is :
ŷ = -0.18363X + 19.71681
Where ;
y = predicted variable
- 0.18363 = slope or gradient
X = predictor variable
19.71681 = intercept
The correlation Coefficient R = -0.9685
This signifies a strong negative relationship between the x and y variable.
The line of best fit has an equation of:
y = -0.1875x + 19.625
A linear equation is given by:
y = mx + b;
where y, x are variables, m is the slope of the line and b is the y intercept.
Let x represent the mileages (in thousands of miles) and y the selling prices(in thousands of dollars) of used automobiles.
Plotting the points using geogebra graphing calculator, the line of best fit has an equation of:
y = -0.1875x + 19.625
Therefore the slope is -0.1875 and the y intercept is 19.625
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