You want to find the linear relation between the number of X-ray machines purchased at one time and the cost per machine. The following data has been obtained on the same: X: Number of machines purchased 1 3 6 10 15 Y: Cost per widget (in thousand rupees) 89 85 79 73 64 Suppose the R² between X and Y is 0.87. Which of the following conclusions can you draw from this?
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Answer:
The Linear Regression Equation
The equation has the form Y= a + bX, where Y is the dependent variable (that's the variable that goes on the Y axis), X is the independent variable (i.e. it is plotted on the X axis), b is the slope of the line and a is the y-intercept.
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Answer:
The linear relation between X and Y is strong, and their correlation will be negative.
Explanation:
A higher value of R² means a strong linear relation. As Y is decreasing with the increasing value of X, you can conclude that their correlation will be negative.
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