Question

if the coefficient of determination is a positive value very near to one, then the regression equation

a. could either have a negative or positive slope
b. must have a positive y-intercept
c. must have a negative slope
d. must have a positive slope

Answer 1

Answer:

The coefficient of determination, which can be any value from -1 to 1, denotes the strength and direction of the relationship between the x-value and the y-value. ... Positive coefficients of determination indicate that there is a positive relationship- y generally increases with x.

Answer 2

Answer:

The correct answer is option (d)

The regression equation must have a positive slope.

Step-by-step explanation:

• The value can vary from -1 to 1 in coefficient of determination which denotes the strength and direction.
• The relationship between the x-value and y-value can be explained by the strength and direction.
• The weak and non resistant relationship is determined if the coefficient of determination is zero.
• The positive relationship gives Positive coefficient determination where Y increases with X.
• The negative relationship give the determination of negative coefficient where Y decreases with X.
• The positive relationship is explained by the positive slope where Y increases with X.
• The negative relationship is explained by the negative slope where Y decreases with X increases.

Answer : If the coefficient of determination is a positive value very near to one, then the regression equation must have a positive slope.

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