Question

is consider a situation where two variables appear to have nearly a linear relationship, meaning that the points in a scatter plot roughly follow a straight-line pattern. If the dependent, or response, variable increases as the independent, or explanatory, variable increases, then the linear pattern would have a: (A) Negative slope (B) Positive slope (C) Zero slope (D) An undefined slope 19. The value of r, the correlation coefficient for a sample, always takes on values between: (A) 0 and 1 only (B) - 1 and 0 only (C)-5 to +5 (D) - 1 to +1

Answer 1

1) Answer:

Consider,

X:Explanatory variable or independent variable

Y:Response variable or dependent variable.

Given that, there is linear relationship between two variable. Since if Y increases X also increases.

Therefore there is positive correlation between x and y. Therefore slope must be positive.

(B). Positive Slope.

2) Answer:

Value of the correlation coefficient (r)between always lies between -1 to +1

If r is negative then there is negative correlation between x and y

If r is positive there is positive correlation between x and y

If r = 0 then there is no relationship between x and y

(D). -1 to +1