I know the answers but why is it those answers If the sample

I know the answers but why is it those answers?

If the sample correlation between two variables is zero, then one can conclude that: there is no statistically significant relationship between x and y. there is a quadratic relationship between x and y. there is no statistically significant linear relationship between x and y. relationships between x and y are, shall we say, \"difficult.\" none of the above. If the simple linear regression of a response variable y on a predictor variable x has a statistically significant positive slope, then the sample correlation for the two variables: is one. is positive. is negative. all of the above may be true. none of the above.

Solution

17)

answer - c)

Correlation is the measure of linear relationship between two variables. So, a correlation of 0 means they are not linearly related. HOwever they may be related in other form such as exponential or quadratic or anything else.

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18)

Answer - b) positive.

If the positive sloope i sisgnificant that means the depndent variable increases with increase in independent variable. Hence correlation must also be positive.