Compare the panel (a), (b) and (c). Suppose these figures were made by four inde

Question

Compare the panel (a), (b) and (c). Suppose these figures were made by four independent groups. They all measured the same X and Y using the same apparatus. If the slope of the best fit line shown in these figures are (a) +0.00011 (b) -0.00015 and (c) -0.000004. You would conclude X and Y have a linear relationship, consistently shown in all the four cases. X and Y are likely dependent of each and are correlated. X and Y are likely independent of each other and are not correlated. X and Y have a linear relationship, but could have either positive or negative slope.

Explanation / Answer

Solution:

Option-B

There's always some slope(Negative or positive) that implies x and y are correlated by one or the other means.

and as y is found by the mid point with every constant interval of x => x and y are dependent on each other!

y = mx + c

y depends on x in case of a linear graph(m-slope, is negative or positive)

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