Comment on the statement The two coefficients for the line o

Comment on the statement “The two coefficients for the line of best fit have the same sign.” as sometimes true, always true, or never true. Explain your response if your answer is “sometimes true” or “never true

Solution

Answer: Sometimes True.

If the both variables have same sign either +ive or –ive, then both variables have same direction or positive correlation.. If both variables have different sign then it means they are negative correlated.

Therefore the statement \"the two coefficients for the line of best fit have the same sign.\" is sometimes true. This is only for +ive correlation.