True or False. PLEASE explain your reasoning. I have False for B, True for C, Tr

Question

True or False. PLEASE explain your reasoning.

I have False for B, True for C, True for D. Are these correct?

(a) If two categorical variables are independent, then the (b) The intercept for the linear regression line always has (c) If the sample correlation for linear regression is zero, confidence interval for the odds ratio will cover 0. a practical interpretation. that means there is no relationship at all between the explanatory and response variable. (d) If the sample correlation is zero, that means the esti- mated slope for the regression line will also be zero

Explanation / Answer

(a) false, (If interval contains 1, then categorical variables are independent)

(b) false, (some times intercept is negative and it is not possible to have negative value depenedent variable)

e,g, height and weight relationship,

(c) Ture, if sample correlation r is zero then there is no relationship between explanatory and response varible

as the r is funtion of regrestion coefficie t

(d) True, regression coefficient(b) is function of correlation(r) i.e b=r*sd(y)/sd(x) fo y=a+bx

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