If the LSRL relating the independent variable x and the dependent variable y for

Question

If the LSRL relating the independent variable x and the dependent variable y for a given problem is y = 2x + 4, then an increase of 1 unit in x is associated with an increase of how many units in y? 2 1 4 6 0 If the correlation between body weight and annual income were high and positive, we could conclude that: low incomes cause people to eat more food. high-income people tend to spend a greater proportion of their income on food than low-income people. high incomes cause people to gain weight. high incomes cause people to eat more food. high-income people tend to be heavier than low-income people.

Explanation / Answer

FIRST QUESTION ANSWER (a)

EXPLANATION: IN THE LINEAR REGRESSION MODEL, Y = a + bX, b REPRESENTS THE CHANGE IN y PER UNIT INVREASE IN X.

Q8

A POSITIVE CORRELATION IMPLIES BOTH VARIABLES MOVE IN THE SAME DIRECTION. i.e., IF X INCREASES, Y ALSO INCREASES AND IF X DECREASES, Y ALSO DECREASES. SO IF WEIGHT AND INCOME HAVE A POSITIVE CORRELATION, THEN HIGHER INCOME PEOPLE TEND TO BE HEAVIER THAN LOWER INCOME PEOPLE. SO, OPTION (e)

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