I. The variable y is strongly positive correlated to the variable x. II. The var
ID: 3359084 • Letter: I
Question
I. The variable y is strongly positive correlated to the variable x.
II. The variable y is strongly negative correlated to the variable x.
III. If x = 5, one would predict that y = 17.
IV. If x = 5, one would predict that y = 13.
A.) Only I and IV are true.
B.) Only II is true
C.) Only II and III are true.
D.) Only I is true.
E.) Only II and IV are true.
2.) In a simple linear regression study between two variables x ( the independent variable) and y (the dependent variable), a random large sample is collected and the coefficient of correlation r = .98 is calculated. Which of the following conclusion may be made? Which is right choice.
A.) x and y are almost perfectly correlated, and y increases as x is increased.
B.) x and y are moderately correlated, and y increases as x is increased.
C.) x and y are almost perfectly correlated, and y decreases as x is increased.
D.) x and y are very poorly correlated since r close to -1.
Explanation / Answer
We are allowed to do 1 question at a time. Post again for second question.
1) Given: r = .95
So, II. The variable y is strongly negative correlated to the variable x.
Also, for x = 5
y^ =3 * 5 + 2
y = - 13
E.) Only II and IV are true.