These are a few multiple choice questions realting to Regression Correlation. Can you please explain to be step by step the correct multiple choice answer. Thank you

QUESTION 1

1. A linear regressionhas the following equation: y = -0.52x + 10, with a coefficient of determination R²= 0.64. What is the correlation coefficient, rounded to two decimal places?

a.0.80

b.0.41

c.-0.80

d.-0.41

QUESTION 2

1. A linear regressionhas the following equation: y = -0.36x + 10, with a correlation coefficient of R=-0.49. What is the coefficient of determination, rounded to two decimal places?

a.0.24

b.-0.24

c.0.7

d.-0.7

QUESTION 3

1. A linear regression has the following equation:y = 5.38x -4.37, with a coefficient of determination of R²=0.87. How would you describe this correlation?

a.Weak Negative

b.Weak Positive

c.Strong Positive

d.Strong negative