4. If the coefficient of correlation is -0.60, then the coefficient of determina

Question

4.

If the coefficient of correlation is -0.60, then the coefficient of determination is:

a. -0.60 b. -0.36 c. 0.36 d. 0.40

5. If an estimated regression line has a y-intercept of 10 and a slope of 4, then when x=2, the predicted or estimated value of y is

a.15 b.18 c.14 d.unknown

6. A regression analysis between weight (y in pounds) and height (x in feet) resulted in the following least squares line: ? = 120 + 5x. This implies that if the height is 5 feet, the weight is estimated to be:

a.135 lbs. b.145 lbs. c.140 lbs. d. 150 lbs.

Explanation / Answer

If the coefficient of correlation is -0.60, then the coefficient of determination is:

=(-0.6)^2 = 0.36

5. If an estimated regression line has a y-intercept of 10 and a slope of 4, then when x=2, the predicted or estimated value of y is

c =10

m=4

y=4x+10

x=2

y=8+10 = 18

y=18

6. A regression analysis between weight (y in pounds) and height (x in feet) resulted in the following least squares line: y = 120 + 5x. This implies that if the height is 5 feet, the weight is estimated to be:

y = 120 +5*5

y = 145 lb

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