Question

1. If an estimated regression line has a y-intercept of 10 and a slope of 4, then when x = 2 the actual value ofy is: а. 18 b. 15 с. 14 d. unknown 2. Given the least squares regression line v = 5- 2x: a. the relationship between x and y is positive b. the relationship between x and y is negative. c. asx decreases, so does y. d. None of these choices. 3. A regression analysis between weight (y in pounds) and height (x in inches) resulted in the following least squares line: 120+ 5x. This implies that if the height is increased by 1 inch, the weight, on average, is expected to: a. increase by 1 pound b. decrease by 1 pound. c. increase by 5 pounds d. increase by 24 pounds 4. A regression analysis between sales (in $1,000) and advertising (in $1,000) resulted in the following least squares line: ỹ =80+5x. This implies that: a. as advertising increases by $1,000, sales increases by $5,000. b. as advertising increases by $1,000, sales increases by $80,000. as advertising increases by $5, sales increases by $80. d. None of these choices с. 5. The residual is defined as the difference between: a. the actual value of y and the estimated value ofy b. the actual value of x and the estimated value ofx c. the actual value of y and the estimated value ofx d. the actual value ofx and the estimated value ofy

Answer 1

1) y = 4x + 10

x = 2

y = 4 * 2 + 10 = 18

Option-A) 18

2) Option-B) the relationship between x and y is negative

3) Option-C) increase by 5 pounds

4) Option-A) as advertising increases by $1000, sales increases by $5000

5) Option-A) the actual value of y and the estimated value of y