1. In a scatter plot between two variable, if all points fall on the linear regression line, sum of squares due to error SSE in the ANOVA table will be zero.

True

False

2. In a scatter plot between two variable, if all points fall on the linear regression line, coefficient of determination (R-square) will be zero.

True

False

3. in a simple regression analysis (where y is a dependent and x an independent variable), if the y intercept is positive, then

if x is increased, y must also increase

there is a positive correlation between x and y

none of the other three alternatives is correct

if y is increased, x must also increase

4. in anova table based on simple linear regression without intercept, degrees of freedom for error is higher than the degrees of freedom for total.

true

false

5. In anova table based on simple linear regression, sum of squares due to regression is always equal to mean square due to error

True

False

6. If ANOVA table for a simple linear regression based on 60 samples has total sum of squares (SST) of 100 and mean square due to regression (MSR) of 30, find sum of squares due to error (SSE).

40

70

2

60

7. If the coefficient of determination is a positive value, then the regression equation

Must have a negative slope

None of the other 3 options are correct

Must have a positive slope

Must have a positive y intercept

8. ANOVA table for a simple linear regression based on 60 samples has total sum of squares (SST) of 100 and mean square due to regression (MSR) of 30, find the F-ratio.

24.86

33.78

2.33

1.96

9. If ANOVA table for a simple linear regression based on 60 samples has total sum of squares (SST) of 100 and mean square due to regression (MSR) of 30, find error degrees of freedom.

99

59

58

1

10. Regression analysis was applied between demand for a product Y) and the price of the product (X),and the following estimated regression equation was obtained.

Y=120-10X

Based on the above estimated regression equation, if price is increased by 2 units, then demand is expected to

Decrease by 20 units

Increase by 100 units

Increase by 120 units

Increase by 20 units