true or false:

(1)In a two-sample test of hypothesis for means with the small samples, the population standard deviations are not known and we must assume the shape of the populations is normality.

(2)In a two-tailed test, the rejection region is always split evenly between the two tails.

(3)If all the data points in a scatter diagram were on the regression line, the value of the standard error of estimate would be zero.

(4)In the following values ( 0.65, -0.77, 0, -0.12),the value 0.65 indicates the strongest correlation between two variables.

(5)Correlation matrix is the term given to a table that shows all possible correlation coefficients between the dependent variable and all the independent variables and among all the independent variables .

(6)In a multiple regression equation, the maximum number of independent variables allowed is 10.

(7)The coefficient of determination of the regression equation is 0.34, which implies that thirty-four percent of the variation in the dependent variable is explained by the independent variable.

(8)If given the regression equation is,and that the coefficient of determination is 0.64, then the correlation coefficient is 0.8, and we can interpret the slope as follows: as the independent variable increases by on unit, the dependent variable increases by 90.619 units.

(9)In multiple linear regression analysis, we assume the type of relationship between the dependent variable and the set of independent variables is linear.

(10)In a one-way ANOVA, there are four treatments and six observations in each treatment. Then the degrees of freedom for the F distribution is 4 and 20 respectively.