Question

1- Regression analysis can be described as ________. A. a statistical hypothesis test in which the test statistic follows a Student's t-distribution if the null hypothesis is supported B. a collection of statistical models in which the observed variance in a particular variable is partitioned into components attributable to different sources of variation C. a statistical hypothesis test in which the sampling distribution of the test statistic is a chi-square distribution when the null hypothesis is true D. a tool for building statistical models that characterize relationships among a dependent variable and one or more independent variables, all of which are numerical

2- The best-fitting regression line minimizes the sum of the squares of the observed errors. Is T or F?

3- A random number is any number between negative infinity and positive infinity. Is T or F?

Answer 1

1- Regression analysis can be described as ________.

B. a collection of statistical models in which the observed variance in a particular variable is partitioned into components attributable to different sources of variation

Explanation:

In the regression analysis, we find out the coefficient of determination or value of R square which explains the total variation in the dependent variable or response variable due to independent variables. For this analysis, we use F test and t tests for checking the significance of overall regression model and regression coefficients.

2- The best-fitting regression line minimizes the sum of the squares of the observed errors. Is T or F?

Answer: T

Explanation: In regression analysis, we use the technique of minimization of the sum of squares of the observed errors. We fit the straight line which minimizes the sum of squares of the difference between actual values and predicted values.

3- A random number is any number between negative infinity and positive infinity. Is T or F?

Answer: T

Explanation: A random number can take values from minus infinity to plus infinity and selection of random numbers at particular situation needs to define the range of random numbers. For example, sometimes we need to find out random numbers between 0 to 100 or -100 to 100.