Complete the mcq:
1. The variable about which the investigator wishes to make predictions or estimates is called the ____.
a. dependent variable b. unit of association
c. independent variable d. discrete variable
2. In regression analysis, the quantity that gives the amount by which Y changes for a unit change in X is called the _____.
a. coefficient of determination b. slope of the regression line
c. Y intercept of the regression line d. correlation coefficient
3. In the equation y = b0 +b1 (x), b0 is the _____.
a. coefficient of determination b. slope of the regression line
c. y intercept of the regression line d. correlation coefficient
4. In the equation y = b0 + b1 (x), b1 is the _____.
a. coefficient of determination b. slope of the regression line
c. y intercept of the regression line d. correlation coefficient
5. In regression and correlation analysis, the measure whose values are restricted to the range 0 to 1, inclusive, is the _____.
a. coefficient of determination b. slope of the regression line
c. y intercept of the regression line d. correlation coefficient
6. In regression and correlation analysis, the measure whose values are restricted to the range -1 to +1, inclusive, is the
a. coefficient of determination b. slope of the regression line
c. y intercept of the regression line d. correlation coefficient
7. The quantity is called the _ sum of square.
a. least b. explained
c. total d. unexplained
8. If, in the regression model, b sub 1 = 0, we say there is linear relationship between X and Y.
a. an inverse b. a significant
c. a direct d. no
9. If, in the regression model, b sub 1 is negative, we say there is linear relationship between X and Y.
a. an inverse b. a significant
c. a direct d. no
10. If two variables are not related, we know that __.
a. their correlation coefficient is equal to zero.
b. the variability in one of them cannot be explained by the other.
c. the slope of the regression line for the two variables is equal to zero.
d. all of the above statements are true.
True or False
11. The usual objective of regression analysis is to predict estimate the value of one variable when the value of another variable is known.
12. Correlation analysis is concerned with measuring the strength of the relationship between two variables.
13. In the least squares model, the explained sum of squares is always smaller than the regression sum of squares.
14. The sample correlation coefficient and the sample slope will always have the same sign.
15. An important relationship in regression analysis is = .
16. If zero is contained in the 95% confidence interval for b, we may reject Ho: b = 0 at the 0.05 level of significance.
17. If in a regression analysis the explained sum of squares is 75 and the unexplained sum of square is 25, r2 = 0.33.
18. In general, the smaller the dispersion of observed points about a fitted regression line, the larger the value of the coefficient of determination.
19. When small values of Y tend to be paired with small values of X, the relationship between X and Y is said to be inverse.
20. Other things are equal, decreasing α increases β.
The purpose of hypothesis testing is to aid the manager or researcher in reaching a (an) concerning a (an) by examining the data contained in a (an) from that .
The hypothesis is the hypothesis that is tested.
If the null hypothesis is not rejected, we conclude that the alternative ____.
If the null hypothesis is not rejected, we conclude that the null hypothesis .
A Type I error occurs when the investigator ___.
A Type II error occurs when the investigator ___.
Values of the test statistic that separate the acceptance region from the rejection are called ___ values.
Given, H0: µ= µ0, then Ha: .
Given H0: µ ≤ µ0, then Ha: .
Given H0: µ ≥ µ0, then Ha: .
When one is testing H0: µ= µ0 on the basis of data from a sample of size n from a normally distributed population with a known variance of σ2, the test statistic is ___.
When one is testing H0: µ= µ0 on the basis of data from a sample of size n from a normally distributed population with an unknown variance, the test statistic is ___.
Given: H0: µ= 100; Ha: µ ≠ 100; α = 0.03; computed z = 2.25, p = 0.0244. The null hypothesis should reject because .
The following is a general statement of a decision rule: If, when the null hypothesis is true, the probability of obtaining a value of the test statistic as_____ as or more than that actually obtained is less than or equal to α, the null hypothesis is_. Otherwise, the null hypothesis is
The probability of obtaining a value of the test statistic as extreme as or more extreme than that actually obtained, given that the tested null hypothesis is true, is called for the __test.
What is the null hypothesis?
What is the alternative hypothesis?
Explain the p-value.
Show 3 ways how to calculate r^2.
What is the importane of having a critical value?