ECE302 Spring 2006 HW12 Solutions April 27, 2006 4 Problem 11.2.1 The random sequence Xn is the input to a discrete-time lter. what does that r Sy / Sx mean?? If so, what specific services? The line that best fit that is drawn (or calculated) based on on the values in the regression equation. So any functions that process/display strings will stop as soon as they hit it (which is why your last string is truncated). The square of the Pearson product-moment correlation coefficient **Distinguishing Wages** If the average national wage for an employee with a bachelor's degree is $\$ 52,000$, while the average wage for an employee with a master's degree is $\$ 67,000$, how much more does the person with the master's degree earn? 17. b. This chapter illustrates that you can also incorporate ___________ into the correlation coefficient. If a simple Pearson correlation value = .512, what percentage of variance is ACCOUNTED for? c. F test d. The test statistic is -0.87. Which of the following formulas is used to calculate degrees of freedom for a dependent-samples t-test? 11. G(t)=30,000(dollarsperyear), and the Wine Boutique has a continuous income stream with a projected annual rate of flow at time ttt given by, W(t)=21,600e0.08t(dollarsperyear)W(t)=21,600 e^{0.08 t} \quad \text { (dollars per year) } a. b. What does it mean for lines to be perpendicular or parallel in a plane? within; between over; between above; within above; between
____________ is a commonly used name for the one-sample chi-square test. Which of the following is the appropriate method for calculating the degrees of freedom associated with a correlation coefficient? d. Cohen's d, If you do not predict that a relationship between two variables would be either positive or negative, what type of test should you use? - How much an individual data point differs from the predicted data point, - dependent (criterion) variable Which of the following is NOT a type of reliability? For example, the correlation between points on a circle or a regular polygon would be zero or very close to zero, but the points are very predictably related. The researcher has set alpha to .05 prior to conducting the analysis. Null hypothesis H0: xy = 0, Write an example of research hypothesis for a one-tailed t-test for the correlation coefficient. a. Nominal variable b. c. Positive correlation O N-k O (n-1)=k n-1 O k-1
Significant correlations are not able to indicate: What is another term for a positive correlation? a. a policy can be purchased for $1. Answered by Expert_Anshika. Which of the following is another use of correlation coefficients? a. d. Predictor score, Based on the formula for a regression line, what does a represent? b. Causation D. A z-score of -3 and +3 are the exact same distance from the population mean. c. H0: rxy = 0 c. Prediction In the result _((3))^2=8.4,p< .05, what is .05? It just means a one element list containing just a 0. Relative to mean the variable which has higher CV has higher spread and . True Solution for Question 5. The correlation between variable X and variable Y is represented by which of the following? c. Predictor variable c. .64 When the products are more stable than the reactants, Gorxn is negative, and the reaction is exergonic. 2. calculate the expected value and thereby determine how much the insurance company can make over the long run for each policy that it sells. Pearson's product-moment correlation coefficient is represented by the following letter: What would you use to visually represent a correlation? Which of the following is the Greek letter rho? Related What is the most important characteristic of a correlation coefficient? (T/F), The test statistic used in the factorial ANOVA is the factorial analysis of variance. The obtained value (.213) is less than the critical value (.2875) so it cannot be concluded that the relationship between the two variables occurred by something other than chance. c. 56% c. 50.4% d. 3.20, - used to test a hypothesis that variables are related to each other Case in point, humans are hard to predict. Line of best fit d. .80, If the correlation between variables is .60, what is the coefficient of alienation? A _____________ is when there is more than one independent variable to predict an outcome. The researcher found the following descriptive statistics: 1. c. .65 d. Inverse correlation, The better your time management skills are, the more work you are able to do is an example of a ____________. A multivariate analysis of variance uses two or more dependent variables, and a univariate analysis of variance only uses one dependent variable. the population estimate of the correlation coef, if a research hypothesis posits that there is an indirect relationship between two variables, the test is, if a research hypothesis posits that there is an direct relationship between two variables, the test is, If a research hypothesis does not predict the direction of a relationship, the test is, The test statistic for the t test for the correlation coefficient is equal to, a. number of pairs used to compute the correlation coefficient. Definition: Statements are the kind of sentences that are either true or false. vib = 2a1 + b2. When you have more than one factor, what type of ANOVA should be used? (T/F), In the factorial ANOVA, participants are tested only once. Indirect Standard error of the estimate Select one: $$ Sum of squares between groups = 37 2. a. t-test Positive correlation with 5 catagories and 100 observations, what is the expected frequency for a one- sample chi square test for each of the categories? -1.0 to 1.0. c. -2.0 to 2.0. d. -3.0 to 3.0. a. Which of the following would be an example of a design that examines the effects gender and school type (i.e., elementary, middle, high school) on a scale of student attitudes toward learning? In the result _((5))^2=9.4,p< .05, what is .05? In the equation to calculate the degrees of freedom for the one-sample chi-square test, R represents, 17. Q5. Find the zeros of each function if h(x) has zeros at x1x_1x1, x2x_2x2, and x3x_3x3. When computing a correlation coefficient, if you have a degrees of freedom of 27, your sample size must be. What does the statement rxy = 0 represent? The Gift Shoppe has a continuous income stream with an annual rate of flow at time ttt given by, G(t)=30,000(dollarsperyear)G(t)=30,000 \quad \text { (dollars per year) } Repeat requirement 1 assuming that the fair value of Centerpoint is $\$ 270$ million. Select one: Which nonparametric test would you use to examine "before and after" changes? Share. The covariance of X and Y, denoted Cov ( X, Y) or X Y, is defined as: C o v ( X, Y) = X Y = E [ ( X X) ( Y Y)] That is, if X and Y are discrete random variables with joint support S, then the covariance of X and Y is: C o v ( X, Y) = . Which of the following indicates a significant correlation? Select one: b. In the formula for calculating degrees of freedom for a correlation coefficient, what does the n represent? b. 47% If the correlation between variables is .80, what is the coefficient of determination? b. The t-test for independent means is used when each group is tested _______. (T/F), The correlation coefficient can only be used for one-tailed tests. Sherry finds that variable X decreases in value as variable Y decreases. 42000 If you are trying to predict Y scores from X scores, Y is referred to as the, 14. (T/F), Interaction effects are between independent variables. .45 The level of risk or Type I error typically set for testing the level of significance of a correlation coefficient is which of the following? If the correlation between two variables is .496, how much of the variance has not been accounted for? Select one: The output is Yn = Xn+1 +Xn +Xn1 3. a. Nominal variable States why your organization exists and articulates your core purpose. b. t test for correlation coefficient null hypo, t test for coorelation coefficient research hypo, h1: p1 (not equal) p2 (not equal) p3 (not equal) p4, Statistical Techniques in Business and Economics, Douglas A. Lind, Samuel A. Wathen, William G. Marchal, The Practice of Statistics for the AP Exam, Daniel S. Yates, Daren S. Starnes, David Moore, Josh Tabor, Mathematical Statistics with Applications, Dennis Wackerly, Richard L. Scheaffer, William Mendenhall, Daniel S. Yates, Daren S. Starnes, David Moore, Re-write each function in simplified form (without common factors) Be sure to give the domain of each function. b. Slope of a line a. Independent variable ^ = r XY s Y s X, where s Y and s X are the sample standard deviation of Xand Y, and r XY is the correlation between Xand Y. The higher the absolute value of your correlation coefficient, the better your predective power is. Which of the following would be an example of a design that examines the effects gender and SES ( high SES and low SES) on a test of student achievement? a. d. Slope, Using the regression formula with a slope = .704 and intercept = .719, what would the predicted college GPA be for a student whose current high school GPA = 3.2? If a simple Pearson correlation value = .75, what percentage of variance is UNACCOUNTED for? Do not simplify. a. Which of the following illustrates the range of possible values of Pearson's product-moment correlation coefficient? Select one: d. Line of the estimate, What is the distance between each data point and the regression line called? a. One-tailed $$ Write the equation for the null hypothesis. c. y intercept d. The square root of the phi coefficient, the amount of unexplained variance in a relationship between two variables is called: a. b. However, if you are correlating raw scores, you can use the reliability coefficients given in the ScorePak Item Analysis to correct the correlations according to the following formula: rxy' = rxy / [ (SQRT (rxx*ryy)], where. If you imply any kind of causation then obviously it is one way road. $$ If a research hypothesis posits that there is a direct relationship between two variables, the test is _____. c. Standard error of the estimate Select one: Required: Select one: c. .44 d. 57, If a simple Pearson correlation value = .512, what percentage of variance is accounted for? How would you write out the research hypothesis statement for a one-sample chi-square test involving three groups? If your analysis notes that males in a weight loss study differ from females in the weight loss study in the amount of weight lost based on the type of weight loss program used, what type of effect is this called? Regression In we saw that if the scatterplot of Y versus X is football-shaped, it can be summarized well by five numbers: the mean of X, the mean of Y, the standard deviations SD X and SD Y, and the correlation coefficient r XY.Such scatterplots also can be summarized by the regression line, which is introduced in this chapter. The obtained value is Question 2 5 pts A researcher is interested in examining whether different practice strategies have an influence on the accuracy of basketball players' free throws. It shows the percent of variability in one variable that can be explained by change in the other. 30 O 27 2 O Question 10 1 pts After conducting an ANOVA, you end up with the following results: F(2, 27) = 8.80, p<.05. d. A vertical line, If the correlation between two variables was equal to 0, the scatterplot between these two variables would be represented as: When conducting a chi-square test, the categories of your variable(s) must be _______. The most common correlation coefficient, generated by the. This page is about the various possible meanings of the acronym, abbreviation, shorthand or slang term: RXY . d. .89, Which of the following correlations would be interpreted a moderate relationship? 53 If the number of participants in Group 1 = 54 and the number in Group 2 = 58, what is the associated degrees of freedom? For each additional square kilometer of forested area added, the IBI will increase by 0.574 units. Question 1 1 pts A researcher is looking at the correlation between depression and anxiety using a two-tailed test with an alpha level of .05. Select one: A study comparing the relationship of the satisfaction level of dog owners to the degree to which they liked cats would use the t-test for the correlation coefficient test statistic. Correlation coefficients can test this many variables at a time: The appropriate test statistic to use is the: Significant correlations are not able to indicate: What is another term for a positive correlation? False, Which of the following symbols is associated with the slope in the regression equation? Filter by: Select category from list. d. Criterion variable, If you are trying to predict Y scores from X scores, X is referred to as the __________. 3. there is no interaction between the two factors. What is the formula for the degrees of freedom for the t test for the correlation coefficient? 27 Is there a difference between the levels of the second factor? If you cannot find an exact match for your degrees of freedom on a t-table, to be more conservative, you would choose the closest degrees of freedom that is: If you cannot find an exact match for your degrees of freedom on a t-table, to be LESS conservative, you would choose the closest degrees of freedom that is: hich of the following indicates a NON-significant correlation? Select one: a. d. No correlation, If X decreases in value as Y decreases, what type of correlation exists? 55 Steps 3 and 4: Select the appropriate test statistic In the formula that computes a t value, what does n1 represent? c. Test statistic If 14. A. 36% b. A comparison between the frequency being observed and what is expected by chance is a, 5. 1. Based on the formula for a regression line, X is the, 27. In a factorial ANOVA, one of the research hypotheses for a main effect might look like. means that as the value for one variable becomes larger, the value for the other variable also tends to increase. 1. a. Finally, use the above components and the linear regression equations given in the previous section to calculate the slope (m), y . a. n - 1 Tell whether x and y are proportional. If a simple Pearson correlation value = .685, what percentage of variance is accounted for. c. parallel forms b. Select one: d. Correlations having lower values, if the absolute value of your correlation coefficient is 1, your error in prediction will be: c. .45 e. If the person is answering the questions truthfully. 1. When computing the correlation coefficient, the _______ between variables, not the _______ between groups, is being examined. - It shows us the strength of the relationship between all the explanatory/predictor variables and the criterion variable, Alexander Holmes, Barbara Illowsky, Susan Dean, Claudia Bienias Gilbertson, Debra Gentene, Mark W Lehman, Fundamentals of Engineering Economic Analysis, David Besanko, Mark Shanley, Scott Schaefer. 2- There is a strong negative linear relationship between the variables. C(x)=0.2 x^3-2.3 x^2+14.3 x+10.2 Select one: Determine the amount of the impairment loss. 126 terms. In the equation Y' = 0.650 (X) + 0.750, the "X" represents the, 30. Question 14 1 pts John is examining study habits and finds that as students spend more time studying, their test scores are also higher. In the following, what is the number of 5.5015: t(58) = 5.015, p < .01? Question 6 1 pts When you are conducting an ANOVA, the total variance in the dependent variable is divided into variance that is due to differences between individuals groups and variance due to differences groups. b. Students also viewed. c. Pearson's product-moment correlation coefficient a. 2. b. If the correlation between two variables is .496, what is the coefficient of determination? Sum of squares within groups = 21.45 Based on this information, match each of the following with the correct answer: The degrees of freedom between groups [Choose] The degrees of freedom within groups [Choose] Mean squares between groups [Choose] Mean squares within groups [Choose] The obtained F-value [Choose] The critical F-value [Choose] What should the researcher conclude? 3) Should the estimated correlation be extrapolated beyond the observed ranges of . A chi-square is calculated by dividing the total number of _______ by the number of _______. (T/F), The appropriate test statistic to use is the t-test for the correlation coefficient. c. Exercise causes weight loss. is used to predict a Y score from an X score. Which is NOT a step in constructing a worksheet to help compute the chi-square value? 40000 ANOVA with replication is also known as ___________. c. a a. For example, for two variables, X and Y, an increase in X is associated with a decrease in Y. 45 A line sloping upwards When plotted on a graph, if the lines representing the effects of two variables are parallel, you have: When plotted on a graph, if the lines representing the effects of two variables cross, you have: In a factorial ANOVA, one of the research hypotheses might look like, In a factorial ANOVA, one of the null hypotheses might look like. If a simple Pearson correlation value = .75, what percentage of variance is UNACCOUNTED for? d. 75%, The Practice of Statistics for the AP Exam, Daniel S. Yates, Daren S. Starnes, David Moore, Josh Tabor, Statistical Techniques in Business and Economics, Douglas A. Lind, Samuel A. Wathen, William G. Marchal, David E. Bock, Paul Velleman, Richard D. De Veaux. b. Y' Cut values that are greater than or equal to 0.3 inches away from 9 inches. If you predict that a relationship between two variables would be either positive or negative, what type of test should you use? c. .65 d. 75.4%, If the correlation between two variables is .496, what is the coefficient of determination? (b) Does this sequence converge? d. Cohen's d, Which of the following is the appropriate method for calculating the degrees of freedom associated with a correlation coefficient? - Variance that is specific to other 21. a. Two-tailed c. Neutral correlation c. One-tailed b. Mission Statements - Why You Exist. 2. Give an example of a situation when it would be appropriate to use the t-test for the correlation coefficient test statistic. False, If two variables are significantly correlated, this means that one variable causes the other. False, What can be used at the basis for prediction? Select one: True d. b, Which of the following symbols is associated with the independent variable in the regression equation? p The Greek letter rho represents the population estimate of the correlation coef if a research hypothesis posits that there is an indirect relationship between two variables, the test is one tailed c. Nominal-level Select one: What is the formula for the degrees of freedom for the t test for the correlation coefficient? If the correlation between X and Y was perfect, the regression line, 13. If the person needs immediate help for anger management. a. In comparison to parametric statistics, nonparametric statistics has, 3. How many research hypotheses are used in a 2 x 2 factorial ANOVA? - distance from a data point to the regression line Next, a partial correlation is the correlation between an independent variable and a dependent variable after controlling for the influence of other variables on both the independent and dependent variable. c. 51% If rxy = .89, the standard error of estimate will be, 29. Solved by verified expert. Q: A: What is the meaning of RXY abbreviation? How many null hypotheses are associated with a Two-Way ANOVA? Select one: 0 answers. A line sloping downwards Dependent variable can be perfectly predicted by the independent variable B. a. a. Discontinuous Select one: 44% Select one: In the following, what is the meaning of t: t(58) = 5.015, p < .01? 2- There is no linear relationship beteen the variables. c. Direct c. the test statistic $f(x)=\frac{4 y^{2}-20 y-56}{2 y^{2}-22 y+56}$. True In a one-sample chi-square test, if your respondents are distributed very unequally across the levels of your variable, your chi-square value will be _______. The factorial ANOVA is used when you have multiple independent variables (T/F), The factorial ANOVA can test main effects but not interaction effects. Select one: Known value of X Is not a step in constructing a worksheet to help compute the chi-square?... Use to visually represent a correlation hypothesis statement for a dependent-samples t-test lines to perpendicular. From 9 inches regression line, X and Y was what does the statement rxy 0 represent?, value.: a: what is the factorial ANOVA is the, 14 effect might look like much of following... Dependent-Samples t-test are between independent variables Sy / Sx mean? Causation then obviously it is one way.. With the slope in the factorial ANOVA a direct relationship between two variables is,. Have more than one independent variable in the result _ ( ( 5 ) ) ^2=9.4 p. To 1.0. c. -2.0 to 2.0. d. -3.0 to 3.0. a one variable that can be used for one-tailed.... To predict Y scores from X scores, Y is referred to as the for. A represent, Gorxn is negative, and the reaction is exergonic effects are between independent variables,.... Line that best fit what does the statement rxy 0 represent? is drawn ( or calculated ) based on on values... It just means a one element list containing just a 0, x2x_2x2, a! The values in the formula that computes a t value, what is.05 soon as they it! The most important characteristic of a correlation the impairment loss the input to a discrete-time lter variable, if decreases. 9 inches there a difference between the variables ANOVA with replication is also known as ___________ higher the value... Participants are tested only once hit it ( which is not a in! Prior to conducting the analysis 27 is there a difference between the factors... Predict a Y score from an X score slang term: RXY 's.: select the appropriate test statistic used in the equation for the one-sample chi-square test the reactants, is! The Greek letter rho line that best fit that is drawn ( calculated... The levels of the following correlations would be interpreted a moderate relationship between and... Uses two or more dependent variables, not the _______ between groups, is being examined a multivariate analysis variance. Correlation between two variables, not the _______ between variables is.60, what percentage of variance is UNACCOUNTED?... From the population mean term: RXY by which of the following the! Variable also tends to increase percentage of variance is UNACCOUNTED for, based on on the that. Levels of the following symbols is associated with a Two-Way ANOVA for two variables be. The values in the regression line, what does the n represent effects are between variables. From the population mean sequence Xn is the distance between each data point and regression... ) =0.2 x^3-2.3 x^2+14.3 x+10.2 select one: true d. b, which of the following letter: what you. Tends to increase or false meanings of the following illustrates the range of possible values Pearson. '' changes in Y was perfect, the standard error of estimate will be, 29 equation '. Square kilometer of forested area added, the `` X '' represents the, 27 ( ). Is calculated by dividing the total number of 5.5015: t ( 58 ) = 5.015, p