Q1 Based on the information in the table below, answer the following three questions. \begin{tabular}{|c|c|c|c|c|} \hline & SS & df & MS & F \\ \hline Q3 Between groups & 30 & & & \\ \hline Within groups & & 20 & & \\ \hline Total & 40 & 25 & & \\ \hline \end{tabular} Q1 Compute the test statistic associated with this table. What is its value? A. 10.02 B. 12.00 C. 8.78 D. \( \mathbf{5 . 2 0} \) Q2 Would you say that the IV has a significant impact on the DV at \( \mathbf{a}=0.05 \) ? A. Yes B. No Q3 What is the effect size of this study? A. 0.750 B. 0.500 C. 0.825 D. 0.625
Added by Jennifer C.
Close
Step 1
- The total degrees of freedom (df) is given as 25. This is the sum of the degrees of freedom between groups and within groups. - The degrees of freedom for between groups is calculated as the number of groups minus 1. However, this information is not directly Show more…
Show all steps
Your feedback will help us improve your experience
Shaiju T and 56 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
1. The between subjects df = K - 1 and the within subjects df = N - K A. True B. False 2. If you are told N = 25 and K = 5, the df you would use is: A.20 B.4,20 C.5,20 D.6,20 3.The CV for (2, 20), alpha = .05 is A. 3.49 B. 5.85 C. 3.10 D. 4.94 4. You conducted an ANOVA and the summary table reports df = (3, 18) and observed F = 1.99. Do you need to conduct a Tukey test? A. Yes B. No C. Cannot tell based on information provided
Shaiju T.
Jon S.
ANOVA df SS MS F Sig Regression 3 ??? 2237.46 ??? ??? Residual 11 447.59 40.69 Total 14 7160 Coefficients Standard Error t Stat P-value Intercept 1,212 3,213 0,377 0,713 income 0,003 0,001 2,582 0,025 user experien 5,132 1,774 ??? ??? Pageviews 1,975 0,768 ??? ??? a) Write down the estimated regression equation and interpret each coefficient of the independent variables. [4 marks] b) Calculate the coefficient of determination (R²) and the adjusted R-square (R²adj). [4 marks] c) Find the F test statistic and its corresponding p-value to test for the overall significance to determine the overall significance of the relationship between the customer's willingness to spend and the three independent variables. What is your conclusion? [6 marks] (Note that the critical value of F is 3.59 when the degree of freedom in the numerator = 3 and in the denominator = 11) d) Calculate each of the test statistics t and its corresponding p-value (use the t-distribution table) for the customer's user experience (x2) and the number of pageviews (x3). Determine if each independent variable gives a significant contribution to predict the amount of money the customer's willingness to spend. [6 marks]
Adi S.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Watch the video solution with this free unlock.
EMAIL
PASSWORD