No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of \( n=29 \) and \( \alpha=0.05 \). Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of \( n=19 \) and \( \alpha=0.05 \). Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of \( n=19 \) and \( \alpha=0.05 \). (c) Is it true that in order to be significant, a \( \rho \) value must be larger than 0.90 ? larger than 0.70 ? larger than 0.50 ? What does sample size have to do with the significance of \( \rho \) ? Explain your answer. Yes, a larger correlation coefficient of 0.90 means that the data will be significant. Yes, a larger correlation coefficient of 0.70 means that the data will be significant. No, a larger sample size means that a smaller absolute value of the correlation coefficient might be significant. Yes, a larger correlation coefficient of 0.50 means that the data will be significant. No, sample size has no bearing on whether or not the correlation coefficient might be significant. Submit Answer Viewing Saved Work Revert to Last Response \( [6 / 22 \) Points] DETAILS MY NOTES BBUNDERSTAT12HS 9.R.006.S. PREVIOUS ANSWERS ASK YOUR TEACHER A sociologist is interested in the relation between \( x= \) number of job changes and \( y= \) annual salary (in thousands of dollars) for people living in the Nashville
Added by Jasmine
Close
Step 1
It ranges from -1 to +1, where +1 indicates a perfect positive linear relationship, -1 indicates a perfect negative linear relationship, and 0 indicates no linear relationship. Show more…
Show all steps
Your feedback will help us improve your experience
Krishna G and 71 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
David N.
1. What is the correlation for each pair of variables? (There are 3 correlations in the output.) 2. Is each correlation statistically significant? [Assume α = .05.] How do you know? What should you do with the null hypothesis for each correlation? 3. If the correlation between variables is significant, what is the nature of the correlation? (In other words, is the correlation positive or negative?) Is the relationship between variables consistent with Lisa’s alternative hypotheses? How do you know?
Jon S.
The information below explores the relationship of three potential factors impacting the salary of a teacher in Otsego County, NY. The three factors are: Years of Experience, Principal’s Rating, and whether the teacher has a Master’s degree (Coded as 1 = Yes; 0 = No). The units of salary represented in the model are in $K. The correlation matrix is: Salary Years Rating Years 0.868 Rating 0.547 0.187 Master 0.311 0.208 0.458 a. Which independent variable has the strongest correlation with “salary”? b. What is the regression equation for predicting salary? c. How much variation in salary can be explained by the variation in the three independent variables, compensating for the number of independent variables? d. What is the “unit measure of dispersion (variability)” around the salary estimate? e. Conduct a test of hypothesis for each of the individual regression coefficients at the 0.05 level of significance. f. Based on part e, which variable (if any) would you consider deleting from the model because it is NOT statistically significant?
Madhur L.
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