MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Answer the following questions about this Pearson’s r
- Is the correlation statistically significant? How do you know?
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- A professor at the University of New Hampshire was interested in evaluating the effect of the unemployment rate on the incarceration rate. Using data from 50 states and the District of Columbia (n = 51), the researcher computed the Pearson’s correlation coefficient between the two variables. The results are presented below. Correlations Incarceration Unemployment Incarceration Pearson Correlation 1 .209 Sig. (2-tailed) .142 N 51 51 Unemployment Pearson Correlation .209 1 Sig. (2-tailed) .142 N 51 51 Using an alpha level of 0.05 and the four steps of the hypothesis testing process, test the research hypotheses that unemployment increases incarceration. Step 3 Step 4 Based on your decision to step 4 what type of error might you be making?arrow_forwardneed help with everything from test statistic and onward. Thx!arrow_forwardRespond to the following questions about Pearson’s correlation. Which is a stronger correlation, r = 0.48 or r = -0.56? Explain.arrow_forward
- 31arrow_forwardWhat is the relationship between the amount of time statistics students study per week and their final exam scores? The results of the survey are shown below. Time 11 5 Score 82 68 70 63 62 54 78 69 x-values y-values a. Find the correlation coefficient: r = b. The null and altemative hypotheses for correlation arer Ho: ?v H: ?v to Round to 2 decimal places. = 0 The p-value is: (Round to fsur decimal places) d. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. Select an answer p² = (Round to two decimal places) f. Interpret 2 : Select an answer g. e. The equation of the linear regression line is: = (Please show your answers to two decimal places) h. Use the model to predict the final exam score for a student who spends 7 hours per week studying. Final exam score = (Please round your answer to the nearest whole number.) i. Interpret the slope of the regression line in the context of the question: Select an answer j.…arrow_forwardA Pearson's correlation produces a significant r = -0.32. We can infer that it is a _____ relationship.arrow_forward
- Based on the data shown below, calculate the correlation coefficient (to three decimal places) x y 5 16.15 6 14.64 7 14.93 8 14.32 9 15.91 10 15.9 __?__arrow_forwardA set of n = 5 pairs of X and Y values has SSX = 16, SSY = 4 and SP = 2. For these data, what is the Pearson correlation? Hint: Look VERY carefully at your formula sheet, especially at the alternative definitional formula for r (wow, I can't believe I actually told you that). a. r = 64/64 b. r = 2/8 c. r = 2/64 d. r = Ö2/8arrow_forward
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