MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- Use Spearman rho formula to determine if there is a correlation between the English and Math score of 10 students English 86 76 46 71 82 64 58 80 75 61 Math 66 80 40 60 65 56 58 77 67 81 Ho: Ha: Calculated Value: Tabulated Value: Decision: Conclusion:arrow_forwardTo examine the linear correlation between adult age and weight, data was collected from 9 adults. See the table below. Age Weight (Years) (pounds) 26 203 28 245 29 141 34 139 39 199 40 194 41 137 50 181 52 197 Does this result suggest that the correlation is statistically significant? Use a = 0.01. Important Note: Round your value for r to three decimals before computing the STS. DO NOT use the built- in LinRegTTest on a calculator because you might get marked wrong. When computing the P-value, use the rounded STS. 1. Select the correct statement: O f the correlation is found to be statistically significant, that means that changes in æ cause changes in y O Even if the correlation is found to be statistically significant, that does not necessarily mean that changes in æ cause changes in yarrow_forwardWhich of the following is necessary to estimate the population parameter of a Pearson's correlation coeffcient properly? A. A curvilinear relationship B. Nominal Data C. Random sampling D. Ranked scoresarrow_forward
- A study was done to look at the relationship between number of partners college students have had in their lifetimes and their GPAs. The results of the survey are shown below. Partners 7 8 6 1 6 6 4 GPA 1.4 1.5 1.4 3 2.3 1.5 2.9 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: ? r ρ μ Incorrect == 0 Ha:Ha: ? r ρ μ Incorrect ≠≠ 0 Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study. You may want to reference the 95% Critical Values of the Sample Correlation Coefficient. There is statistically insignificant evidence to conclude that there is a correlation between the number of partners students have had in their lifetimes and their GPA. Thus, the use of the regression line is not appropriate. There is statistically significant evidence to conclude that a student who has had more partners will have a lower GPA than a…arrow_forwardThe accompanying data are x = advertising share and y = market share for a particular brand of soft drink during 10 randomly selected years. x 0.104 0.072 0.072 0.077 0.086 0.047 0.060 0.050 0.070 0.052 y 0.137 0.127 0.120 0.086 0.079 0.076 0.065 0.059 0.051 0.039 b)Calculate the equation of the estimated regression line. (Round your answers to four decimal places.) d)Calculate a point estimate of ?e. (Round your answer to five decimal places.)arrow_forwardThe following table compares the completion percentage and interception percentage of 55 NFL quarterbacks. Completion Percentage 58 59 62 65 66 Interception Percentage 4.5 4 3 2.5 1.5 Copy Data Determine if r is statistically significant at the 0.01 level. Yes or No? the correlation coefficient is/ is not statistically significant.arrow_forward
- In baseball, is there a linear correlation between batting average and home run percentage? Let x represent the batting average of a professional baseball player, and let y represent the player's home run percentage (number of home runs per 100 times at bat). A random sample of n = 7 professional baseball players gave the following information. x 0.243 0.245 0.286 0.263 0.268 0.339 0.299 y 1.0 3.3 5.5 3.8 3.5 7.3 5.0 A) Compute r. (Round your answer to three decimal places.) B) As x increases, does the value of r imply that y should tend to increase or decrease? Explain your answer.arrow_forwardLet x be the average number of employees in a group health insurance plan, and let y be theaverage administrative cost as a percentage of claims. The following data is based on a randomsample:x 5 7 15 25 35y 40 35 30 20 25a. Plot a scatter diagram of the above data.b. Estimate the sample correlation coefficient r as positive, zero, or negative.c. Interpret your results from parts a. and b.arrow_forwardIn baseball, is there a linear correlation between batting average and home run percentage? Let x represent the batting average of a professional baseball player, and let y represent the player's home run percentage (number of home runs per 100 times at bat). A random sample of n = 7 professional baseball players gave the following information. x0.241 0.263 3.8 0.261 0.286 0.268 3.5 0.339 0.299 y 1.1 3.3 5.5 7.3 5.0 (a) Make a scatter diagram of the data. Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties. WebAssign. Graphing Too (b) Use a calculator to verify that Ex = 1.957, Ex2 = 0.553, Ey = 29.5, Ey2 = 147.33 and Exy = 8.607. Compute r. (Round your answer to three decimal places.) As x increases, does the value of r imply that y should tend to increase or decrease? Explain your answer. O Given our value of r, y should tend to decrease as x increases. O Given our value of r, y should tend to remain constant as x increases.…arrow_forward
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