In: Statistics and Probability
show your work please
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Given the following data, answer the following questions: |
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(Assume the second column to be the dependent variable) |
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a) Construct the scatter diagram. |
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b) Compute the linear correlation coefficient r and value of r-critical. |
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c) Is r statistically significant at an alpha of 5%?. Explain why or why not |
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d) What is the standard error of regression? |
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e) Identify any outliers (do not remove them). Show your work. If no outliers, indicate N/A |
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f) Compute the equation of line of best fit |
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g) Perform a hypothesis to test the claim of a linear relationship at 5%? |
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h) Assuming that the data is statistically significant, what is brain area of someone who IQ of 100? |
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| IQ | AREA |
| 96 | 1913.88 |
| 89 | 1684.89 |
| 87 | 1902.36 |
| 87 | 1860.24 |
| 101 | 2264.25 |
| 103 | 2216.4 |
| 103 | 1866.99 |
| 96 | 1850.64 |
| 127 | 1743.04 |
| 126 | 1709.3 |
| 101 | 1689.6 |
| 96 | 1806.31 |
| 93 | 2136.37 |
| 88 | 2018.92 |
| 94 | 1966.81 |
| 85 | 2154.67 |
| 97 | 1767.56 |
| 114 | 1827.92 |
| 113 | 1773.83 |
| 124 | 1971.63 |
final answers
| a) scatterplot | ||||||
| b) cor. coeff. | ||||||
| r-critical | ||||||
| c) stats sig? | <=== YES or NO | |||||
| why or why not? | ||||||
| d) std err of regr | ||||||
| e) list outliers | ||||||
| f) equation | ||||||
| g) Hypothesis | ||||||
| Test Statistic | ||||||
| p-value | ||||||
| Decision | ||||||
| Conclusion | ||||||
| h) prediction | ||||||