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 | ||||||