In: Statistics and Probability
show your work please
Given the following data, answer the following questions: |
|
(Assume the second column to be the dependent variable) |
|
a) Construct the scatter diagram. |
|
b) Compute the linear correlation coefficient r and value of r-critical. |
|
c) Is r statistically significant at an alpha of 5%?. Explain why or why not |
|
d) What is the standard error of regression? |
|
e) Identify any outliers (do not remove them). Show your work. If no outliers, indicate N/A |
|
f) Compute the equation of line of best fit |
|
g) Perform a hypothesis to test the claim of a linear relationship at 5%? |
|
h) Assuming that the data is statistically significant, what is brain area of someone who IQ of 100? |
|
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 |