Linear Regression and Correlation.
Compute the equation of the linear regression line in the form y = mx + b, where m is the slope and b is the intercept.
Use at least 3 decimal places. (Round if necessary)
y = x +
Compute the correlation coeficient for this data set. Use at least 3 decimal places. (Round if necessary)
r=
Compute the P-value (Use HA: slope ≠ 0 for the alternative hypothesis.)
Use at least 3 decimal places. (Round if necessary)
P-value =
At the alpha = 0.05 significance level, is the correlation significant?
| x | y |
|---|---|
| 3 | 0.47 |
| 4 | -4.04 |
| 5 | 0.25 |
| 6 | 2.84 |
| 7 | -6.27 |
| 8 | -0.08 |
| 9 | 6.31 |
Compute the equation of the linear regression line in the form y = mx + b, where m is the slope and b is the intercept.
Use at least 3 decimal places. (Round if necessary)
y = x +
Compute the correlation coeficient for this data set. Use at least 3 decimal places. (Round if necessary)
r=
Compute the P-value (Use HA: slope ≠ 0 for the alternative hypothesis.)
Use at least 3 decimal places. (Round if necessary)
P-value =
At the alpha = 0.05 significance level, is the correlation significant?