Answer:
The slope is m=2.145.
The y-intercept is b=-1.33.
Step-by-step explanation:
We have this data:
- The mean and standard deviation for x are 5.43 and 1.12, respectively.
- The mean and standard deviation for y are 10.32 and 2.69, respectively.
- The correlation is 0.893.
We have to calculate the slope and the y-intercept of the least-squares line.
With the given data, we can calculate the slope m as:
[tex]m=r\;\dfrac{s_y}{s_x}=0.893\;\dfrac{2.69}{1.12}=2.145[/tex]
Then, the y-intercept is calculated as:
[tex]b=\bar y-m\cdot \bar x=10.32-2.145\cdot 5.43=10.32-11.65=-1.33[/tex]
