Answer:
The first step to write an equation is slope-intercept form is to find the slope using the formula
Therefore, the answer to question 1 is C.
On the other hand, when a correlation coefficient is near to zero, that means there's no correlation between variables. So, in this case, we have a coefficient of r = 0.02, which is really close to zero.
Therefore, the answer to question 2 is D. There is little or no linear correlation.
The linear regression in question 3 is
Where, represents hours and the score.
Now, according to this relation, the minimum score you can get is 65.8, that is, if you studied zero hours, you get 65.8. And 9.6 represents the increase in points per hour studied.
Therefore, the right answer for question 3 is B.
In question 4, the given expression is
Now, to find the right answer, we need to test each point and see which one satisfy the equation
For (0,3)
This means choice A appears as a solution.
For (-1,4)
Option B also appears as solution
For (3,-2)
Choice C doesn't appear as solution.
Therefore, the right answer is C.