Question 655216: Construct a scatterplot for the (x, y) values below, and answer the following questions. You needn’t submit your scatterplot with your answer.
x y
1 4
2 6
3 8
4 10
5 11
- Based on the scatterplot, would the correlation between x and y be positive or negative?
- How would you interpret these data in terms of linear regression? Please be sure to see the model in problem 6 of practice items posted in the P&S area
Could you please show work
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website!
x | y
1 | 4
2 | 6
3 | 8
4 | 10
5 | 11
 .... find the slope
find the equation:
| Solved by pluggable solver: FIND a line by slope and one point |
What we know about the line whose equation we are trying to find out:
- it goes through point (1, 4)
- it has a slope of 3
First, let's draw a diagram of the coordinate system with point (1, 4) plotted with a little blue dot:
Write this down: the formula for the equation, given point  and intercept a, is
 (see a paragraph below explaining why this formula is correct)
Given that a=3, and  , we have the equation of the line:
Explanation: Why did we use formula  ? Explanation goes here. We are trying to find equation y=ax+b. The value of slope (a) is already given to us. We need to find b. If a point ( ,  ) lies on the line, it means that it satisfies the equation of the line. So, our equation holds for (, ):  Here, we know a, , and , and do not know b. It is easy to find out:  . So, then, the equation of the line is:  .
Here's the graph:
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Correlation:  since as x rises, y rises
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