Problem

Consider the following pairs of measurements, saved in the LM9_17 file: x53-12764y4301853...

Consider the following pairs of measurements, saved in the LM9_17 file:

x

5

3

-1

2

7

6

4

y

4

3

0

1

8

5

3

a. Construct a scatterplot of these data.


b. What does the scatterplot suggest about the relationship between x and y ?


c. Given that SSxx = 43.4286, SSxy = 39.8571,  = 3.4286, and  = 3.7143, calculate the least squares estimates of β0 and β1


d. Plot the least squares line on your scatterplot. Does the line appear to fit the data well? Explain.


e. Interpret the y -intercept and slope of the least squares line. Over what range of x are these interpretations meaningful?

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