Question
Does the data look approximately linear? Or does there appear to be some sort of non-linear trend in our data? The data look approximately linear.
- Does the data look approximately linear? Or does there appear to be some sort of non-linear trend in our data?
The data look approximately linear.
- What is the regression model created from our data set?
The mean of years:
x = ni = 1 xi / n
x = 103/11
x = 9.3636
The mean of the Stocks:
= ni = 1 yi / n
= 480/11
= 43.6364
The sum of squares of x:
SSxx = 1073 - 1/11 (103)2
SSxx = 1073 - 10609/11
SSxx = 1073 - 964.4545
SSxx = 108.5455
The sum of squares of stock:
SSyy = 22868 - 1/11 (480)2
SSyy = 22868 - 230400/11
SSyy = 22868 - 20945.4545
SSyy = 1922.5455
The sum of cross products:
SSxy = 4939 - 1/11 (103) (480)
SSxy = 4939 - 49440/11
SSxy = 4939 - 4494.5455
SSxy = 444.4545
The slope is
1 = SSxy/SSxx
1 = 444.4545/108.5455
1 = 4.0946
The y-intercept is
0 = - 1 * x
0 = 43.6364 - 4.0946 x 9.3636
0 = 5.2956
- What does the slope represent in our regression model?
The slope shows that the company's stock grows by $4094.64 for each year an employee works there.
- If an employee has been with the company for 13 years, how much company stock would we expect them to have?
We'd anticipate him to have $58525.40
- In the problem, it was mentioned there are other variables that could impact the amount of company stock awarded to an employee. What are some other variables we may want to collect next time to add to our model?
We might need to gather information about education level, age, performance evaluations, and other factors.
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THE REAL QUESTION IS THIS ONE, BY LOOKING AT THE CHART ABOVE.. PLEASE HELP ME ANSWER THIS QUESTION .. THANK U.
By looking at the graph, are the two variables have a strong correlation? How do you know?
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