Given below are seven observations collected in a regression study on two variables, x(independent variable) and y (dependent variable). Use a computer package (e.g. Minitab) to answer the following….
x y
|
10 |
9.14 |
|
8 |
8.14 |
|
13 |
8.74 |
|
9 |
8.77 |
|
11 |
9.26 |
|
14 |
8.1 |
|
6 |
6.13 |
|
4 |
3.1 |
|
12 |
9.13 |
|
7 |
7.26 |
|
5 |
4.74 |
- Develop the least squares estimated regression equation.
- At 95% confidence, perform a t test and determine whether or not the slope is significantly different from zero.
- Compute the coefficient of determination. What is your interpretation?
- Are there violations of the regression assumptions? Are there outliers? Use plots to evaluate these questions. How did you reach your conclusions?
