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
|
1. Develop the least squares estimated regression equation.
2. At 95% confidence, perform a t test and determine whether or not the slope is significantly different from zero.
3. Compute the coefficient of determination. What is your interpretation?
4. Are there violations of the regression assumptions? Are there outliers? Use plots to evaluate these questions. How did you reach your conclusions?