-This one is not to be handed in: Imagine the line y= 2x+ 5 with x values equally spaced every 0.1 from 0 to 10. Think of it as small marbles were sitting on the line as a long line of marbles. Imagine the Hand of Zeus line shakes the line so the marbles roll up and down just a bit (just up and down).

The data comes from this population line but a regression line might not re-produce this line. (a) Make columns of data (excel might be easier than Minitab) that simulates these marbles as x and y values. (a) Use Minitab to find the regression line through these data points (b) What are the Coefficient of Determination and the linear Coefficient of Correlation. Interpret them. (c) Test at 97.5% confidence if the slope is 2. (d) Test at 97.5% confidence if the intercept is 5.

(e) Add to each y value a random number between -0.5 and 0.5 to each number. (a) Use Minitab to find the regression line through these data points (b) What are the Coefficient of Determination and the linear Coefficient of Correlation. Interpret them. (c) Test at 97.5% confidence if the slope is 2. (d) Test at 97.5% confidence if the intercept is 5.