Week 6 – Homework – unicorpessays -Excellent Writing Services

Week 6 – Homework

1. Fitting a straight line to a set of data yields the following prediction line:

Yi = 2 + 5Xi

a. Interpret the meaning of the Y intercept, b0.

b. Interpret the meaning of the slope, b1.

c. Predict the value of Y for X = 3.

2. How do you interpret a coefficient of determination, r2, equal to 0.80?

3. If SSR = 36 and SSE = 4, determine SST and then compute the coefficient of determination, r2, and interpret its meaning.

4. The following results provide the X values, residuals, and a residual plot from a regression analysis. Is there any evidence of a pattern in the residuals? Explain.

5. The following results provide the X values, residuals, and a residual plot from a regression analysis. Is there any evidence of a pattern in the residuals? Explain.

6. Based on a sample of n = 20, the least-squares method was used to develop the following prediction line: Yi = 5 + 3Xi. In addition,

a. Construct a 95% confidence interval estimate of the population mean response for X = 2.

b. Construct a 95% prediction interval of an individual response for X = 2.