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# Coefficient of determination

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.

1. How do you interpret a coefficient of determination, r2, equal to 0.80?
2. If SSR = 36 and SSE = 4, determine SST and then compute the coefficient of determination, r2, and interpret its meaning.
3. 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.
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. 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.

Sample Solution

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