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Topics Covered –Simple Regression

Homework # 4 - 100 points (Due date 4/4/2011- Monday)

For Home Work 4, Turn in Part 1 (15 points), Question 1(20 points), Question 2 (20 points), Question 3 45 points).

Part 1

MULTIPLE CHOICE [3 point each]

1. In Least squares regression, the regression line is obtained by minimizing,

a) The total variation in the dependent variable.

b) The sum of squares for error (SSE).

c) The sum of squares for regression (SSR)

d) The sum of squares for total (SST).

e) None of the above

2. In a simple regression analysis involving 25 data points, the standard error of estimate is calculated as S( = 2.0 and the Fts = 10, then the information from regression line (SSR) should be,

a) 60

b) 50

c) 40

d) 30

e) None of the above

3. In a statistics course, a linear regression equation was computed to predict the final exam score from the first quiz score. The equation obtained was Y = 10 + 0.9 X, where Y is the final exam score and X is the first quiz score. A prediction interval for Al Bundy who scored 95 on the first quiz and on the final exam scored 98 was computed. Also a confidence interval for mean score of 95 on the first quiz was computed. From this we can conclude:

a) Al Bundy’s prediction interval in wider than the confidence interval. b) Al Bundy’s prediction interval in shorter than the confidence interval. c) Al Bundy’s prediction interval is equal in length to the confidence interval. d) None of the above

4. Excluding an outlier point from your data in simple regression analysis, in general leads to:

a) A significantly different slope as compared to the case where you do not exclude the point from your data

b) Imprecise estimates of the intercept

c) Significantly

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