102年 - 102 國立嘉義大學_碩士班招生考試試題_行銷與運籌學系：統計學#146333

1. Random variable (5%)

2. Central limit theorem (5%)

3. Degree of freedom (5%)

4. Type I error (5%)

1. Construct a stem-and-leaf plot. Is the distribution symmetric, positively skewed, negatively skewed, or binomial? (10%)

2. Find the sample mean, median and mode. (10%)

3. Construct a boxplot. (5%)

4. Compute the sample variance and the standard deviation. (5%)

三、 The data on frequency distribution of accidents at a certain intersection in Chiayi City were recorded as the following table. Based on this frequency table, can we conclude that the true distribution of accident frequency distribution is Poisson with λ=2? A 0.05 significance level has been selected. (20%)

1. Examine the scatter plot. Does there appear to be a linear trend in the data? (5%)

2. Calculate and <strong>interpret</strong> the least square estimates of \( \beta_0 \) and \( \beta_1 \) for the linear model \( y = \beta_0 + \beta_1x + \varepsilon \). (10%)

3. Predict the number of sales for a month with 30 ads. (5%)

4. Calculate and interpret the value of r² for this data set. (5%)

5. If y and x were reversed in the above regression, what would you expect r2 to be? (5%)