所屬科目：研究所、轉學考(插大)◆統計學
(1) Type I error (in hypothesis testing)
(2) Spurious correlation
(3) R squared \( (\mathbb{R}^2) \) (in regression analysis)
(1) Type I error
3. For Type I error, please name the most important reason why it may occur.
4. For R squared, please interpret the figures of \( \mathbb{R}^2 \)
Session 2 (15%)(1) Please interpret the Summer and Winter indexes.
(2) Find seasonal index for Spring.
(3) Based on these indexes, what kind of advice you would give to the restaurant owner in terms of operational management?
(1) Please calculate the correlation coefficient between economics scores and statistics scores.
(2) Now I want to use economics scores to estimate statistical scores. Please make a regression line based on the above data.
2. The patrol police at the Shulin Station on the second highway want to know if the average speed of the truck is too high. Today, 81 trucks were randomly selected to measure their speed, and found that the average speed was 105 kilometers per hour and the standard deviation was 6 kilometers per hour, and it was assumed that the population obeyed the normal distribution. Please answer the following question: Does the average speed of a truck exceed 100 kilometers per hour under a significant level of 0.05? (Please write the null hypothesis and the opposing hypothesis, then calculate the statistic value and P value, respectively, and explain your statistical results). (15 %)
(1) Please explain the significance of the estimated regression coefficients of X3 and X4, respectively.
(2) Please use a significance level of 0.05 to test the significance of the regression coefficients of X3 and X4, respectively.
(3) Please present the ANOVA table and then test whether the F-value of this regression model is significant.
(4) Please calculate the adjusted coefficient of determination of this regression model.
(5) Please calculate the mean squared error value of this model and explain its meaning.
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