Name: ID: Lecture: 4 Section: Multiple Choice Read the following information before answering Questions 1-2: Consider the following sets of (sorted) data. Each set has a sample size of seven. Set A: 1, 2, 3, 4, 5, 6, 7 Set B: 7, 7, 7, 7, 7, 7, 7 Set C: 1, 1, 1, 4, 7, 7, 7 Question 1 The distribution of Set A is A. Uniform B. Unimodal C. Bimodal Question 2 Which set has the SMALLEST standard deviation? A. Set A B. Set B C. Set C Question 3 If the point in the upper right hand corner of the scatterplot is removed from the data set, then what will happen to the slope of the line of best fit (b) and the correlation (r)? A. Both will increase. B. Both will decrease. C. b will increase, r will decrease. D. b will decrease, r will increase.Name: ID: Lecture: 4 Section: Question 4 Which is true of the data shown in the histogram? I. The distribution is skewed to the left. II. The mean is smaller than the median. III. We should use the median and IQR to summarize these data. A. I only B. II only C. III only D. II and III only E. I, II and III only Question 5 Suppose that a Normal model describes fuel economy (miles per gallon) for automobiles and that a Hummer has a standardized (z-score) of -3.3. This means that Hummers… A. Achieve fuel economy that is 3.3 standard deviations less than the average car. B. Get 3.3 miles per gallon less than the average car. C. Have a standard deviation of -3.3. D. Get 3.3 miles per gallon. Question 6 In a sample of 493 women who reported watching the Lifetime channel, their age was approximately normally distributed with a mean age of 40 years old and standard deviation of 8 years. This means that about 2.5% of the sample A. Are older than 48. B. Are younger than 24. C. Are between 40 and 48 years old. D. Are between 48 and 56 years old.Name: ID: Lecture: 4 Section: Read the following information before answering Questions 7-9: Michael played on his high school’s soccer team and basketball team last year. He made 18 goals throughout the soccer season and 28 baskets throughout the basketball season. The following summarize the total number of goals/baskets made by each team member throughout the season. Mean Standard Deviation Soccer (# goals) 10 4 Basketball (# baskets) 25 5 Question 7 What was Michael’s z-score in soccer? A. 2 B. -2 C. 8 D. -8 Question 8 Based on these statistics alone, is Michael a better soccer player or basketball player? A. Soccer player. B. Basketball player. C. Michael is equally good in soccer and basketball. D. His performance in soccer and basketball is not comparable. Question 9 This year, Michael’s basketball coach mandated extra practices for all team members who scored more than 1 standard deviation below the mean, in terms of the total number of baskets made the previous year. How many baskets did a basketball player need to score last season in order to get out of the extra practices? A. 15 B. 20 C. 25 D. 30Name: ID: Lecture: 4 Section: Read the following information before answering Questions 10-12: The manager of an ice cream shop recorded information about his customers over a one-week period. For each customer, he recorded the ice cream flavor they ordered (flavor preference), and whether they wanted it in a cone or a cup (container preference). The data is summarized in the table below. chocolate vanilla strawberry cone 144 180 36 cup 36 45 9 Question 10 What percentage of the customers preferred chocolate? A. 32% B. 40% C. 64% D. 80% Question 11 The conditional distribution of container preference for chocolate-lovers is represented by: A. Row totals B. Column totals C. Row percentages D. Column percentages E. Cell percentages Question 12 According to the data, are flavor preference and container preference independent? A. Yes B. No Question 13 A tire manufacturer believes that the treadlife of its snow tires can be described by a Normal model with a mean of 30,000 miles and standard deviation of 3,000 miles. What do we know about the IQR of this distribution? A. The IQR is between 27,000 and 33,000 miles. B. The IQR is between 3,000 and 6,000 miles. C. The IQR is larger than 6,000 miles. D. It does not make sense to calculate the IQR because the distribution is unimodal and symmetric.Name: ID: Lecture: 4 Section: Question 14 The five-number summary of credit hours for 24 students in an introductory statistics class is: Min Q1 Median Q3 Max 9.0 15.0 16.5 18.0 22.0 From this we know that A. There are no outliers in the data. B. There is at least one low outlier in the data. C. There is at least one high outlier in the data. D. None of the above. Question 15 If the correlation between two quantitative variables is approximately zero, which of the following are true? I. All the points would lie along a perfect straight line, with no deviation at all. II. The scatterplot could be a random cloud of points III. The scatterplot could be non-linear A. I only B. II only C. III only D. I and II only E. II and III only Question 16 Which plot could be used to examine the association between two categorical variables? A. Segmented Bar Chart B. Histogram C. Side-by-side boxplot D. Scatterplot Question 17 Which of the following is NOT a property of the least squares regression line? A. The sum of squared residuals is minimized. B. The sum of the residuals = 0. C. The sum of the distances between each point and the line is minimized. D. The average x value and the average y value lies on the line.Name: ID: Lecture: 4 Section: Question 18 According to the syllabus, which of the following are true? I. The lowest quiz score is dropped II. The lowest homework score is dropped III. The lowest lab score is dropped A. I only B. II only C. III only D. II and III only E. I, II, and IIIName: ID: Lecture: 4 Section: Free Response Question 1 Suppose that wildlife researchers monitor the Length and Weight of the local alligator population. Summary statistics are shown in the table below. They determine the best-fitting linear model to predict an alligator’s Weight in pounds from its Length in inches. The resulting residual plot is also shown below. Length (inches) Weight (pounds) Min 82 335 Max 158 907 Mean 132 650 St Dev 16 124 Correlation 0.89 a) (4 points) Find the equation of the least squares regression line used to predict Weight from Length. b) (2 points) Interpret the