PLEASE SEE ATTACHMENT

PLEASE SEE ATTACHMENT
WEEK 4 DISCUS SION: • Give two examples of how you use statistics in your life this week? • Your initial post should be at least 250 words, formatted and cited in current APA style with support from at least 2 academic sources . WEEK 4 ASSIGNMENT: Directions: Answer the questions below. When applicable, please show all your work. Section 4.2 1. (2 points) In the least -squares line ̂ = 5 − 2 , what is the value of the slope? When x changes by 1 unit, by how much does ̂ change? 2. (2 point s) In the least squares line ̂ = 5 + 3, what is the marginal change in ̂ for each unit change in x? 3. (2 point s) If two variables have a negative linear correlation, is the slope of the least -square s line positive or negative? Chapter Review 4. (4 points) Suppose that for x = 3 , the predicted value is ̂ = 6. The data pair (3, 8) is part of the sample data. What is the value of the residual for x = 3 ? Section 5.1 5. (2 point s) Statistical Literacy What is the probability of (a) an event A that is certain to occur? (b) an event B that is impossible? 6. (4 points) Roll a Die (a) If you roll a single die and count the number of dots on top, what is the sample space of all possible outcomes? Are the outcomes equally likely? (b) Assign probabilities to the outcomes of the sample space of part (a) Do the probabilities add up to 1? (b) Should they add up to 1? Explain. (c) What is the probability of getting a number less than 5 on a single throw? (d) What is the probability of getting 5 or 6 on a single throw? Section 5.3 (4 points) Use , = ! !(−)! to count the number of ways objects can be selected from objects when ordering is irrelevant. 7. (2 points) 5,2: = 5, = 2 8. (2 points) 8,3: = 8, = 3