Lexicographic preference is defined as (x4, yA) L (x,yB) if either > B or = xB and yA > yB. (a) What is an indifference curve for Lexicographic >L? (b) Illustrate that Lexicographic preference is not continuous.
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- What is the range of the relation {(2, 4), (3, 4), (4, 7), (5, 7), (6, 5)}?The manager of human resource department wants to see if there is anyrelationship between staffs’ salary (in 1000TK) and their experience (in years).---------------------------+| id salary experience ||--------------------------|| 1 15 15.5 || 2 18 17 || 3 16.5 17 || 4 16.3 18 || 5 22 19 ||--------------------------|| 6 19.9 18 || 7 24 20 || 8 18.5 18.5 || 9 28.3 22 || 10 17.5 19.5 ||--------------------------|| 11 24.5 19.5 || 12 16.2 17.5 |---------------------------------(a) Write down the regression model of salary on experience indicating dependentvariable, independent variables and the associated parameters.(b) Obtain the least squares estimates of the model parameters and interpret them.(c) Draw a scatter plot and the regression line in the same coordinate.(d) Obtain TSS, RSS and ESS.(e) Obtain R-square value and interpret the result.(f) Obtain the estimate of the error variance.(g) Obtain 95% confidence interval for slope and interpret it.(h) Test the hypothesis that there is…Discuss the relationship between differentiability and continuity in a short paragraph
- 8. A function is initially defined by the set of coordinate pairs {(-3,7), (1, 5), (4, 13)}. Which coordinate pair below, if added to this set, prevents the set from representing a function? (1) (2,5) (3) (-1, 8) (2) (5,0) (4) (1, – 4)What is the end behaviorIf p assigns a quantity x to a second quantity, y, what is the range if p(x) = 3(x – 6)² + 11.2? (-00, 11.2]; y 6 [11.2, 0o, ); y> 11.2