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- Given the following data table: X Y 21 68 72 55 38 59 57 57 45 61 What is the correlation between X and Y? Include 3 decimal places in your answer.For each of the following scenarios, indicate whether the relationship between the two variables is positive or negative, as well as which line on the previous graph has a slope that reflects this type of relationship. Hint: The X-axis and Y-axis on the graph are not labeled intentionally. You need to substitute the variables from each scenario for the horizontal and vertical axis. For example, in the first scenario, X-axis should be labeled “ ice-cream" and Y-axis should be labeled "The temperature". Relationship options: positive, negative Line options: A, B, C, D True or False: Line D has a slope of infinity.Suppose that in the country of Sudland, when the yearly rate of economic growth fell from 3.0% to 1.5%, the yearly rate of increase in airborne pollutants fell from 6% to 5%. What is the average slope of a nonlinear curve between these points using the arc method? The average slope is
- The last set of questions are based on the following equation: Y = 0.5 + 1.2 X + 0.75 Z + 0.25 X Z. > If Z = 1, how much does Y change when you change X by 1? > If X = 2, how does Y change when you change Z by 1?Suppose the following equation describes the relationship between the average number of classes missed during a semester (missed) and the distance from school (distance, measured in miles): missed = 3 +0.2 distance (i) Sketch this line, being sure to label the axes. How do you interpret the intercept in this equation? (ii) What is the average number of classes missed for someone who lives five miles away? (iii) What is the difference in the average number of classes missed for someone who lives 10 miles away and someone who lives 20 miles away?Simplify the following, using the rules of exponents i) x9. x8 ii) x5 . x-9 iii) x-11. x iv) x6 . x0.15 v)?5/?−3 vi)?−4/?−7 vii)?−3/?−4 viii)?9/√? ix) (?−4)−5 x) (?−0.4)−2 xi)1/?−1.5. 1/?−2.5 xii)?−3.5/?−2.2
- Please explain to me what every different variable means in this questionThe variable shown on the vertical axis is _________ . The units for the variable on the horizontal axis are __________ . There are two ways to view the information presented on the graph. First, the graph tells us the amount a person with a certain income is likely to spend on a car, and second, it tells us the probable income of a person who spent a certain amount on a car. For example, if an individual earned $40,000 last year and purchased a new car, you would expect that person to have paid about _________ for the car. Similarly, if someone just paid $25,000 for a car, you could use this graph to estimate that this person's income was probably around __________ .Assume our standard model. Both Meb and Des have 5 hours. In an hour, Meb can knit 5 scarves or 4 hats. In an hour, Des can knit 6 scarves or 6 hats. If they are efficiently producing 37 scarves, how many hats are they making? Enter a number (and only a number, no units) rounded to two decimal places. If your answer is 1.275, enter 1.28.
- We have estimated the impact of gross domestic product (GDP), energy consumption (ENERGY) and population (POP) on CO2 emiisions (CO2) in Cyprus. The results are as follows;Dependent Variable: CO2Method: Least SquaresDate: 04/20/17 Time: 09:46Sample: 1990 2013Included observations: 24 Write down the economic function for the above estimation by using the information obtained from above table b- Write down the economic model for the above estimation by using the information obtained from above table . c- Write down the econometric model for the above estimation by using the information obtained from above table d- Write down the least squares line by using the information obtained from above tablee- Explain what each coefficient of the least squares line indicatesGiven the function f(x) = ln (x+1), x>0 In applying mathematical methods to economics/business problems, we use a broad menu of functions for the purpose of accurately specifying the properties of the economic variables in question. Find an example that you can use the above function to describe certain economic or business activity.In the formula ke >= (D1/P0) + g, what does (D1/P0) represent?