Suppose a researcher collects data for the following pair of variables. The researcher wants to make a scatterplot. Identify the response and explanatory variables. What would the researcher expect to see in the scatterplot? Discuss the direction, curvature, and variation. Measuring the lung capacity versus marathon time for a runner. The response variable is the marathon time and the explanatory variable is the lung capacity. The scatterplot should be expected to have a negative direction and be linear with small variation.
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- Solve the following problems based on the step-by-step procedure of the Non-Parametric Tests. Show complete solutions and answer. When nicotine is absorbed by the body, cotinine is produced. A measurement of cotinine in the body is therefore a good indicator of how much a person smokes. Listed below are the reported numbers of cigarettes smoked per day and the measured amounts of nicotine (in ng/ml). Is there a significant correlation at alpha = 0.05? x (cigarettes/day) 60 10 4 15 10 1 20 8 7 10 10 20 y (cotinine) 179 283 75.6 174 209 9.51 350 1.85 43.4 25.1 408 344Give the equation of the straight line whose normal vector is and which passes trough point P (9; 7).?⃗ ( - 4 ; 6 )Jóhannes plans to examine the salary of a middle manager in a large company. He collects data on salaries and how long they have been employed as middle managers with the aim of creating a model that can predict salaries with work experience. Jóhannes has data from 20 randomly selected middle managers who range from being new to the job to having 12 years of work experience. Jóhannes started by drawing the data and sees that the relationship is linear. He also calculates some light sizes that can be seen below: Convert Average Standard deviation Salary 761041 238473 Job experience 5,65 3,71 He also calculated the correlation coefficient between wages and work experience and obtained a r = 0.82. a) Find an equal regression line for Jóhannes's modelb) What is the explanatory power of the model and what does it tell us?c) How much does a middle manager's salary increase in five years according to the model?d) Use the model to predict the salary of a middle manager with 20 years…
- Find the length of the curve CA manufacturer obtained the following data relating the cost y (in dollars) to the number of units (x) of a commodity produced. UnitsProduced, x 0 20 40 60 80 100 Cost inDollars, y 200 208 222 230 242 250 (b) Derive an equation of the straight line of part (b). (c) Taking this equation to be an approximation of the relationship between the cost and the level of production, estimate the cost of producing 74 units of the commodity.The following data were used in a regression study. Observation 1 2 3 4 5 6 7 8 9 xi 2 3 4 5 7 7 7 8 9 yi 3 5 4 7 4 6 9 4 11 #1) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.) ŷ = #2)Do the assumptions about the error term seem to be satisfied? A) The plot suggests a funnel pattern in the residuals indicating that the error term assumptions are satisfied. B) The plot suggests curvature in the residuals indicating that the error term assumptions are not satisfied. C) The plot suggests a funnel pattern in the residuals indicating that the error term assumptions are not satisfied. D)The plot suggests a generally horizontal band of residual points indicating that the error term assumptions are not satisfied. E)The plot suggests curvature in the residuals indicating that the error term assumptions are satisfied.