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- Can the average rate of change of a function be constant?An individual’s income varies with his or her age. The following table shows the median income I of males of different age groups within the United States for 2012. For each age group, let the class midpoint represent theindependent variable, x. For the class “65 years and older,” we will assume that the class midpoint is 69.5. (a) Use a graphing utility to draw a scatter diagram of thedata. Comment on the type of relation that may existbetween the two variables.(b) Use a graphing utility to find the quadratic function ofbest fit that models the relation between age and medianincome.(c) Use the function found in part (b) to determine the age atwhich an individual can expect to earn the most income.(d) Use the function found in part (b) to predict the peakincome earned.(e) With a graphing utility, graph the quadratic function ofbest fit on the scatter diagram.The following graph shows the increase in the number of flu cases in a small city over time. (a) What is the average rate of change of the number of flu cases between 2 weeks and 5 weeks? (Round vour answer to the nearest whole number.) (b) Write a sentence that explains the meaning of the average rate of change in the context of this exercise. (Round vour answer to the nearest whole number.) Because the average rate of change is positive, the number of flu cases was increasing by an average rate of ? cases per week between 2 and 5 weeks after measurements began.
- I think it’s C. Please checkBefore you attempt this question, on your graphing calculator hit MODE and turn STATDIAGNOSTICS on! (Or hit 2nd-0 and find Diagnosticon in the catalog.) Juwan is investigating how long his phone's battery lasts (in hours) for various brightness levels (on a scale of 0-100). His data is displayed in the table and graph below. How's Brightness Level (x) Hours (y) 20 7 6 5 A 5 N 1 37 37 39 42 61 64 66 76 4.3 4.5 4.2 5.6 3.3 4.2 2.7 3.6 10 20 30 40 50 60 70 80 90 100 11 Brightness Level a) Find the equation for the line of best fit. Keep at least 4 decimals for each parameter in the equation. (You should begin by typing y=) b) Interpret the slope in context. ● Juwan should expect -0.0366 brightness level per hour. Juwan should expect -0.0366 hours per brightness level. c) What does the equation predict for the number of hours the phone will last at a brightness level of 42? hours d) Calculate the correlation coefficient r.A negative correlation means that as the values on X increase, the values on Y O increase decrease O stay the same both increase and decrease
- Calculate trend values by the method of least square from the data given below and estimate the sales for 1983 : Year 1976 1977 1978 1979 1980 : Sales of Co. ('000,000) : 70 74 80 86 90A residual plot has data points that are all very close to the x-axis. What does this say about the data?Which are the graphs for quantitative data?