SOLUTION: De Anza College Gross Domestic Product and Life Expectancy Questions

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Lecture 22 Find the equation of the lowest squares retrogression row for the abandoned postulates. (a) The caloric pleased and the sodium pleased (in milligrams) for 10 beef hot dogs. 1. Calories, x Sodium, y Answer: 150 420 170 470 120 350 120 360 90 270 180 550 170 530 140 460 90 380 110 330 ^ = 2.472x + 80.813 y (b) The apex (in feet) and stem transections (in inches) of 11 trees. Height, x Trunk transection, Answer: y 70 8.3 72 10.5 75 11.0 76 11.4 71 9.2 73 10.9 85 14.9 78 14.0 77 16.3 80 18.0 82 15.8 ^ = 0.560x -29.922 y The postulates in the board represents per capita Gross Domestic Product (GDP), in thousands of dollars, of ten randomly selected Western European countries and the identical conduct wait-forancy (in years) of their population. 2. Country Austria Belgium Finland France Germany Ireland Italy Netherlands Switzerland United Kingdom Per Capita GDP(thousands of dollars) 21.4 23.2 20.0 22.7 20.8 18.6 21.5 22.0 23.8 21.2 Life Trust (in years) 77.48 77.53 77.32 78.63 77.17 76.39 78.51 78.15 78.99 77.37 (a) Is it dispassionate to wait-for a cause-and-e ect correlativeness betwixt conduct wait-forancy and GDP? Explain. (b) Which of the two capriciouss is the vindication capricious? Explain. (c) Produce a disseminate contrive of the postulates and illustrate on its power, outline, and devise. (Read the size for the de nitions of power, outoutdirection and devise.) (d) Suppose an eleventh province is added to the list: Greece. Greece's GDP and conduct wait-forancy are 13,900 dollars and 78.44 years, respectively. Incorporate Greece in the disseminate contrive of keep-akeep-apart (c). What do you observe? Comment. (12.2.5) 3. For the GDP and conduct wait-forancy postulates, the emerge and the y -intercept for the equation of best- t are 0.42 and 68.715, respectively. Greece is extreme from the computations. (a) Write the equation of the best t-line. (b) In normal mathematics courses, the emerge of a row is repeatedly understanded as: `the vary in the y outdirection disjoined by the vary in the `x' outline'. An repeatedly used short-cut for this is rise/run. The emerge of a retrogression row is to mathematically understanded in a homogeneous way. However, in statistics, any understandations are to be executed among the `context of the completion at influence '. In light of this, how would you understand 0.42? (c) How would you understand the aim of the y -intercept? (12.4.1) (a) For the GDP and conduct wait-forancy postulates, abuse the predicted y for each appraise of x. (b) Abuse the hallucination associated delay each of the premonstrations. (12.4.5, 12.4.6) 4. An economist is conducting elaboration encircling the savings manners of American families. A random sample of ten families yields the aftercited (all quantities are in thousands of dollars): 5. X Y = annual income = annual savings 16 1.2 22 2.2 18 2.0 12 1.3 1 12 0.8 34 3.0 21 0.6 50 4.0 48 4.0 28 2.0 The aftercited statistics are abused: s x = 13.844 s y = 1.222 = 26:1 x = 2.11 y r = 0.924 (a) Produce a disseminate contrive of the postulates. (b) Write the equation of the lowest-squares retrogression row. Answer: y^ = 0.0816x -0.0187 (c) Predict y for x = 25. What does this premonstration average? (d) Predict y for x = 100. What does this premonstration average? Do you consider this premonstration? Explain. (12.P.6) 2 ...
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