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The table shows (lifetime) peptic ulcer rates (per 100 population) for various family incomes as reported by the National Health Interview Survey.
Income | Ulcer rate (per 100 population) |
$4, 000 $6, 000 $8, 000 $12, 000 $16, 000 $20, 000 $30, 000 $45, 000 $60, 000 |
14.1 13.0 13.4 12.5 12.0 12.4 10.5 9.4 8.2 |
(a) Make a
(b) Find and graph a linear model using the first and last data points.
(c) Find and graph the least squares regression line.
(d) Use the linear model in part (c) to estimate the ulcer rate for an income of $25, 000.
(e) According to the model, how likely is someone with an income of $80, 000 to suffer from peptic ulcers?
(f) Do you think it would be reasonable to apply the model to someone with an income of $200, 000?
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Chapter 1 Solutions
Bundle: Calculus, Loose-Leaf Version, 8th + WebAssign Printed Access Card for Stewart's Calculus, 8th Edition, Multi-Term
- Complete the square and find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) dx x²-12x+27arrow_forwardComplete the table. Enter DNE if a quantity doesn't exist or NEI if not enough information is given. f(c) limx-->c- f(x) limx-->c+ f(x) limx -->c f(x) continuity at x=c 2 4arrow_forwardFind the indefinite integral. (Use C for the constant of integration.) 9x arcsin(x) dxarrow_forward
- Find the indefinite integral using the substitution x = 5 sin(e). (Use C for the constant of integration.) 1 dx (25-x²)3/2arrow_forwardFind the indefinite integral using the substitution x = 7 sec(0). (Use C for the constant of integration.) √ ׳ √x² - 49 dxarrow_forward2 Graph of h 6. The graph of the function h is given in the xy-plane. Which of the following statements is correct? , the graph of h is increasing at an increasing rate. (A) For (B) For (C) For 苏|4 K|4 π π , the graph of h is increasing at a decreasing rate. 2 0 and b>1 (B) a>0 and 01 (D) a<0 and 0arrow_forward3. Consider the sequences of functions fn: [-T, π] → R, sin(n²x) n(2) n (i) Find a function f : [-T, π] R such that fnf pointwise as n∞. Further, show that f uniformly on [-T,π] as n→ ∞. [20 Marks] (ii) Does the sequence of derivatives f(x) has a pointwise limit on [-7,π]? Justify your answer. [10 Marks]arrow_forwardGood Day, Please assist with the following. Regards,arrow_forwardFor each given function f(x) find f'(x) using the rules learned in section 9.5. 1. f(x)=x32 32x 2. f(x)=7x+13 3. f(x) = x4 4. f(x) = √√x³ 5. f(x) = 3x²+ 3 x2arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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