Question

The median household income in the U.S. with the unemployment and poverty rates for various years from 1990 to 2003 are compared in the table. Median Household Unemployment Rate (%) Poverty Rate (%) Year Income ($1000) 1990 39 5.5 12 1992 38 7 14 1994 39 6.2 14 1996 41 5.2 13 1998 44 4.4 11 2000 42 4 10 2002 41 5.7 11 2003 40 6.2 12 (a) Use x unemployment rate and y poverty rate to obtain the regression equation. (Round coefficients to two decimal places.) y (x) Graph the associated points and regression line. (Do this on paper. Your instructor may ask you to turn in this work.) Does the graph suggest a relationship between x and y? OYes No (b) What does the slope tell you about the relationship between the unemployment rate and the poverty rate? Poverty rate Select by % for each 1% increase in the unemployment rate. (c) Use technology to obtain the coefficient of correlation r 38 7 14 1992 1994 39 6.2 14 1996 41 5.2 13 1998 44 4.4 11 2000 42 10 4 2002 41 5.7 11 2003 40 6.2 12 poverty rate to obtain the regression equation. (Round coefficients to two decimal plačes.) (a) Use x unemployment rate and y y (x)= Graph the associated points and regression line. (Do this on paper. Your instructor may ask you to turn in this work.) Does the graph suggest a relationship between x and y ? O Yes No (b) What does the slope tell you about the relationship between the unemployment rate and the poverty rate? Poverty rate Select-by % for each 1 % increase in the unemployment rate. (c) Use technology to obtain the coefficient of correlation r rm Does the value of r suggest a strong correlation between x and y? O No Yes Need Help? Read it Talk to a Tutor Watch It Practice it

Answer 1

A NSWER Umemployment rate (7.) feverty DX] 144 30.25 12 5-5 196 49 3844 14 98 86.8 7 196 14 G-2 169 27.09 t3 5.2 12 19:36 48.4 40 4.4 4 121 32 49 C2- 5-7 144 38 44 6 2 74.4 Eny543 9 x*= 251-02 Σy- Zy 97 Total: 2n 44-2 1611 Nons, the earebbion eqnatio ot y om X is given lzs n Iy (x)(2y) here Η ΣΥ- -* Gde . ΣΧ ΣΤ omd Here n8 8 543.9 44-2 x97 -() Ctep-2 1D 8251 62 63-8 54.52 97 1 44.2 5: 66 Fntioet Regesio 5.66 t 117 x 7)

the eation y 25.66 t l-17n - 4.84 O 5.66 -484 et relationahip hl nndy The raph de (b) The ape st Me eqnation y 5 66t117 s 117 This tells wr thtthe Poverty 9rate ()iereases 17. imerease in the nenploynet (Awo 97ate (x) The co-effieient of cannelation p ny(z) E y-(2r* defined as 44 2x 97 8 x 543.9 ( (49 0 79 a theare This vae et r carrelation bs ma y