Question

The following are advertised sale prices of color televisions at an electronics store. Size (inches) 9 20 27 31 Sale Price ($) 137 177 267 447 1177 2177 2497 35 40 60 Part(a) Part (b) Part (c) O Part (d) Calculate the least squares line. Put the equation in the form of: û = a + bx. (Round your answers to three decimal places.) ý = -759.909 + 55.038 x x Part (0) Find the correlation coefficient r. (Round your answer to four decimal places.) 0.8 x Is it significant? Yes O No Part (1) Find the estimated sale price for a 33 inch television. (Use your equation from part (d). Round your answer to two decimal places.) $ Find the estimated sale price for a 52 inch television. (Use your equation from part (d). Round your answer to two decimal places.) $ Part (g) Part (h) Part () What is the slope of the least squares (best-fit) line? (Round your answer to three decimal places.) Interpret the slope. As the size of the television increases by one inch, the sale price increases by $

Answer 1

Answer: ile The following are advertised sale prices of colour televisions at an electronics store Size (inches) æ Sale Price Y 137 177 9 20 x.y 1233 3540 7209 267 27 31 35 40 447 1177 2177 2497 13857 41195 87080 149.820 60 x = 31.714 982.714 y = Ex= 222 Ex=6879 Exy= 303934 Ex² 15796 {y²= 12680863 The least squares line ů = atbae is where ba neay Cɛx) (eu) nex? -(ɛx] 7 ( 303934) - (222) (6879) 7 (15796)-(222) b = GOO 400 61288 9.796

9 - Y-biz - 9.796C31. 714) 982.714 - a: 672.043 :. The least squar line is Y=672.043 +9.796 port The (e) : correlation coefficient neay - ({x Cey) VENEXZ_(Ex)²] [ ney?-(E42] . = 7 (303934) - (222)(6879) [7 CIS796)-(222)[7(12680863)-687923 600400 V61288 X 414454.00 r - 0.3767 It is significant. It is significantly different from Zero. Port Cf); The estimcete sale price for a 33 inch television. put a = 33 inch. i. 672.04 3 + 9.796 (33) = 99 5. 311 YE

And, for a 52 inch The estimated Scale Price television is Put x=52 inch KT 672.043 +9.796.0.52) 1181.44 35 part ci : of the least The slope g. 796 Squares line is interpretation As the size of the television increase the one inch by sale price increases by 681.839 $ 682,