orothy Kelly sells life insurance for the Prudence Insurance Company. She sells insurance by making visits to her clients homes. Dorothy believes that the number of sales should depend, to some degree, on the number of visits made. For the past several years, she kept careful records of the number of visits (x) she made each week and the number of people (y) who bought insurance that week. For a random sample of 15 such weeks, the x and y values follow.x122015152852014227152982516y113858256835106107In this setting we have Σx = 251, Σy = 97, Σx2 = 4943, Σy2 = 771, and Σxy = 1857.(a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to four decimal places.)x= y= b= ŷ= + xFind the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.)r = r2 = What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.) %(d) Test the claim that the population correlation coefficient ? is positive at the 1% level of significance. (Round your test statistic to three decimal places.)t =

Given, Σx = 251, Σy = 97, Σx2 = 4943, Σy2 = 771, and Σxy = 1857 and sample size (n)=15

Answered: Find x, y, b, and the equation of the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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orothy Kelly sells life insurance for the Prudence Insurance Company. She sells insurance by making visits to her clients homes. Dorothy believes that the number of sales should depend, to some degree, on the number of visits made. For the past several years, she kept careful records of the number of visits (x) she made each week and the number of people (y) who bought insurance that week. For a random sample of 15 such weeks, the x and y values follow.

x	12	20	15	15	28	5	20	14	22	7	15	29	8	25	16
y	1	13	8	5	8	2	5	6	8	3	5	10	6	10	7

In this setting we have Σx = 251, Σy = 97, Σx² = 4943, Σy² = 771, and Σxy = 1857.

(a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to four decimal places.)

x	=
y	=
b	=
ŷ	=	+ x

Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.)

r =
r² =

What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.)
%

(d) Test the claim that the population correlation coefficient ? is positive at the 1% level of significance. (Round your test statistic to three decimal places.)

t =

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