داد *** 9m 10 21 17 13 28 5 20 r- : 7 7 $ 25 USE SALT . 2 = 2500 2 = 99 22 - 4,948 12 - 763: Ey = 1,882 (a) Find y. b. and the equation of the least-squares line. (Round your answers for and y to two decimal places. Round your least-squares estimates to three decimal places) .. O 15 10 (b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram. 10 3 " 22 3 13 20 25 3 10 15 20 25 30 میرا با خدا What percentage of variation 15 29. 10 10 bre تر 16 3 10 20 23 ار (c) Find the sample correlation coefficient and the coefficient of determination. (Round your answers to three decimal places.) r 10 15 20 25 30 of variation in y is explained by the least-squares model? (Round your answer to one decimal place.) (d) In a week during which Dorothy makes 23 visits, how many people do you predict will buy insurance from her? (Round your answer to one decimal place.) people

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Dorothy 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 nu
the x and y values follow.
O
ý=
y
USE SALT
2 =
O
O
15
Σx = 250; Σy = 99; Σx2 = 4,948; Σy2 = 763; Σxy = 1,882
(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 three decimal places.)
10
10
3
y
15
(b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram.
y
y
10
21 17
12
5
5
13
7
10
10
28 5
8
2
15
15
20
20 14
6
20
25
22 7
8
3
30
25 30
15
5
O
29 8 25 16
10 6 10
10
Ex
15
10
5 10
5
10
15 20
15 20
25 30
25
30
(c) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.)
What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.)
%
(d) In a week during which Dorothy makes 23 visits, how many people do you predict will buy insurance from her? (Round your answer to one decimal place.)
people
Transcribed Image Text:Dorothy 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 nu the x and y values follow. O ý= y USE SALT 2 = O O 15 Σx = 250; Σy = 99; Σx2 = 4,948; Σy2 = 763; Σxy = 1,882 (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 three decimal places.) 10 10 3 y 15 (b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram. y y 10 21 17 12 5 5 13 7 10 10 28 5 8 2 15 15 20 20 14 6 20 25 22 7 8 3 30 25 30 15 5 O 29 8 25 16 10 6 10 10 Ex 15 10 5 10 5 10 15 20 15 20 25 30 25 30 (c) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.) What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.) % (d) In a week during which Dorothy makes 23 visits, how many people do you predict will buy insurance from her? (Round your answer to one decimal place.) people
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