The following data were collected during a study of consumer buying patterns: Observation 1 Observation 8 2 9 3 4 5 6 7 X 18 26 41 35 56 46 33 y= y 69 81 85 77 95 93 86 10 11 12 13 X 19 14 10. 25 21 29 b. Obtain a linear regression line for the data.(Round your intermediate calculations and final answers to 3 decimal places.) X y 81 75 76 83 86 90 y= c. What percentage of the variation is explained by the regression line? (Do not round intermediate calculations. Round your answer to the nearest whole percent. Omit the "%" sign in your response.) Approximately % of the variation in the dependent variable is explained by the independent variable. d. Use the equation determined in part b to predict the expected value of y for x = 44. (Round your intermediate calculations and final answers to 3 decimal places.)

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The following data were collected during a study of consumer buying patterns:
Observation
1
2
y=
M4567
3
y=
26
+
35
56
46
33
y
69
81
85
95
93
86
Observation
X
10
11
12
13
X
19
b. Obtain a linear regression line for the data.(Round your intermediate calculations and final answers to 3 decimal places.)
10
25
21
y
81
75
76
86
90
c. What percentage of the variation is explained by the regression line? (Do not round intermediate calculations. Round your answer
to the nearest whole percent. Omit the "%" sign in your response.)
Approximately
% of the variation in the dependent variable is explained by the independent variable.
d. Use the equation determined in part b to predict the expected value of y for x = 44. (Round your intermediate calculations and
final answers to 3 decimal places.)
Transcribed Image Text:The following data were collected during a study of consumer buying patterns: Observation 1 2 y= M4567 3 y= 26 + 35 56 46 33 y 69 81 85 95 93 86 Observation X 10 11 12 13 X 19 b. Obtain a linear regression line for the data.(Round your intermediate calculations and final answers to 3 decimal places.) 10 25 21 y 81 75 76 86 90 c. What percentage of the variation is explained by the regression line? (Do not round intermediate calculations. Round your answer to the nearest whole percent. Omit the "%" sign in your response.) Approximately % of the variation in the dependent variable is explained by the independent variable. d. Use the equation determined in part b to predict the expected value of y for x = 44. (Round your intermediate calculations and final answers to 3 decimal places.)
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