You run a regression analysis on a bivariate set of data (n = 10). You obtain the regression equation y = 0.493x + 58.349 with a correlation coefficient of r = 0.877 (which is significant at a = 0.01). You want to predict what value (on average) for the explanatory variable will give you a value of 100 on the response variable. What is the predicted explanatory value? X = (Report answer accurate to one decimal place.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 23PFA
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You run a regression analysis on a bivariate set of data (n = 10). You obtain the regression equation
y = 0.493x + 58.349
with a correlation coefficient of r = 0.877 (which is significant at a = 0.01). You want to predict what value
(on average) for the explanatory variable will give you a value of 100 on the response variable.
What is the predicted explanatory value?
X =
(Report answer accurate to one decimal place.)
Transcribed Image Text:You run a regression analysis on a bivariate set of data (n = 10). You obtain the regression equation y = 0.493x + 58.349 with a correlation coefficient of r = 0.877 (which is significant at a = 0.01). You want to predict what value (on average) for the explanatory variable will give you a value of 100 on the response variable. What is the predicted explanatory value? X = (Report answer accurate to one decimal place.)
Based on the data shown below, calculate the correlation coefficient (rounded to three decimal places)
X
y
14.86
18.44
17.32
18.8
18.88
21.76
22.54
23.52
10
21.7
11 22.08
12 26.16
13 23.14
14 25.42
15 28.3
16
26.18
17 26.66
2
3
45
6
|7∞|9O
8
567
Transcribed Image Text:Based on the data shown below, calculate the correlation coefficient (rounded to three decimal places) X y 14.86 18.44 17.32 18.8 18.88 21.76 22.54 23.52 10 21.7 11 22.08 12 26.16 13 23.14 14 25.42 15 28.3 16 26.18 17 26.66 2 3 45 6 |7∞|9O 8 567
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