A researcher would like to predict the dependent variable Y from the two independent variables X1 and X2 for a sample of N = 12 subjects. Use multiple linear regression to calculate the coefficient of multiple determination and test statistics to assess the significance of the regression model and partial slopes. Use a significance level a = 0.02. X1 X2 38.8 50.1 24.7 25.2 42.8 56.6 45.9 33.2 72.8 20.8 43.9 61.5 46.2 36.5 40.9 44.8 47.4 25.4 38.9 49 35.3 23.2 55 28.8 44.7 44.1 40 49.1 55.8 24.5 40.4 52.6 20 52.1 48.6 44.9 This data set can be downloaded as a *.csv file: Download CSV. R F = P-value for overall model = t1 for b1, P-value = t = for bz, P-value = What is your conclusion for the overall regression model (also called the omnibus test)? O The overall regression model is statistically significant at a = 0.02. O The overall regression model is not statistically significant at a = 0.02. Which of the regression coefficients are statistically different from zero? O neither regression coefficient is statistically significant O the slope for the first variable bị is the only statistically significant coefficient O the slope for the second variable bz is the only statistically significant coefficient
A researcher would like to predict the dependent variable Y from the two independent variables X1 and X2 for a sample of N = 12 subjects. Use multiple linear regression to calculate the coefficient of multiple determination and test statistics to assess the significance of the regression model and partial slopes. Use a significance level a = 0.02. X1 X2 38.8 50.1 24.7 25.2 42.8 56.6 45.9 33.2 72.8 20.8 43.9 61.5 46.2 36.5 40.9 44.8 47.4 25.4 38.9 49 35.3 23.2 55 28.8 44.7 44.1 40 49.1 55.8 24.5 40.4 52.6 20 52.1 48.6 44.9 This data set can be downloaded as a *.csv file: Download CSV. R F = P-value for overall model = t1 for b1, P-value = t = for bz, P-value = What is your conclusion for the overall regression model (also called the omnibus test)? O The overall regression model is statistically significant at a = 0.02. O The overall regression model is not statistically significant at a = 0.02. Which of the regression coefficients are statistically different from zero? O neither regression coefficient is statistically significant O the slope for the first variable bị is the only statistically significant coefficient O the slope for the second variable bz is the only statistically significant coefficient
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Question
Transcribed Image Text:A researcher would like to predict the dependent variable Y from the two independent variables
X1 and X2 for a sample of N = 12 subjects. Use multiple linear regression to calculate the
coefficient of multiple determination and test statistics to assess the significance of the regression
model and partial slopes. Use a significance level a = 0.02.
X1
X2
38.8
50.1
24.7
25.2
42.8
56.6
45.9
33.2
72.8
20.8
43.9
61.5
46.2
36.5
40.9
44.8
47.4
25.4
38.9
49
35.3
23.2
55
28.8
44.7
44.1
40
49.1
55.8
24.5
40.4
52.6
20
52.1
48.6
44.9
This data set can be downloaded as a *.csv file: Download CSV.
R
F =
P-value for overall model =
t1
for b1, P-value =
t =
for bz, P-value =
What is your conclusion for the overall regression model (also called the omnibus test)?
O The overall regression model is statistically significant at a = 0.02.
O The overall regression model is not statistically significant at a = 0.02.
Which of the regression coefficients are statistically different from zero?
O neither regression coefficient is statistically significant
O the slope for the first variable bı is the only statistically significant coefficient
the slope for the second variable bą is the only statistically significant coefficient
O both regression coefficients are statistically significant
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