R F = P-value for overall model = t1 = for bi, P-value = t2 = 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 = 0.01. O The overall regression model is not statistically significant at a = 0.01. Which of the regression coefficients are statistically different from zero? O neither regression coefficient is statistically significant O the slope for the first variable bi is the only statistically significant coefficient O the slope for the second variable bz is the only statistically significant coefficient O both regression coefficients are statistically significant

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 =
0.01.
X1 X2
53.2
50.8
61.2
91.9
84.6
66.8
62
57.8
61.9
46.4
43
70.1
59.1
65.5
56.5
72.6
61.7
62.7
69.5
70.4
63.7
70.9
70.6
64.9
68.6
61.5
61.1
54.7
57
49
34.6
43.9
45
67.2
This data set can be downloaded as a *.csv file: Download CSV.
41.6
44.4
R
F =
P-value for overall model =
ti =
for b1, P-value =
tą =
for b2, 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 = 0.01.
O The overall regression model is not statistically significant at a = 0.01.
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
the slope for the second variable bz is the only statistically significant coefficient
both regression coefficients are statistically significant
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 = 0.01. X1 X2 53.2 50.8 61.2 91.9 84.6 66.8 62 57.8 61.9 46.4 43 70.1 59.1 65.5 56.5 72.6 61.7 62.7 69.5 70.4 63.7 70.9 70.6 64.9 68.6 61.5 61.1 54.7 57 49 34.6 43.9 45 67.2 This data set can be downloaded as a *.csv file: Download CSV. 41.6 44.4 R F = P-value for overall model = ti = for b1, P-value = tą = for b2, 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 = 0.01. O The overall regression model is not statistically significant at a = 0.01. 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 the slope for the second variable bz is the only statistically significant coefficient both regression coefficients are statistically significant
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