A researcher computes the following analysis of regression table. Based on the data given, what is...
A researcher computes the following analysis of regression table. Based on the data given, what is the decision for this test at a .05 level of significance? (Note: Complete the table first.) Source of Variation SS df MS F Regression 1 28 Residual Total 118 19 A) X significantly predicts Y. B) X does not significantly predict Y. C) There is not enough information to answer this question.
Homework Answers
Option A is correct
A) X significantly predicts Y
linear regression model: y=Bo+B1X+Ę . When determining whether x significantly influences y, the null hypothesis takes the form
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A researcher computes the following analysis of regression
table. Based on the data given, what is...
The following table is the output of multiple linear regression analysis. a. Use the table to...
The following table is the output of multiple linear regression
analysis.
a. Use the table to report the F statistic. What is its degree of
freedom? What is the number of observations.
b. Find the p-value related to F on the computer output and report
its value. Using the p-value, test the significance of the
regression model at the .10, .05, .01, and .001 levels of
significance. What do you conclude?
Please show work and explain each step!
df ANOVA...
A simple linear regression (linear regression with only one predictor) analysis was carried out using a...
A simple linear regression (linear regression with only one predictor) analysis was carried out using a sample of 23 observations From the sample data, the following information was obtained: SST = [(y - 3)² = 220.12, SSE= L = [(yi - ġ) = 83.18, Answer the following: EEEEEEEE Complete the Analysis of VAriance (ANOVA) table below. df SS MS F Source Regression (Model) Residual Error Total Regression standard error (root MSE) = 8 = The % of variation in the...
Based on the ANOVA table given, is there enough evidence at the 0.05 level of significance...
Based on the ANOVA table given, is there enough evidence at the 0.05 level of significance to conclude that the linear relationship between the independent variables and the dependent variable is statistically significant? ANOVA Source df SS MS F Significance F Regression 33 334.126370334.126370 111.375457111.375457 0.7082900.708290 0.5813510.581351 Residual 66 943.473630943.473630 157.245605157.245605 Total 99 1277.6000001277.600000 Yes or No?
Based on the ANOVA table given, is there enough evidence at the 0.050.05 level of significance...
Based on the ANOVA table given, is there enough evidence at the 0.050.05 level of significance to conclude that the linear relationship between the independent variables and the dependent variable is statistically significant? ANOVA Source df SS MS F Significance F Regression 3 334.126370 111.375457 0.708290 0.5813510 Residual 6 943.473630 157.245605 Total 9 1277.600000 question: YES OR NO????
A regression model relating x, number of salespersons at a branch office, to y, annual sales...
A regression model relating x, number of salespersons at a branch office, to y, annual sales at the office (in thousands of dollars) provided the following computer output from a regression analysis of the data. Where n total=26. a. Write the estimated regression equation (to whole number). y=_____+_____x b. Compute the F statistic and test the significance of the relationship at a .05 level of significance. (to 2 decimals) F-value ____ p-value is _______, we _________ h0 c. Compute the...
Use the following ANOVA table for regression to answer the questions. Analysis of Variance Source DF...
Use the following ANOVA table for regression to answer the
questions.
Analysis of Variance
Source
DF
SS
MS
F
P
Regression
1
3404.5
3404.5
22.3
0.000
Residual Error
174
26569.8
152.7
Total
175
29974.3
Give the F-statistic and p-value.
Enter the exact answers.
The F-statistic is ?
The p-value is ?
Choose the conclusion of this test using a 5% significance
level.
Reject H0. The model is effective.
Do not reject H0. We did not find evidence that the model...
Use the following ANOVA table for regression to answer the questions. Analysis of Variance Source DF...
Use the following ANOVA table for regression to answer the questions. Analysis of Variance Source DF SS MS F P Regression 1 289.0 289.0 2.01 0.158 Residual Error 174 25021.2 143.8 Total 175 25310.2 Give the F-statistic and p-value. Enter the exact answers. The F-statistic is . The p-value is Choose the conclusion of this test using a 5% significance level. Do not reject H0. We did not find evidence that the model is effective. Reject H0. The model is...
Consider the ANOVA table that follows. Analysis of Variance Source DF SS MS F Regression 5...
Consider the ANOVA table that follows. Analysis of Variance Source DF SS MS F Regression 5 3,931.60 786.32 14.34 Residual Error 50 2,742.06 54.84 Total 55 6,673.66
Suppose a random sample of 28 runners was measured on the number of minutes it took...
Suppose a random sample of 28 runners was measured on the number of minutes it took to run 1.5 miles, resting heart rate (centered at the mean of 54), and age (centered at the mean of 49). The following regression equation was obtained: runtime_hat = 10.82 + .05(restpulse -54) + .11(age-49). Conduct an F-test for model at the alpha = .05 significance level. Round answers to two decimal places. Source SS df MS F Regression 23.23 Residual 48.84 Total What...
The commercial division of a real estate firm is conducting a regression analysis of the relationship...
The commercial division of a real estate firm is conducting a regression analysis of the relationship between x, annual gross rents (in thousands of dollars), and y, selling price (in thousands of dollars) for apartment buildings. Data were collected on several properties recently sold and the following computer output was obtained. The regression equation is Y=20.0 + 7.21 X Predictor Constant Coef 20.000 7.210 SE Coef 3.2213 1.3625 T 6.21 5.29 Analysis of Variance SOURCE Regression Residual Error Total SS...
The following table is the output of multiple linear regression
analysis.
a. Use the table to report the F statistic. What is its degree of
freedom? What is the number of observations.
b. Find the p-value related to F on the computer output and report
its value. Using the p-value, test the significance of the
regression model at the .10, .05, .01, and .001 levels of
significance. What do you conclude?
Please show work and explain each step!
df ANOVA...
A simple linear regression (linear regression with only one predictor) analysis was carried out using a sample of 23 observations From the sample data, the following information was obtained: SST = [(y - 3)² = 220.12, SSE= L = [(yi - ġ) = 83.18, Answer the following: EEEEEEEE Complete the Analysis of VAriance (ANOVA) table below. df SS MS F Source Regression (Model) Residual Error Total Regression standard error (root MSE) = 8 = The % of variation in the...
Use the following ANOVA table for regression to answer the
questions.
Analysis of Variance
Source
DF
SS
MS
F
P
Regression
1
3404.5
3404.5
22.3
0.000
Residual Error
174
26569.8
152.7
Total
175
29974.3
Give the F-statistic and p-value.
Enter the exact answers.
The F-statistic is ?
The p-value is ?
Choose the conclusion of this test using a 5% significance
level.
Reject H0. The model is effective.
Do not reject H0. We did not find evidence that the model...
The commercial division of a real estate firm is conducting a regression analysis of the relationship between x, annual gross rents (in thousands of dollars), and y, selling price (in thousands of dollars) for apartment buildings. Data were collected on several properties recently sold and the following computer output was obtained. The regression equation is Y=20.0 + 7.21 X Predictor Constant Coef 20.000 7.210 SE Coef 3.2213 1.3625 T 6.21 5.29 Analysis of Variance SOURCE Regression Residual Error Total SS...
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