A researcher took a random sample of beef hotdogs and measured the amount of sodium (in mg) and calories contained in them. The results of a correlation and regression analysis are shown in the tables below: Correlation: Calories, Sodium Content Matrix Plot of Calories, Sodium Pearson Correlation 600 500 400 300 r = 0.946 p = 0.001 150 160 170 180 190 Calories Pairwise Pearson Correlations Sample 1 Sample 2 N Correlation 95% CI for p P-Value Sodium Calories 7 0.946 (0.670, 0.992) 0.001 Regression Analysis Durbin-Watson Statistic Durbin-Watson Statistic = 2.18902 Sodium

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Durbin-Watson Statistic
Durbin-Watson Statistic = 2.18902
Model Summary
S R-sq R-sq(adj) R-sq(pred)
31.1054 89.47% 87.37% 79.56%
Analysis of Variance
Source
DF Adj SS Adj MS F-Value P-Value
Regression 1 41109 41109.1 42.49
0.001
Calories
1 41109 41109.1 42.49
0.001
5 4838 967.5
6 45947
Error
Total
Coefficients
Term
Coef SE Coef T-Value P-Value VIF
Constant -487
144
-3.37 0.020
Calories 5.364
0.823
6.52
0.001 1.00
In the box below summarise the results of the analysis, commenting on the type of relationship that exists and whether it is statistically
significant. Give a summary of the the regression analysis carried out making reference to the regression equation and regression co-
efficent. Back your answer up with relevant data from the tables above.
Transcribed Image Text:Durbin-Watson Statistic Durbin-Watson Statistic = 2.18902 Model Summary S R-sq R-sq(adj) R-sq(pred) 31.1054 89.47% 87.37% 79.56% Analysis of Variance Source DF Adj SS Adj MS F-Value P-Value Regression 1 41109 41109.1 42.49 0.001 Calories 1 41109 41109.1 42.49 0.001 5 4838 967.5 6 45947 Error Total Coefficients Term Coef SE Coef T-Value P-Value VIF Constant -487 144 -3.37 0.020 Calories 5.364 0.823 6.52 0.001 1.00 In the box below summarise the results of the analysis, commenting on the type of relationship that exists and whether it is statistically significant. Give a summary of the the regression analysis carried out making reference to the regression equation and regression co- efficent. Back your answer up with relevant data from the tables above.
A researcher took a random sample of beef hotdogs and measured the amount of sodium (in mg) and calories contained in them. The
results of a correlation and regression analysis are shown in the tables below:
Correlation: Calories, Sodium Content
Matrix Plot of Calories, Sodium
Pearson Correlation
600
500
400
300
r = 0.946 p = 0.001
%3D
150
160
170
180
190
Calories
Pairwise Pearson Correlations
Sample 1 Sample 2 N Correlation 95% CI for p P-Value
Sodium Calories 7
0.946 (0.670, 0.992) 0.001
Regression Analysis
Durbin-Watson Statistic
Durbin-Watson Statistic = 2.18902
Sodium
Transcribed Image Text:A researcher took a random sample of beef hotdogs and measured the amount of sodium (in mg) and calories contained in them. The results of a correlation and regression analysis are shown in the tables below: Correlation: Calories, Sodium Content Matrix Plot of Calories, Sodium Pearson Correlation 600 500 400 300 r = 0.946 p = 0.001 %3D 150 160 170 180 190 Calories Pairwise Pearson Correlations Sample 1 Sample 2 N Correlation 95% CI for p P-Value Sodium Calories 7 0.946 (0.670, 0.992) 0.001 Regression Analysis Durbin-Watson Statistic Durbin-Watson Statistic = 2.18902 Sodium
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