28.) Use the screenshot of the analysis below to indicate the correct conclusion for the individual test. Regression Statistics Multiple R: 0.397004273 R Square: 0.157612393 Adjusted R Square: 0.140062651 Standard Error: 6864.924523 Observations: 50 ANOVA df SS MS F Significance F Regression: 1 Residual: 48 Total: 49 SS: 423244344.5 MS: 4.23E+08 F: 8.980895 Significance F: 0.004309347 SS: 226210505847127189 MS: 2685349402 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept: 83083.316 Standard Error: 7644.77898 t Stat: 10.86798 P-value: 1.55E-14 Lower 95%: 67712.45767 Upper 95%: 98454.17677 Lower 95.0%: 67712.45767 Upper 95.0%: 98454.17677 X Variable: 4.623164043 Standard Error: 1.542692928 t Stat: 2.996814 P-value: 0.004309 Lower 95%: 1.521372022 Upper 95%: 7.724956 Lower 95.0%: 1.521372
Added by Enrique W.
Close
Step 1
The Multiple R value is 0.397, which indicates a moderate positive correlation between the independent and dependent variables. The R Square value is 0.158, which means that approximately 15.8% of the variance in the dependent variable can be explained by the Show more…
Show all steps
Your feedback will help us improve your experience
Sri K and 89 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Here is another set of regression results, for a generic dependent variable (DV) called "and" and a generic independent variable (IV) called "SUMMARY OUTPUT". Regression Statistics: Multiple R-squared: 0.9855694 Adjusted R-squared: 0.0971347 Standard Error: 20.5897879 Observations: 959 ANOVA: Significance F: 299.3986 P-value: 0.70523 F-statistic: 0.40348 Residuals: 423.9394 Regression: Coefficient: 299.3986 Residual: 30523.63 Total: 30823.03 Standard Error: Upper: 54.73852 Lower: 33.98516 Coefficients: 44.3618365 0.1587303 t Stat: 8.522351 P-value: 1.62E-12 Intercept: 5.205352 0.18888 7) How many observations were in this dataset? 8) Follow the four steps in Chapter 14: Handout #2 to perform the hypothesis test to answer the following question: Is there a statistically significant relationship between ~ and x? Use a significance level of 0.05. The guidelines from the test in Question #1 apply here too. 9) Given your result in Question #8, how do you appropriately continue interpreting this model?
Sri K.
Regression Statistics Multiple R 0.4415 R Square 0.1949 Adjusted R Square 0.14 Standard Error 5.28 Observations 48 ANOVA df SS MS F Significance F Regression 3 297 0.0218565 Residual 44 1227 Total 47 1524 Coefficients Standard Error t Stat P-value Intercept -7.4 3.9 -1.9 0.064 x1 -6.3 3.4 -1.85 0.071 x2 5.4 3.5 1.54 0.1307 x3 2.6 3.5 0.74 0.4632 Suppose that the hypothesis test below is carried out: H0 : Ě‚Ě‘1 = Ě‚Ě‘2 = Ě‚Ě‘3 = 0 H1 : At least one nonzero Find the test statistic and the corresponding p-value. Test Statistic = p-Value =
Madhur L.
Summary Output Regression Statistics Multiple R: 0.7732 R Square: 0.5978 Adjusted R Square: 0.5476 Standard Error: 3.0414 Observations: 10 ANOVA df SS MS F Significance F Regression: 1 110 110 11.892 0.009 Residual: 8 74 9.25 Total: 9 184 Coefficients Standard Error t Stat P-value Intercept: 39.222 5.942 6.600 0.000 x: -0.556 0.161 -3.448 0.009 e. 59.783% of the variability in Y is explained by the variability in X. a. What has been the sample size for the above? b. Perform a t test and determine whether or not X and Y are related. Let α = 0.05. c. Perform an F test and determine whether or not X and Y are related. Let α = 0.05. d. Compute the coefficient of determination. e. Interpret the meaning of the value of the coefficient of determination that you found in d. Be very specific.
Krishna G.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD