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Dependent variable is Price R-squared = 59.5% s = 53.79 with 1064 - 2 = 1062 degrees of freedom Variable Coefficient SE(Coeff) t-Ratio Intercept -3.11686 P-Value 4.688 -0.665 0.5063 Size 94.4539 2.393 39.5 50.0001

Dependent variable is Price R-squared = 59.5% s = 53.79 with 1064 - 2 = 1062 degrees of freedom Variable Coefficient SE(Coeff) t-Ratio Intercept -3.11686 P-Value 4.688 -0.665 0.5063 Size 94.4539 2.393 39.5 50.0001

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 62CR
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This question (attached) is from intro stats 5th edition book by Deveaux. I am looking to understand Question 24 part b. I have the answer, but I want to understand the relationship between the intercept and the p-value. 

CHAPTER 20 Inferences for Regression 675 300 .00 - 150 E -0.75 - 0+ -1.50 150 .25 Predicted (E/T 6.00 6.75 1.50 125 250 375 500 Predicted 0.75 400 00- 300 -0.75 200 100 -1.50 + -300 -50 200 Residuals ($1000s) -1.25 0.00 1.25 a) Explain in context what the regression says. b) The intercept is negative. What does this mean? (Hint: nscores a) Explain in co ext what the regression say b) Check the aamptions and conditions for ression inference. c) The outp eports s = 0.68295. Expl what that means in this cont. d) What he value of the standard er of the slope of the regro on line? e) Explain what that means in this text. f) Does this analysis prove that gleal temperature changes are causing sea ice to melt? Explain. Notice the P-value.) c) The output reports s = 53.79. Explain what that means in this context. d) What's the value of the standard error of the slope of the regression line? e) Explain what that means in this context. mputer outpuexamining 25. More sea ice Exercise 23 show the association between Arcti ice extent a obalcan temperature. Find a 95% ence intery the sl and interpret it in context. 24. Saratoga house prices How does the price of a house depend on its size? Data from Saratoga, New York, on 1064 randomly selected houses that had been sold include data on price ($1000s) and size (1000 ft2), producing the following graphs and com- amining 26. Second home Exe e 24 shows puter outpy the association b en the sizes ouses and sale prices. a) Check the umptions and nditions for rence. b) Find a 9 confidence i val for the sl and interpret it puter output: 800 in con ॐ 600 27. Hot de Healthy eat probably does include hot dogs, but if u are going tave one, you'dobably hope it's in b calories an odium. Recent Consumer Repo listed the number calories and so m content (in mi ms) for 13 brands o1-beef hot dogs tested. Examine association,aming that the d satisfy the cond for infereng 2 400 200 - ns Dependen able is Sodium R-squar 60.5% s = 5with 13 - 2 = 11 grees of freedom 1.25 2.50 3.75 5.00 Size (1000 ft?) Dependent variable is Price R-squared = 59.5% s = 53.79 with 1064 - 2 = 1062 degrees of freedom Varia Coefficient Con t Calories Coef) 77.69 t-Ratio -Value 90.9783 1.17 0.2663 2.29959 0.5607 4.1 0.0018 Variable Coefficient SE(Coeff) t-Ratio P-Value a) State the appropte hypotheses ab the slope. b) Test your hypoeses and state yo conclusion in the proper Intercept -3.11686 4.688 -0.665 0.5063 Size 94.4539 2.393 39.5 S0.0001 context. (s,000IS) aoud Residuals # of Houses
Transcribed Image Text:CHAPTER 20 Inferences for Regression 675 300 .00 - 150 E -0.75 - 0+ -1.50 150 .25 Predicted (E/T 6.00 6.75 1.50 125 250 375 500 Predicted 0.75 400 00- 300 -0.75 200 100 -1.50 + -300 -50 200 Residuals ($1000s) -1.25 0.00 1.25 a) Explain in context what the regression says. b) The intercept is negative. What does this mean? (Hint: nscores a) Explain in co ext what the regression say b) Check the aamptions and conditions for ression inference. c) The outp eports s = 0.68295. Expl what that means in this cont. d) What he value of the standard er of the slope of the regro on line? e) Explain what that means in this text. f) Does this analysis prove that gleal temperature changes are causing sea ice to melt? Explain. Notice the P-value.) c) The output reports s = 53.79. Explain what that means in this context. d) What's the value of the standard error of the slope of the regression line? e) Explain what that means in this context. mputer outpuexamining 25. More sea ice Exercise 23 show the association between Arcti ice extent a obalcan temperature. Find a 95% ence intery the sl and interpret it in context. 24. Saratoga house prices How does the price of a house depend on its size? Data from Saratoga, New York, on 1064 randomly selected houses that had been sold include data on price ($1000s) and size (1000 ft2), producing the following graphs and com- amining 26. Second home Exe e 24 shows puter outpy the association b en the sizes ouses and sale prices. a) Check the umptions and nditions for rence. b) Find a 9 confidence i val for the sl and interpret it puter output: 800 in con ॐ 600 27. Hot de Healthy eat probably does include hot dogs, but if u are going tave one, you'dobably hope it's in b calories an odium. Recent Consumer Repo listed the number calories and so m content (in mi ms) for 13 brands o1-beef hot dogs tested. Examine association,aming that the d satisfy the cond for infereng 2 400 200 - ns Dependen able is Sodium R-squar 60.5% s = 5with 13 - 2 = 11 grees of freedom 1.25 2.50 3.75 5.00 Size (1000 ft?) Dependent variable is Price R-squared = 59.5% s = 53.79 with 1064 - 2 = 1062 degrees of freedom Varia Coefficient Con t Calories Coef) 77.69 t-Ratio -Value 90.9783 1.17 0.2663 2.29959 0.5607 4.1 0.0018 Variable Coefficient SE(Coeff) t-Ratio P-Value a) State the appropte hypotheses ab the slope. b) Test your hypoeses and state yo conclusion in the proper Intercept -3.11686 4.688 -0.665 0.5063 Size 94.4539 2.393 39.5 S0.0001 context. (s,000IS) aoud Residuals # of Houses
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