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 Regression675300.00 -150E -0.75 -0+-1.50150.25Predicted (E/T6.006.75 1.50125250375500Predicted0.7540000-300-0.75200100-1.50 +-300-50200Residuals ($1000s)-1.250.001.25a) Explain in context what the regression says.b) The intercept is negative. What does this mean? (Hint:nscoresa) Explain in co ext what the regression sayb) Check the aamptions and conditions for ression inference.c) The outp eports s = 0.68295. Expl what that means inthis cont.d) What he value of the standard er of the slope of theregro on line?e) Explain what that means in this text.f) Does this analysis prove that gleal temperature changes arecausing sea ice to melt? Explain.Notice the P-value.)c) The output reports s = 53.79. Explain what that means inthis context.d) What's the value of the standard error of the slope of theregression line?e) Explain what that means in this context.mputer outpuexamining25. More sea ice Exercise 23 showthe association between Arcti ice extent a obalcantemperature. Find a 95% ence intery the sl andinterpret it in context.24. Saratoga house prices How does the price of a house dependon its size? Data from Saratoga, New York, on 1064 randomlyselected houses that had been sold include data on price ($1000s)and size (1000 ft2), producing the following graphs and com-amining26. Second home Exe e 24 shows puter outpythe association b en the sizes ouses and saleprices.a) Check the umptions and nditions for rence.b) Find a 9 confidence i val for the sl and interpret itputer output:800in conॐ 60027. Hot deHealthy eat probably doesinclude hot dogs,but if u are going tave one, you'dobably hope it'sin b calories an odium. Recent Consumer Repolisted the number calories and so m content (in mi ms)for 13 brands o1-beef hot dogs tested. Examineassociation,aming that the d satisfy the condfor infereng2 400200 -nsDependen able is SodiumR-squar 60.5%s = 5with 13 - 2 = 11 grees of freedom1.252.503.755.00Size (1000 ft?)Dependent variable is PriceR-squared = 59.5%s = 53.79 with 1064 - 2 = 1062 degrees of freedomVaria CoefficientCon tCaloriesCoef)77.69t-Ratio-Value90.97831.170.26632.299590.56074.10.0018VariableCoefficientSE(Coeff)t-RatioP-Valuea) State the appropte hypotheses ab the slope.b) Test your hypoeses and state yo conclusion in the properIntercept-3.116864.688-0.6650.5063Size94.45392.39339.5S0.0001context.(s,000IS) aoudResiduals# of Houses

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Description: 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 Reg

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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)

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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

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