A real estate agent would like to predict the selling price of a single-family house by predicting the price (in $1000) based on the square footage (in 100 square feet). Calculate a 95% confidence interval for the slope of the true regression line. Dependent variable: Y Analysis of Variance Source Model Error C total Root MSE Dep Mean C.V. DF 1 13 14 12.9965 88.8400 14.6291 Parameter Estimates Variable Intercept X DF 1 1 Sum of Squares 4034.4144 2195.8215 6230.2360 R-square Adj R-square Parameter Estimate 18.3538 3.8785 Mean Square 4034.4144 168.9093 0.6476 0.6204 Standard Error 14.8077 0.7936 F Value 23.885 T for HO: Parameter = 0 1.239 4.887 Prob>F 0.0003 Prob > T 0.2371 0.0003

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 6SGR
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Solve thw attached image question. Below are the answer choices:

a) [0.864, 6.893]
b) [2.164, 5.593]
c) [−3.066, 10.823]
d) [1.164, 6.593]
e) [1.909, 5.848]
f) None of the above
A real estate agent would like to predict the selling price of a single-family house by predicting the price (in $1000) based on the square footage (in 100 square feet).
Calculate a 95% confidence interval for the slope of the true regression line.
Dependent variable: Y
Analysis of Variance
Source
Model
Error
C total
Root MSE
Dep Mean
C.V.
DF
1
13
14
12.9965
88.8400
14.6291
Parameter Estimates
Variable
Intercept
X
DE
1
1
Sum of
Squares
4034.4144
2195.8215
6230.2360
R-square
Adj R-square
Parameter
Estimate
18.3538
3.8785
Mean
Square
4034.4144
168.9093
0.6476
0.6204
Standard
Error
14.8077
0.7936
F Value
23.885
T for H0:
Parameter = 0
1.239
4.887
Prob>F
0.0003
Prob > T
0.2371
0.0003
Transcribed Image Text:A real estate agent would like to predict the selling price of a single-family house by predicting the price (in $1000) based on the square footage (in 100 square feet). Calculate a 95% confidence interval for the slope of the true regression line. Dependent variable: Y Analysis of Variance Source Model Error C total Root MSE Dep Mean C.V. DF 1 13 14 12.9965 88.8400 14.6291 Parameter Estimates Variable Intercept X DE 1 1 Sum of Squares 4034.4144 2195.8215 6230.2360 R-square Adj R-square Parameter Estimate 18.3538 3.8785 Mean Square 4034.4144 168.9093 0.6476 0.6204 Standard Error 14.8077 0.7936 F Value 23.885 T for H0: Parameter = 0 1.239 4.887 Prob>F 0.0003 Prob > T 0.2371 0.0003
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