Give the value of the correlation coefficient and interpret its meaning. 2. Compute the least-squares regression line for predicting energy consumption (y) from income (x) 3. Interpret the value of the slope. 4. Predict the amount of energy consumption for a household with an income of $150,000. Round to the nearest tenth. 5. What is the 95% confidence interval for the slope. You do not have to
1. Give the value of the
2. Compute the least-squares regression line for predicting energy consumption (y) from income (x)
3. Interpret the value of the slope.
4. Predict the amount of energy consumption for a household with an income of $150,000. Round to the nearest tenth.
5. What is the 95% confidence interval for the slope. You do not have to interpret the results.
6.Construct a 99% confidence interval for the slope. You do not have to interpret the results.
7. Test ? : ? = 0 versus ? : ? > 0. Can you conclude that income is useful in predicting energy consumption? 01 11
Use the ? = 0.05 level of significance.
-
Is this a left-tailed test, a right-tailed test, or a two-tailed test?
-
What is the value of the test statistic? Do not round.
-
Identify the p-value for this procedure. Do not round.
-
Using the p-value method, should ?0 be rejected at the ? = 0.05 level of significance? Why or why not?
-
Can you conclude that income is useful in predicting energy consumption?
![Bb https://learn-us-east-1-prod-fleet02-xythos.content.blackboardcdn.com/5fca...
Income Energy Income Energy
Energy Consumption: A sample of ten households was monitored for one year. The household income (in
$1000s) and the amount of energy consumed (10¹0 joules) were determined. The results follow.
31
40
28
Ciro th
48
195
16.0
Intercept
Income
40.2
29.8
45.6
184.6
Multiple R
R Square
Adjusted R Square
Standard Error
Observations
96
70
100
145
learn-us-east-1-prod-fleet02-xythos.content.blackboardcdn.com
78
98.3
coefficients
4.1659
0.888239
93.8
77.1
The following output was obtained after performing regression analysis in Excel:
Regression Statistics
114.8
67.0
0.9598472
0.92130665
0.91146998
14.754434
Untitled document - Google Docs
10
std. error
t (df=8)
p-value
8.940931 0.325169
0.753394
0.091781 9.677832 0.00000522134
o of the cornolation goofficient or intornnot ita mooning
b Success Confirmation of Question Submission | bartleby
Lower 95%
-17.710512
0.675
Upper 95%
23.525136
1.095](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F057d53e7-a16b-4e07-883c-18e1a593b6ea%2F602173ef-0b06-4c6c-b0f2-cd57d92f446d%2Fybs6r1i_processed.png&w=3840&q=75)
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