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

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1. 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 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.

  1. Is this a left-tailed test, a right-tailed test, or a two-tailed test?

  2. What is the value of the test statistic? Do not round.

  3. Identify the p-value for this procedure. Do not round.

  4. Using the p-value method, should ?0 be rejected at the ? = 0.05 level of significance? Why or why not?

  5. 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
Transcribed Image Text: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
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