Question

1980 per capita 1999 per capita La | income y in $1000) $10005) 27.1 9.7 25.7 10.2 12.0 29.5 New Meci Louisiana New York Idaho 31.7 Tot it 23.5 23.4 Based on the above information, answer the following: Choose one 1. Fill in the blank: For these data, 1980 per capita incomes that are less than the mean of the 1980 per capita incomes tend to be paired with 1999 per capita incomes that are the mean of the 1999 per capita incomes. 2. Fill in the blank: According to the regression equation, for an Increase of one thousand dollars in 1980 per capita income, there is a corresponding of 2.60 thousand do lars in 1999 per capita income choose one 3. What was the observed 1999 per capita income in thousands of dollars) when the 1980 per capita income was 12.0 thousand dollars! 4. From the regression equation, what is the predicted 1999 per capita income in thousands of dollars) when the 1980 per capita Income is 12.0 thousand dollars? (Round you a ver to at least one decim pse. Save For Later Con

Answer 1

The regression output is:

	r²	0.808
	r	0.899
	Std. Error	1.756
	n	14
	k	1
	Dep. Var.	y
ANOVA table
Source	SS	df	MS	F	p-value
Regression	156.1605	1	156.1605	50.64	1.22E-05
Residual	37.0081	12	3.0840
Total	193.1686	13
Regression output					confidence interval
variables	coefficients	std. error	t (df=12)	p-value	95% lower	95% upper
Intercept	1.4919
x	2.6043	0.3660	7.116	1.22E-05	1.8069	3.4018
Predicted values for: y
		95% Confidence Interval		95% Prediction Interval
x	Predicted	lower	upper	lower	upper	Leverage
12	32.7441	30.4476	35.0405	28.2815	37.2066	0.360

1. less

2. increase

3. 29.8

4. 32.7

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