e Does a linear model seem appropriate based on the scatter

(e) Does a linear model seem appropriate based on the scatter diagram and residual plot? Yes N0 (f) What is the moral? A. The moral is that explanatory variables may indicate that a linear relation between the two variables does not exist even though diagnostic tools (such as residual plots) indicate that a linear model is appropriate. B. The moral is that inferential procedures may indicate that a nonlinear relation between the two variables exists even though diagnostic tools (such as residual plots) indicate that a linear model is appropriate. C. The moral is that inferential procedures may indicate that a linear relation between the two variables exists even though diagnostic tools (such as residual plots) indicate that a linear model is inappropriate. (c) Draw a scatter diagram, treating year as the explanatory variable. Choose the correct graph below. (d) Plot the residuals against the explanatory variable, year. Choose the correct graph below. (a) Determine the least-squares regression equation, treating year as the explanatory variable. Choose the correct answer below. (b) A normal probability plot of the residuals indicates that the residuals are approximately normally distributed. Test whether a linear relation exists between year and population. Use the a = 0.01 level of significance. State the null and alternative hypotheses. Choose the correct answer below. Determine the P-value of this hypothesis test. P-value = (Round to three decimal places as needed.) State the appropriate conclusion. Choose the correct answer below. A. Do not reject H0. There is sufficient evidence to conclude that a linear relation exists between year and population. B. Reject H0. There is sufficient evidence to conclude that a linear relation exists between year and population. C. Do not reject H0. There is not sufficient evidence to conclude that a linear relation exists between year and population. D. Reject H0. There is not sufficient evidence to conclude that a linear relation exists between year and population.

Solution

(a)B

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(b)A

The p-value= 0

B

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(c)A

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(d)A

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(e) No

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(f)B

Regression output				confidence interval
variables	coefficients	std. error	t (df=9)	p-value	95% lower	95% upper
Intercept	-3,749,993.2273	185,954.9896	-20.166	8.44E-09	-4,170,652.6380	-3,329,333.8166
x	2,008.0827	95.3490	21.060	5.75E-09	1,792.3883	2,223.7771