Question

4. Can we use the regression line to make reliable prediction of the number of deaths per 100,000? (Is there a significant correlation between the two factors?) a. Find the p-value for a hypothesis test to if there is significant correlation b. At the 5% significance level, what can you conclude about the correlation? C. Can we use the regression line to make reliable predictions? 5. Predict the number of deaths for ages 40 and 60 (use the midpoint when finding the prediction)

Answer 1

4. (a) The p-value is 0.2288.

(b) Since the p-value (0.2288) is greater than the significance level (0.05), we fail to reject the null hypothesis.

Therefore, we cannot conclude that the relationship is signficant.

(c) Since the results are not significant, we cannot use the regression line to make predictions.

5. y = 25.99

Age	Deaths
17.5	38
22	36
29.5	24
44.5	20
64.5	18
80	28

	r²	0.335
	r	-0.579
	Std. Error	7.533
	n	6
	k	1
	Dep. Var.	Deaths
ANOVA table
Source	SS	df	MS	F	p-value
Regression	114.3276	1	114.3276	2.01	.2288
Residual	227.0057	4	56.7514
Total	341.3333	5
Regression output				confidence interval
variables	coefficients	std. error	t (df=4)	p-value	95% lower	95% upper
Intercept	35.5818
Age	-0.1918	0.1352	-1.419	.2288	-0.5671	0.1834