Question

The first five questions are based on the following data on the stopping distances of cars going various speeds.
speed 10 11 12 13 14 distance 26 28 28 34 36
1. What is the explanatory variable?
A. speed B. distance C. there is no explanatory variable
2. Find ˆ m.
A. −.8 B. ≈ .948 C. 2 D. 2.6 E. other valu

5. Find a 90% confidence interval for the slope of the regression line.
A. [1.77,3.43] B. [1.61,3.59] C. [1.53,3.67] D. [1.42,3.78] E. other value

Answer 1

1. What is the explanatory variable?
A. speed
2. Find ˆ m.
D. 2.6

5. Find a 90% confidence interval for the slope of the regression line.
D. [1.42,3.78]

	r²	0.899
	r	0.948
	Std. Error	1.592
	n	5
	k	1
	Dep. Var.	distance
ANOVA table
Source	SS	df	MS	F	p-value
Regression	67.6000	1	67.6000	26.68	.0141
Residual	7.6000	3	2.5333
Total	75.2000	4
Regression output				confidence interval
variables	coefficients	std. error	t (df=3)	p-value	90% lower	90% upper
Intercept	-0.8000
speed	2.6000	0.5033	5.166	.0141	1.4155	3.7845