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 value
3. Find the coefficent of determination.
A. ≈ .640 B. ≈ .801 C. ≈ .899 D. ≈ .948 E. other value
4. Find the regression sum of squares.
A. ≈ 5.7 B. ≈ 11.9 C. ≈ 67.6 D. ≈ 75.2 E. other value
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?

speed

2. Find ˆ m.

B. ≈ .948

3. Find the coefficent of determination.

C. ≈ .899

4. Find the regression sum of squares

D. ≈ 75.2

5. Find a 90% confidence interval for the slope of the regression line.

D. [1.42,3.78]

Using excel<data<data analysis<regression

Regression Analysis
	r²	0.899
	r	0.948
	Std. Error	1.592
	n	5
	k	1
	Dep. Var.	y
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	6.08	-0.13	0.90	-15.11	13.51
x	2.6000	0.5033	5.166	.0141	1.4155	3.7845