A simple regression model has been developed using a sample

Question

1.   In developing a regression equation from the following data to predict y by x, the slope is:

x	y
9	18
8	15
5	7
1	3

 

 

 

a)     1.88, b) 0.44, c) 4.76, d) 0.18

2. In developing a regression equation from the following data to predict y by x, the y intercept is:

x		y
11		5
16		8
4		6
2		5
3		4

 

a) 3.504, b) 4.256, c) 10.550, d) 0.1867

3. A simple regression model has been developed using a sample of 11 pairs of observations. The sum of squares of error is 237.64. The standard error of the estimate is:

a) 5.139, b) 4.875, c) 4.648, d) 23.764

 

4. Consider the following output from a regression analysis. Based on this output, what is the equation of the regression model?

ANOVA
	df	SS	MS	F
Regression	1	9315.23	9315.23	8.46
Residual	9	9907.49	1100.83
Total	10	19222.73

 

	Coefficients	Standard Error	t Stat	P-value
Intercept	2100.10	53.18	11.40	.0000019
X Variable 1	-0.51	1.64	-2.91	0.017341

a)   y= 9907.49 + 9315.23x

b)   y=606.47 - 4.76x

c)   y= 57.60 - 11.26x

d)   y= 2100.10 - 0.51x

 

5. The following information is obtained for a sample of 70 observations taken from a population.

SS_xx = 370.628 ,s_e = 0.961 , and  y= 155.92 - 2.93 x

Make a 97% confidence interval for B.

The 97% confidence interval for B is (___________, ____________) [Round your answers to 2 decimal places.]