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Just need help with obtaining the regression equation. The rest of the answers h

ID: 3350748 • Letter: J

Question

Just need help with obtaining the regression equation.

The rest of the answers have already been verified as being correct.

Here is the problem:

Using data set E, answer the questions given below DATA SET E Microprocessor Speed (MHz) and Power Dissipation (watts) (n- 14 chips) Power (watts) Chip 1989 Intel 80486 1993 Pentium 1997 Pentium II 1998 Intel Celeron 1999 Pentium IIl 1999 AMD Athlon 2000 Pentium 4 2004 Celeron D 2004 Pentium 4 2005 Pentium D 2007 AMD Phenom 2008 Intel Core 2 2009 Intel Core i7 2009 AMD Phenom II Speed (MHz) 20 100 233 300 600 600 1300 2100 3800 3200 2300 3200 2900 3200 3 10 35 20 42 50 51 73 115 130 95 136 95 125 Choose the dependent variable (the response variable to be "explained") and the independent variable (the predictor or explanatory variable) Dependent Variable O Speed Power Independent Variable O Power Speed Obtain the regression equation. (Round your answers to 3 decimal places.) Calculate R2 (Round your answer to 3 decimal places.) R2 0.925

Explanation / Answer

The statistical software output for this problem is:

Simple linear regression results:
Dependent Variable: Power
Independent Variable: Speed
Power = 15.7299 + 0.031852656 Speed
Sample size: 14
R (correlation coefficient) = 0.96195203
R-sq = 0.92535171
Estimate of error standard deviation: 13.108789

Parameter estimates:

Hence,

The regression equation will be:

Y = 0.032 X + 15.730

Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept 15.7299 5.6633697 0 12 2.7774806 0.0167 Slope 0.031852656 0.0026116293 0 12 12.196469 <0.0001