Assignment Gradebook ORION Downloadable eTextbook nt CALCULATOR MESSAGE MY INSTR

Question

Assignment Gradebook ORION Downloadable eTextbook nt CALCULATOR MESSAGE MY INSTRUCTOR FULL SCREEN PRINTER VERSIO End of Section Problem 13.1 Use a computer to develop the equation of the regression model for the following data. Determine the predicted value of y for x-210 and X2 7. y X1 X2 12 174 3 18 281 9 31 189 4 28 202 8 52 149 9 47 188 12 38 215 5 23 148 9 36 167 8 17 135 5 (Round your answers to 2 decimal places.) The regression equation is: y The predicted value is: 9 Click if you would like to Show Work for this question: n Show Work LINK TO TEXT arch

Explanation / Answer

USING THE STATISTICAL SOFTWARE R ,

> y<-c(12,18,31,28,52,47,38,23,36,17)

> x1<-c(174,281,189,202,149,188,215,148,167,135)

> x2<-c(3,9,4,8,9,12,5,9,8,5)

> model<-lm(y~x1+x2)

> summary(model)

Call:

lm(formula = y ~ x1 + x2)

Residuals:

Min 1Q Median 3Q Max

-14.1166 -10.0453 -0.2528 8.1019 15.3137

Coefficients:

Estimate Std. Error t value Pr(>|t|)

(Intercept) 23.65026 20.34525 1.162 0.283

x1 -0.06360 0.09878 -0.644 0.540

x2 2.54220 1.47844 1.720 0.129

Residual standard error: 12.41 on 7 degrees of freedom

Multiple R-squared: 0.3101, Adjusted R-squared: 0.1129

F-statistic: 1.573 on 2 and 7 DF, p-value: 0.2728

This can be interpreted to give the equation:

Y=23.65026 + (-0.06360 )X1 + 2.54220 X2

Now value can be predicted by plugging X1=210 and x2=7 which gives :

> Y=23.65026 + (-0.06360*210) + 2.54220*7
> Y
[1] 28.08966

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.