Monday

April 21, 2014

April 21, 2014

Posted by **Kris** on Wednesday, December 7, 2011 at 6:47pm.

2. Weight of Car: Miles gallon – Do heavier cars really use more gasoline? The following data were obtained from Consumer Reports (Vol 62 no. 4). Weight of car is in hundreds of pounds.

Car Weight 27 44 32 47 23 40 34 52

MPG 30 19 24 13 29 17 21 14

A simple linear regression of the model MPG = b + b WEIGHT

The results are shown below:

MPG & CAR WEIGHT

REGRESSION FUNCTION & ANOVA FOR MPG

MPG = 43.32625 - 0.600702 WEIGHT

R-Squared = 0.895426

Adjusted R-Squared = 0.877997

Standard error of estimate = 2.236055

Number of cases used = 8

Analysis of Variance

p-value

Source SS df MS F Value Sig Prob

Regression 256.87 1 256.87 51.37567 0.000372

Residual 29.99 6 4.99

Total 286.875 7

MPG & CAR WEIGHT

REGRESSION COEFFICIENTS FOR MPG

Two-Sided p-value

Variable Coefficient Std Error t Value Sig Prob

Constant 43.32625 3.23051 13.41156 0.000011

WEIGHT -0.60070 0.08381 -7.16768 0.000372 *

Standard error of estimate = 2.236055

Durbin-Watson statistic = 0.995097

(a) What is the estimated simple linear regression?

(b) What sort of relationship exists between MPG and car weight? Does the relationship make sense to you? Why or why not?

(c) Interpret the R-square in the computer output.

(d) Estimate the MPG for a car that weighs 20 hundred pounds and a car that weight 60 hundred pounds.

**Related Questions**

Statistics - True or False, In simple linear regression analysis, if the error ...

Statistics - Are these questions below true or false? I am stuck. I think 1 is ...

Probability & Statistics - Charmaine is looking at the rental car prices for Get...

Probability & Statistics - Charmaine is looking at the rental car prices for Get...

Statistics - Which of the following is not a source of caution in regression ...

Statistics - Use the following results obtained from a simple linear regression ...

Management - The price P per unit at which a company can sell all that it ...

Production & Operations Mgmt in Business - If someone could help me, I am truly ...

Statistics - The following linear equation, y = b0 + b1x, is a regression line ...

Statistics - Using a sample of recent university graduates, you estimate a ...