Question

Using a random sample of 25 vehicles, is there a relationship between a vehicle's weight (measured in kg) and it fuel mileage (measured in miles per gallon)? Complete the following correlation and regression analysis using the Minitab Express output. Satterplot of vehicle mileage vs vehicle weight vehide mileage Correlation Pearson r = -0.866579 P.Value = <0.0001 Model Summary S R-sq R-sgiad) 3.01615 75.10% 74.01% Regression Equation vehicle mileage = 45.645 -0.0052220 vehicle weight vehicle we oht a) Describe the nature of the relationship between vehicle's weight and its fuel mileage. b) State the correlation coefficient and determine if it is significant at a=0.05 using Table I. c) Using the regression equation predict the fuel mileage for a vehicle that weighs 3300 kilograms. Round final answer to tenths.

Answer 1

From the given information above,

a) There are strong negative linear correlation between weight and fuel mileage. Correlation is -0.866579

b) Here, P value is less than level of significance. There is sufficient evidence to support the claim that the there is negative linear Correlation between the two Variables. And it is significant.

c) According to above Regresaion equation,

when vehicle weighs is 3300

Vehicle millage =45.645-0.0052220*3300

=45.645-17.2326

=28.4