Page 3 of 8 Unit 1 Group Test 4. The table gives the annual average Oregon gasol
ID: 3354201 • Letter: P
Question
Page 3 of 8 Unit 1 Group Test 4. The table gives the annual average Oregon gasoline pric e from December 2000 to December 2009 where x is the number of years since 2000 and y is the average price a. Does the table represent a relation? b. Does the table represent a function? year dollars/gallon 1.60 State the units of the dependent variable. 1.35 c. 3 1.85 2.12 2.60 3.02 1.75 2.70 4. d. State the units of the independent variable e. Find the average rate of change from 2001 to 2007. Interpret your results with a complete sentence. f. Find the average rate of change from 2007 to 2009. Interpret your results with a complete sentence. g. Find a linear regression to model this data. Round values to 3 decimal places Is this a good model? Explain Regentsprep Regression Lesson, Regentsprep Scatter TrendsExplanation / Answer
a) yes
b) yes
c) dollars/gallon
d) year
e) average rate = (y(t2) - y(t1))/(t2 -t1)
= (3.02 - 1.22)/6
=0.3
on average, the increase in gasoline price is 0.3 dollar/gallon per year from 2001 to 2007
f)
= (2.7 - 3.02)/(2)
= -0.16
on average, the decrease in gasoline price is 0.16 dollar/gallon per year from 2007 to 2009
g)
price ^ = 1.3038 + 0.1717* x
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SUMMARY OUTPUT Regression Statistics Multiple R 0.664542776 R Square 0.441617101 Adjusted R Square 0.371819238 Standard Error 0.620432034 Observations 10 ANOVA df SS MS F Significance F Regression 1 2.435522727 2.435522727 6.327086327 0.03606795 Residual 8 3.079487273 0.384935909 Total 9 5.51501 Coefficients Standard Error t Stat P-value Lower 95% Intercept 1.303818182 0.364661294 3.57542246 0.007236317 0.462907729 year 0.171818182 0.068307319 2.515370018 0.03606795 0.014301222Related Questions
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