8· The weight (lbs) and fuel efficiency (hwy MPG) of several randomly selected s

Question

8· The weight (lbs) and fuel efficiency (hwy MPG) of several randomly selected s is shown below: Weight Fuel Binldency 3548 3306 3548 4057 4802 3772 3803 4469 4616 4968 4203 27 26 27 25 20 25 26 19 21 20 20 a. Create a scatterplot of the data (you do not need to copy it below) Describe your scatterplot in terms of strength, direction, and form (3 pts) b. Find the correlation coefficient for these variables. Is your result consistent with your description in part a? why or why not? (3 pts) c. Find the regression line for predicting MPG from weight. Use 2 decimal places for the parameters (slope and intercept) in your model. (3 pts) d. Interpret the slope. (3 pts) e. Ifthe weight is 4000 Ibs cents, predict the hwy MPG of the vehicle. (3 pts) t. Pind and interpret the residual for a welght of 4469 Ibs (4 pts)

Explanation / Answer

a)

strength - strong

direction - negative ,

form - straight

b)

r = -0.88832

yes

c)

y^ = 44.39409142 -0.005152466* weight

d)

slope = -0.00515

when weight increase by 1 unit , efficiency decrease by 0.00515 unit

e)

y^ = 44.39409142 -0.005152466* 4000

= 23.78422

f)

y^ = 44.39409142 -0.005152466* 4469

= 21.3677

residual = yi - y^ =

= 19 -21.3677

= 2.3677

Please rate

SUMMARY OUTPUT Regression Statistics Multiple R 0.888323495 R Square 0.789118631 Adjusted R Square 0.765687368 Standard Error 1.56240571 Observations 11 ANOVA df SS MS F Significance F Regression 1 82.21181377 82.21181377 33.67802346 0.000258412 Residual 9 21.97000441 2.441111601 Total 10 104.1818182 Coefficients Standard Error t Stat P-value Lower 95% Intercept 44.39409142 3.669918665 12.09675077 7.19058E-07 36.09215862 weight -0.005152466 0.000887855 -5.803276959 0.000258412 -0.007160933

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