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In: Advanced Math

A1-C1 Assignment – Correlation 1. You are given the following statistics: means, standard deviations, and correlations...

A1-C1

Assignment – Correlation

1. You are given the following statistics: means, standard deviations, and correlations for 4 variables. The four variables are miles per gallon, weight of car, front profile (1-Low, 0-Not Low) and the manufacturer’s suggested retail price. Four hundred cars were sampled. Answer the questions that follow.

MPG

Weight

Low Profile Front

MSRP

Means

25

2500

.60

24,000

St Dev

5

250

.40

3,000

Correlations

MPG

Weight

Low Profile Front

MSRP

MPG

1.00

Weight

-.60

1.00

Low Profile Front

.25

-.30

1.00

MSRP

.05

-.20

.30

1.00

  1. __________Which costs more, (low or high) front profile vehicles
  2. _________ Best predictor of MPG is
  3. __________Heavier cars have a (low or high) profile front
  4. __________High MPG vehicles have ‘significantly’ higher prices than low MPG vehicles(T/F)
  5. _________ Weakest predictor of MPG is
  6. __________Slope of the line for MPG against Low Profile Front would be (Pos, Neg or zero)
  7. ____________________________________________________________ Suppose the slope of the line for MPG against Low Profile front is 5. Interpret this slope relative to the two variables.

h.__________Higher MPG vehicles have (higher or lower) profiles.

i.__________ How many cars in the sample were low profile.

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