Data on X = the Weight of a Pickup Truck

question 4

Multiple Choice

Data on x = the weight of a pickup truck (pounds) and y = distance (in feet) required for a truck traveling 40 miles per hour to come to a complete stop for 30 trucks was used to fit the least squares regression line . Which of the following statements is a correct interpretation of the value 0.05 in the equation of the regression line? ​

• A)On average, the truck weight goes up 0.05 pound for each additional foot required to stop the truck.
• B)On average, the stopping distance is 0.05 foot when the truck weight is 0.
• C)The correlation coefficient for this data set is 0.05
• D)On average, the stopping distance goes up 0.05 foot for each 1-pound increase in truck weight.
• E)Approximately 5% of the variation in the stopping distances can be explained by the linear relationship between stopping distance and truck weight.

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Definitions:

Ego State

A concept in psychology that describes different parts of the mind or self that function with some degree of autonomy, such as the parent, child, and adult ego states in transactional analysis.

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The cognitive process of choosing a course of action from among multiple alternatives, often based on reasoning or instinct.

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The state of psychological development where an individual exhibits emotional stability, insight, and adaptive coping mechanisms.