AP Stats - Linear Regression MCQ Practice

• 0.48

• 0.65

• 1.32

• 1.90

• 2.63

Tags

CCSS.HSS.ID.C.7

CCSS.HSS.ID.C.8

The relationship between selling price of a car (in $1,000) and its age (in years) is estimated from a random sample of cars of a specific model. The relationship is modeled with the following LSRL: (Selling Price - hat) = 24.2 - (1.182)(Age).

Which of the following statements can be concluded from this equation?

• For every year the car gets older, the selling price drops by approximately $2420.

• For every year the car gets older, the selling price goes down by approximately 11.82%.

• On average, a new car costs about $11,820.

• On average, a new car costs about $23,018.

• For every year that the car gets older, the selling price drops by approximately $1,182.

Tags

CCSS.HSS.ID.C.7

All but one of the statements is false. Which one COULD be true?

• The correlation between a football player's weight and the position he plays is 0.54.

• The correlation between a car's length and its fuel efficiency is 0.17 mpg.

• There is a high correlation (1.09) between height of a corn stalk and its age in weeks.

• The correlation between the amounts of fertilizer and quantity of beans harvested is 0.42.

• There is a correlation of 0.63 between gender and political party affiliation.

It is easy to measure circumference of a tree's trunk, but not so easy to measure its height. Foresters developed a model for ponderosa pines that they use to predict tree's height (in feet) from the circumference of its trunk (in inches):

ln (h-hat) = -1.2 + 1.4 (ln C)

A lumberjack finds a tree with a circumference of 60 inches. How tall does this model estimate the tree to be?

• 5 ft

• 11 ft

• 19 ft

• 83 ft

• 93 ft

Tags

CCSS.HSA.CED.A.4

CCSS.HSF.BF.B.5

CCSS.HSF.IF.A.2

CCSS.HSF.LE.A.4

• cannot be determined without the data

• is -0.70

• is 0.2401

• is 0.70

• is 0.7599

Which of the following is a correct conclusion based on the residual plot displayed?

• The line tends to overestimate the data.

• The line tends to underestimates the data.

• It is not appropriate to fit a line to these data since there is clearly no association.

• The data are not related.

• There is a non-linear relationship between the variables.

Tags

CCSS.HSS.ID.B.6

The National Directory of Magazines tracks the number of magazines published in the United States each year. An analysis of data from 1988 to 2007 gives the following computer output. The dates were recorded as years since 1988. Thus, the year 1988 was recorded as year 0. A residual plot (not shown) showed no pattern.

(a) What is the value of the slope of the least squares regression line?

• 13,549.90

• 325.39

• 2.731

• 0.1950

• 836.2

The National Directory of Magazines tracks the number of magazines published in the United States each year. An analysis of data from 1988 to 2007 gives the following computer output. The dates were recorded as years since 1988. Thus, the year 1988 was recorded as year 0. A residual plot (not shown) showed no pattern.

(c) What is the value of the y-intercept of the least squares regression line?

• 13,549.90

• 325.39

• 2.731

• 0.1950

• 836.2

The National Directory of Magazines tracks the number of magazines published in the United States each year. An analysis of data from 1988 to 2007 gives the following computer output. The dates were recorded as years since 1988. Thus, the year 1988 was recorded as year 0. A residual plot (not shown) showed no pattern.

(b) Interpret the slope in the context of this situation.

• As the the year increases by 1, the number of magazines sold tends to increase by 325.39.

• Our model predicts on average that as the the year decreases by 1, the number of magazines sold tends to increase by 325.39.

• Our model predicts on average that as the the year increases by 1, the number of magazines sold tends to increase by 325.39.

• The number of magazines sold increases by 325.39 as the year increases by 1.

• The number of magazines sold decreases by 325.39 as the year increases by 1.

Tags

CCSS.HSS.ID.C.7

The National Directory of Magazines tracks the number of magazines published in the United States each year. An analysis of data from 1988 to 2007 gives the following computer output. The dates were recorded as years since 1988. Thus, the year 1988 was recorded as year 0. A residual plot (not shown) showed no pattern.

(d) Interpret the value of the y-intercept in the context of this situation.

• In 1988 our model estimates that the number of magazines published is 13549.9

• In the year 0 our model estimates that the number of magazines published is 13549.9

• In the year 0 our model the number of magazines published is 13549.9

• In 1988 the number of magazines published is 13549.9