Home
Class 12
MATHS
The scatterplot above shows the federal-...


The scatterplot above shows the federal-mandated minimum wage every 10 years between 1940 and 2010. A line of best fit is shown, and its equation is y = 0.096x − 0.488.What does the line of best fit predict about the increase in the minimum wage over the 70-year period?

A

Each year between 1940 and 2010, the average increase in minimum wage was 0.096 dollars.

B

Each year between 1940 and 2010, the average increase in minimum wage was 0.49 dollars.

C

Every 10 years between 1940 and 2010, the average increase in minimum wage was 0.096 dollars.

D

Every 10 years between 1940 and 2010, the average increase in minimum wage was 0.488 dollars.

Text Solution

Verified by Experts

The correct Answer is:
A
The given equation is in slope-intercept form, or y = mx + b, where m is the value of the slope of the line of best fit. Therefore, the slope of the line of best fit is 0.096. From the definition of slope, it follows that an increase of 1 in the x-value corresponds to an increase of 0.096 in the y-value. Therefore, the line of best fit predicts that for each year between 1940 and 2010, the minimum wage will increase by 0.096 dollar per hour.
Choice B is incorrect and may result from using the y-coordinate of the y-intercept as the average increase, instead of the slope. Choice C is incorrect and may result from using the 10-year increments given on the x-axis to incorrectly interpret the slope of the line of best fit. Choice D is incorrect and may result from using the y-coordinate of the y-intercept as the average increase, instead of the slope, and from using the 10-year increments given on the x-axis to incorrectly interpret the slope of the line of best fit.
Promotional Banner

Similar Questions

Explore conceptually related problems

The scatterplot above shows the profit, by month, for a new company for the first year of operation. A line of best fit is also shown. Using this line, by what dollar amount did the profit in the 8th month exceed the profit in the 13th month?

The scatterplot above shows the price, in dollars, for both cheese pizza and a veggie pizza for ten different pizzerias. The line of best fit is also shown. According to the line of best fit, which of the following is closer to the predicted increase in the price of a veggie pizza, in dollars, for every 1 dollar increase in the price of a cheese pizza?

The scatterplot above shows the height in centimeters for both the drop and bounce of eight different balls of the same type. The line of best fit for the data is also shown. According to the lines of best fit, which of the following is closest to the predicted increase in bounce height, in centimeters, for every increase of 100 centimeters in drop height?

(##KPL_SAT_PRD_PLS_C09_E01_004_Q01.png" width="80%"> The scaterplot abouve shows data collected each year after the British Parlimament enacted a mandatory seat belt law and line of beast fit to the data. Which of the following equations best represents the trend of the data shown in the figure ?

The scatterplot above shows data collected on the lengths and widths of Iris setosa petals. A line of best fit for the data is also shown. Based on the line of best fit, if the width of an Iris setosa petal is 19 millimeters, what is the predicted length, in millimeters, of the petal?

The scatterplot above shows the number of registered voters, x, and the number of people who voted in the last election, y, for seven districts in a town. A line of best fit for the data is also shown. Which of the following could be the equation of the line of best fit?

The scatterplot above shows the relationship between gas mileage, in miles per gallon, and weight , in tons, for 10 cars selected at random. The line of best fit models the gas mileage based on the weight of the car. What is the weight, in tons, of the car for which the actual gas mileage was closest to the predicted value?