An atlas contains a map of Ohio. The table shows data from the key on the map.
1 answer:
Answer:
The answer is below
Step-by-step explanation:
a) The graph is attached
b) The table shows a linear relationship between x and y.
A linear equation is in the form y = mx + b, where y is a dependent variable, x is an independent variable, m is the rate of change (slope) and b is the value of y when x = 0.
x represent the distance on map in mm and y represent the actual distance in mile. The table (x, y) has the points (10, 25) and (20, 50). The equation is given by:
The slope m = 2.5. This means that for every 1 mm on the map, the actual distance increases by 2.5 miles.
c) y = 2.5x
put x = 48 mm
y = 2.5(48)
y = 120 miles
The actual distance between Toledo and Columbus is 120 miles
d) y = 2.5x
Put y = 225 miles
225 = 2.5x
x = 225/2.5
x = 90 mm
The distance on map between Cincinnati and Cleveland is about 90 mm.
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The question is incomplete. Here is the complete question.
A cell phone company is interested in the relationship between the number of texts per minute for their customers (y) and customer age. Based on the data collected, the least-squares regression line is , where x is the number of years by which age exceeds 12. Which of the following statements best describes the meaning of the slope of the least-squares regression line?
a. For each increase in age of 1 year, the estimated number of texts per minute increases by 3.27.
b. For each increase in age of 1 year, the estimated number of texts per minute increases by 2.14.
c. For each increase of one text per minute, there is an estimated increase in age of 3.27 years.
d. For each increase of one text per minute, there is an estimated increase in age of 2.14 years.
e. The slope has no meaning because the units of measure for x and y are not the same.
Answer: b. For each increase in age of 1 year, the estimated number of texts per minute increases by 2.14.
Step-by-step explanation: The <u>least-squares</u> <u>regression</u> is a method of fitness, i.e., it fits a data set of number into an equation.
In this case, the relationship between number of texts per minute and customer age is given by a line equation:
in which, y represents the number of texts per minute and x is the age.
In a line equation, slope is the measure of steepness, i.e., how inclined the line is.
In the least squares regression line, slope is 2.14 and it means, in each additional year, the number of texts increase by a factor of 2.14, which is the correct alternative.