what does the y-intercept mean? The table shows the miles drive by a UPS truck driver. The distance is the total number of miles he hasdriven.Time (hours)Distance(miles)0014328731104120Equation: y = 12 + 30xb) Interpret the equation in terms of the problem situation.The slope meansThe predicted number of miles driven at the beginning is 30The truck driver always drives 30 miles per hourThe predicted increase per hour is 30 milesO The predicted number of miles driven at at the beginning is 0The predicted increase in miles driven per hour is 12O The predicted number of miles driven at the beginning is 125150The y-intercept meansO The predicted number of miles driven at the beginning is 30O The predicted increase per hour is 30 milesThe predicted increase in miles driven per hour is 12The truck driver always drives 30 miles per hourO The predicted number of miles driven at at the beginning is 0O The predicted number of miles driven at the beginning is 126203a) Determine a linear regression equation for the data. Round the slope and y-intercept to the nearestwhole number.7216

Given information- We have given a linear regression equation for the data- y = 12 + 30x We have to…

Answered: The table shows the miles drive by a…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.2: Writing Equations In Standard And Point-slope Forms

Problem 50PFA

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Question

what does the y-intercept mean?

The table shows the miles drive by a UPS truck driver. The distance is the total number of miles he has
driven.
Time (hours)
Distance
(miles)
0
0
1
43
2
87
3
110
4
120
Equation: y = 12 + 30x
b) Interpret the equation in terms of the problem situation.
The slope means
The predicted number of miles driven at the beginning is 30
The truck driver always drives 30 miles per hour
The predicted increase per hour is 30 miles
O The predicted number of miles driven at at the beginning is 0
The predicted increase in miles driven per hour is 12
O The predicted number of miles driven at the beginning is 12
5
150
The y-intercept means
O The predicted number of miles driven at the beginning is 30
O The predicted increase per hour is 30 miles
The predicted increase in miles driven per hour is 12
The truck driver always drives 30 miles per hour
O The predicted number of miles driven at at the beginning is 0
O The predicted number of miles driven at the beginning is 12
6
203
a) Determine a linear regression equation for the data. Round the slope and y-intercept to the nearest
whole number.
7
216

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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