Questions: Haley created a scatter plot and drew a line of best fit, as shown. What is the equation of the line of best fit that Haley drew?

Haley created a scatter plot and drew a line of best fit, as shown. What is the equation of the line of best fit that Haley drew?
Transcript text: Haley created a scatter plot and drew a line of best fit, as shown. What is the equation of the line of best fit that Haley drew?
failed

Solution

failed
failed

Solution Steps

Step 1: Identify two points on the line of best fit

To find the equation of the line of best fit, we need to identify two points that lie on the line. From the graph, we can approximate two points:

  • Point 1: (2, 16)
  • Point 2: (18, 12)
Step 2: Calculate the slope (m) of the line

The slope of a line is given by the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Using the points (2, 16) and (18, 12): \[ m = \frac{12 - 16}{18 - 2} = \frac{-4}{16} = -\frac{1}{4} \]

Step 3: Use the slope-intercept form to find the y-intercept (b)

The slope-intercept form of a line is: \[ y = mx + b \] We can use one of the points and the slope to solve for \( b \). Using point (2, 16): \[ 16 = -\frac{1}{4}(2) + b \] \[ 16 = -\frac{1}{2} + b \] \[ b = 16 + \frac{1}{2} \] \[ b = 16.5 \]

Final Answer

The equation of the line of best fit is: \[ y = -\frac{1}{4}x + 16.5 \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Test: Test 2 - Chs 3 and 4 - Fall 2024 Question 17 of 37 This test: 94 point(s) possible This question: 3 point(s) possible Submit test Question list Question 9 Question 10 Question 11 Question 12 Question 13 Question 14 Question 15 Question 16 Match the accounting terminology to the definitions. Definition Term Requires companies to record revenue when it satisfies each performance obligation. Assumes that a business's activities can be sliced into small time segments and that financial statements can be prepared for specific periods. Guides accounting for expenses, ensures that all expenses are recorded when. they are incurred during the period, and matches those expenses against the revenues of the period. Matching principle Revenue recognition principle Time period concept
failedAnswered
A gumball machine contains 7 red gumballs and 4 white gumballs. Two gumballs are purchased, one after the other, without replacement. Find the probability that at least one gumball is white. Express your answer as a decimal, rounded to the nearest hundredth. Type your answer.-
failedAnswered
Which condition may arise because of nasogastric tube drainage? Pneumonia Constipation Urinary retention Metabolic alkalosis
failedAnswered
Analizar la continuidad de la función, f(x, y)= x^2/(x^2+y^4-x) si (x, y) ≠ (0,0) 0 si (x, y) = (0,0)
failedAnswered
When no more than 110 units are produced, the cost of producing y units is given by C(x). C(x) = 0.2x^3 - 25x^2 + 1520x + 27,231 How many units should be produced in order to have the lowest possible average cost? units should be produced. (Round to one decimal place as needed.)