mr. moore is trying to convince his high school students that it is better to slow down when they are…

mr. moore is trying to convince his high school students that it is better to slow down when they are learning to type. he believes that students who type too quickly make too many errors. to prove this point, mr. moore has the students take a typing test. he records their average typing speed (in words per minute), x, and the number of errors they made, y.\nthe line of best fit/regression line of this data is:\ny = 3.473x - 155.317\n(5 points)\nusing the regression line, about how many errors would be made if the students typed zero words per minute?\nfor an increase of one word per minute typing speed, the regression line predicts an increase of how many errors?\nif a student types at 50 words per minute, how many errors does the regression line predict will be made?\nif a student types 70 words per minute, how many errors does the regression line predict will be made?\ndoes this support mr. moores claim that the slower a student types, the fewer errors will be made?

mr. moore is trying to convince his high school students that it is better to slow down when they are learning to type. he believes that students who type too quickly make too many errors. to prove this point, mr. moore has the students take a typing test. he records their average typing speed (in words per minute), x, and the number of errors they made, y.\nthe line of best fit/regression line of this data is:\ny = 3.473x - 155.317\n(5 points)\nusing the regression line, about how many errors would be made if the students typed zero words per minute?\nfor an increase of one word per minute typing speed, the regression line predicts an increase of how many errors?\nif a student types at 50 words per minute, how many errors does the regression line predict will be made?\nif a student types 70 words per minute, how many errors does the regression line predict will be made?\ndoes this support mr. moores claim that the slower a student types, the fewer errors will be made?

Answer

Answer:

  1. -155.317
  2. 3.473
  3. 17.333
  4. 87.893
  5. No

Explanation:

Step1: Substitute x = 0

Substitute (x = 0) into (y=3.473x - 155.317), we get (y=3.473\times0 - 155.317=- 155.317)

Step2: Identify slope

The slope of the regression - line (y = mx + b) is (m). In (y = 3.473x-155.317), for an increase of 1 in (x), (y) increases by 3.473.

Step3: Substitute x = 50

Substitute (x = 50) into (y=3.473x - 155.317), (y=3.473\times50-155.317 = 173.65-155.317=17.333)

Step4: Substitute x = 70

Substitute (x = 70) into (y=3.473x - 155.317), (y=3.473\times70-155.317=243.11 - 155.317 = 87.793)

Step5: Analyze relationship

The slope of the regression line is positive ((m = 3.473>0)), which means as (x) (typing speed) increases, (y) (number of errors) increases. So, it does not support Mr. Moore's claim that the slower a student types, the fewer errors will be made.