Georges asked five of his friends how long they studied for the last math test and what grade they received. he found a

Georges asked five of his friends how long they studied for the last math test and what grade they received. he found a linear regression equation for the data to be y = 9.6x + 65.8. what does the 65.8 mean in the context of this equation? a) if they studied 0 hours they would earn a 65.8. b) the lowest grade of his five friends was a 65.8. c) the lowest grade they could receive on the test was a 65.8. d) for every hour they studied their grade would go up 65.8 points.

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  1. 4. C) [tex](3, -2)[/tex]

    3. B) 9,6 = the number of points you would increase each hour of studying; 65,8 = your score if you studied 0 hours

    2. B) The events have a strong positive linear correlation.

    1. C) Find the slope using the slope formula:

    [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

    Step-by-step explanation:

    4. (−7, 10) → 10 = 7 + 3 ☑

    (−1, 4) → 4 = 1 + 3 ☑

    (0, 3) → 3 = 0 + 3 ☑

    (3, −2) → −2 ≠ −3 + 3; 0 ☒

    3. You obviously have to plug "0" in for x to get your initial value of 65,8, which represents the minimum value of points you would receive if you never were to study, and of course, the 9,6 is the average score increased for every hour studied.

    2. The correlation coefficient is 0,02, which is positive, so this would be the obvious choice.

    1. You CANNOT write a linear equation without FIRST finding the rate of change [slope]. You will ALWAYS need the rate of change in order to write any linear equation.

    I am joyous to assist you anytime.

  2. 4. C) [tex](3, -2)[/tex]

    3. B) 9,6 = the number of points you would increase each hour of studying; 65,8 = your score if you studied 0 hours

    2. B) The events have a strong positive linear correlation.

    1. C) Find the slope using the slope formula:

    [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

    Step-by-step explanation:

    4. (−7, 10) → 10 = 7 + 3 ☑

    (−1, 4) → 4 = 1 + 3 ☑

    (0, 3) → 3 = 0 + 3 ☑

    (3, −2) → −2 ≠ −3 + 3; 0 ☒

    3. You obviously have to plug "0" in for x to get your initial value of 65,8, which represents the minimum value of points you would receive if you never were to study, and of course, the 9,6 is the average score increased for every hour studied.

    2. The correlation coefficient is 0,02, which is positive, so this would be the obvious choice.

    1. You CANNOT write a linear equation without FIRST finding the rate of change [slope]. You will ALWAYS need the rate of change in order to write any linear equation.

    I am joyous to assist you anytime.

  3. D

    Step-by-step explanation:

    65.8 in this equation would be the base grade if they studied for no period of time. 9.6 in this context would show how much their grade would go up by depending on (x) amount of hours.

    As an example;

    0 hours studied: 9.6(0) + 65.8 = 65.8

    1 hours studied: 9.6(1) + 65.8 = 75.4

    2 hours studied: 9.6(2) + 65.8 = 85

    ..and so on

  4. slope 9.6 represents change in grade over time taken to study for the last math test

    Step-by-step explanation:

    Georges asked five of his friends how long they studied for the last math test and what grade they received. He found a linear regression equation for the data to be y = 9.6x + 65.8.

    y= 9.6 x + 65.8

    from the equation y = mx+b, m is the slope and b is the y intercept

    From the given equation

    slope = 9.6  and y intercept = 65.8

    slope 9.6 represents change in grade over time taken to study for the last math test

  5. B. 9.6 = the number of points you would increase each hour of studying;

    65.8 = your score if you studied 0 hours

    Step-by-step explanation:

    A linear regression equation y = 9.6x + 65.8, with x representing hours.

    When x = 0, then y = 65.8. This means

    65.8 = your score if you studied 0 hours

    When x = 1, then

    [tex]y=9.6+65.8=75.4[/tex]

    is your score after studying one hour.

    The score increased by [tex]75.4-65.8=9.6,[/tex] so

    9.6 = the number of points you would increase each hour of studying.

  6. Assuming y represents the grade earned and x represents hours studied, the fact that y=65.8 when x=0 means ...
      A) If they studied 0 hours they would earn a 65.8.

  7. Step-by-step explanation:

    In order to answer this problem, let us assume that x is the number of hours (the independent variable) and y is the score obtained (the dependent variable). The value 65.8 is the y-intercept which means that we will get y = 65.8 if x is equal to zero. This means that 65.8 is the score that one can get if he does not study at all. 

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