Exam Notes - Statistics and Data Analysis

Trend Line Slope

• Calculate the slope of the trend line (rise over run) and round to the nearest tenth.

Table Analysis: Travel & Degrees

• Analyze the provided table concerning travel habits and degrees.
• Evaluate the truthfulness of the following statements:
  • A) 60% of those with a degree do not travel.
  • B) 35% of those without a degree do travel.
  • C) 60% of those with a degree do travel.
  • D) 40% of those without a degree do not travel.

Line of Best Fit

• Determine which statement is true regarding the line of best fit on a graph:
  • A) The line of best fit should be lower.
  • B) The line of best fit should be higher.
  • C) The line is the best fit as it is.
  • D) The line of best fit should go through all the points.

Table Analysis: Sports (Running, Cycling, Swimming)

• Given a table of data about men and women participating in running, cycling, and swimming, determine which of the following statements are true:
  • A) Men tend to run more than cycle or swim.
  • B) Women tend to swim more than cycle or run.
  • C) Women tend to cycle more than run or swim.
  • D) Men tend to swim more than run or cycle.
• The table summarizes:
  • Women:
    • Run: 15
    • Cycle: 9
    • Swim: 6
    • Total : 30
  • Men:
    • Run: 6
    • Cycle: 12
    • Swim: 13
    • Total: 31
  • Total:
    • Run: 21
    • Cycle: 21
    • Swim: 19
    • Total: 61.

Equation Analysis: y = x - 16

• Using the equation $y = x - 16$, determine which statement is likely to be TRUE.
  • A) There is a negative association between the variables.
  • B) There is a positive association between the variables.
  • C) There is a linear association between the variables.
  • D) There is a non-linear association between the variables.
  • Explanation: The equation $y = x - 16$ represents a linear relationship. The slope of the line is positive (1), so when the value of x increases, the value of y also increases. This indicates a positive association between the variables.

Fundraiser Earnings: y = 8x + 132

• The amount of money earned by a fundraiser is modeled by the equation $y = 8x + 132$, where x is the number of meals and y is the total dollars earned. Determine which of the following statements is TRUE.
  • A) When 5 meals are ordered, the club can expect to earn $40.
  • B) When 43 meals are ordered, the club can expect to earn $476.
  • C) When 62 meals are ordered, the club can expect to earn $628.
  • D) When 71 meals are ordered, the club can expect to earn $700.
• Calculations:
  • A) $y = 8(5) + 132 = 40 + 132 = 172$
  • B) $y = 8(43) + 132 = 344 + 132 = 476$
  • C) $y = 8(62) + 132 = 496 + 132 = 628$

Miles and Time: y = 8.5x + 6

• The equation $y = 8.5x + 6$ models the relationship between the miles (x) and the total time in minutes (y). In which of the following statements is correct:
  • A) The average time an athlete needs to prepare to run is 6 minutes.
  • B) On average, the athlete takes 6 minutes to run 1 mile.
  • C) the average time an athlete needs to prepare to run is 8.5 minutes.
  • D) On average, the athlete takes 8.5 minutes to run 1 mile.
  • Explanation: In the equation $y = 8.5x + 6$, $8.5$ represents the rate of time per mile (slope) and $6$ represents the initial time, the y-intercept. In this context, this might be the preparation time before running.

Scatter Plot Analysis

• Based on a scatter plot, determine the correct statements among the following:
  • A) There is a positive association.
  • B) There are one or more outliers.
  • C) There is a linear association.
  • D) All of the above.