CHAPTER 4 Flashcards

1
Q

when do two variable have an association?

A
  • when there is a relationship between them
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2
Q

where should you plot the explanatory (independent) variable when drawing a scatter diagram?

A
  • x axis
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3
Q

what is correlation?

A
  • association between two variables that show increasing or decreasing trend
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4
Q

what is positive correlation?

A
  • one variable increases when the other increases
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5
Q

what is negative correlation?

A
  • when one variable decreases as the other increases
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6
Q

when is the correlation linear?

A
  • when the points lie on or are near a straight line
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7
Q

what is a causal relationship?

A
  • when a change in one variable directly causes a change in another variable, there is a causal relationship between them
  • correlation does not necessarily imply a causal relationship
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8
Q

how to get a good fit when drawing a line of best fit:

A
  • draw line through mean point
  • sometimes written as (x, y)
    both with lines on top
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9
Q

what is interpolation?

A
  • using a line of best fit to estimate values within the data range
  • usually reliable
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10
Q

what is extrapolation?

A
  • using a line of best fit to estimate values outside the data range
  • less reliable as they are further away from the range of data
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11
Q

equation of a line of best fit:

A
  • y= ax + b
  • a= gradient
  • b= y intercept
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12
Q

what is the other name for the line of best fit?

A
  • regression line
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13
Q

what does the gradient of a line of best fit represent?

A
  • rate of increase of the response variable in relation to the explanatory variable
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14
Q

what does the y- intercept of a line of best fit represent?

A
  • value of response variable when the explanatory variable is 0
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15
Q

what does spearman’s rank correlation coefficient measure?

A
  • strength of correlation between two sets of data
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16
Q

what does it mean if r is close to 1, 0 or -1 (spearman’s or Pearson’s)?

A
  • 1= strong positive correlation
  • 0= no correlation
  • -1= strong negative correlation
17
Q

what does Pearsons product moment correlation coefficient measure?

A
  • strength of linear correlation between two sets of data
18
Q

when is Pearson’s product moment correlation coefficient suitable?

A
  • when data shows linear correlation
19
Q

when is spearman’s rank correlation coefficient suitable?

A
  • when data shows non- linear correlation