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1 2 3 4 5 6 7x
Collection 1 Scatter Plot
5.4 Line of Best FitGiven the following scatter plots, draw in your line of best fit and classify the type of relationship:
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1 2 3 4 5 6 7x
y = 1.18x + 12.2; r^2 = 0.67
Collection 1 Scatter Plot
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y1 2 3 4 5 6 7 8
x
Collection 2 Scatter Plot
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y
1 2 3 4 5 6 7 8x
y = -1.55x + 26; r^2 = 0.62
Collection 2 Scatter Plot
StrongPositiveLinear
StrongNegativeLinear
These are the equations of the lines of best fit.
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y
1 2 3 4 5 6 7 8x
y = -1.55x + 26; r^2 = 0.62
Collection 2 Scatter Plot
4
8
12
16
20
y
1 2 3 4 5 6 7x
y = 1.18x + 12.2; r^2 = 0.67
Collection 1 Scatter Plot
5.4 Line of Best FitGiven the following scatter plots, draw in your line of best fit and classify the type of relationship:
StrongPositiveLinear
StrongNegativeLinear
These are the coefficients of determination, r2. If we take the square root of these values we get the correlation coefficient, r. What would the r-values be in this case?
5
10
15
20
25
y
1 2 3 4 5 6 7 8x
y = -1.55x + 26; r^2 = 0.62
Collection 2 Scatter Plot
4
8
12
16
20
y
1 2 3 4 5 6 7x
y = 1.18x + 12.2; r^2 = 0.67
Collection 1 Scatter Plot
5.4 Line of Best FitGiven the following scatter plots, draw in your line of best fit and classify the type of relationship:
StrongPositiveLinear
StrongNegativeLinear
r = 0.82 r = -0.79In this case the negative sign is added since it’s a negative relationship
5.4 Line of Best FitThe correlation values range from -1 to 1:
Perfect Correlation
-0.33-1 10.33 0.66-0.66 0Strong StrongModerate ModerateWeak Weak
