1. Using the two data sets below: 1) Draw a scatterplot for each.
2) Test whether the correlations are significant.
Use 0.01 for α
a) If the correlation(s) are/is significant, use the equation of best fit to find 𝑦 for each given x.
Hours Studying
Test Score
0.5 45
0.75 49
1.0 48
2.0 66
2.25 74
2.5 79
3.0 94
Height (Inches)
G.P.A. 61
4.05 64
3.99 67
2.5 69
0.50 70
4.00 72
3.98 76
2.75
𝑥=1.25 𝑎𝑛𝑑 2.66
𝑥=65 𝑎𝑛𝑑 71

2. Using the two data sets below: 1) Draw a scatterplot for each.
Hours Studying
Test Score
0.5 45
0.75 49
1.0 48
2.0 66
2.25 74
2.5 79
3.0 94

3. Using the two data sets below:
2) Test whether the correlations are significant.
Use 0.01 for α
a) If the correlation(s) are/is significant, use the equation of best fit to find 𝑦 for each given x.
𝐻 0 :𝜌=0 𝐻 𝑎 :𝜌≠0
STAT–TEST–F
𝑡=11.994
𝑝=7.106 𝐸 − 5
𝑟=.983
𝑦=18.952𝑥
Since 𝑝≤𝛼, reject the null.
The correlation is significant.

4. Using the two data sets below:
2) Test whether the correlations are significant.
Use 0.01 for α
a) If the correlation(s) are/is significant, use the equation of best fit to find 𝑦 for each given x.
𝑦=18.952𝑥
≈56
≈83
Hours Studying
Test Score
0.5 45
0.75 49
1.0 48
2.0 66
2.25 74
2.5 79
3.0 94
𝑥=1.25 𝑎𝑛𝑑 2.66

5. Using the two data sets below: 1) Draw a scatterplot for each.
Height (Inches)
G.P.A. 61
4.05 64
3.99 67
2.5 69
0.50 70
4.00 72
3.98 76
2.75

6. Using the two data sets below: 1) Draw a scatterplot for each.
2) Test whether the correlations are significant.
Use 0.01 for α
a) If the correlation(s) are/is significant, use the equation of best fit to find 𝑦 for each given x.
Height (Inches)
G.P.A. 61
4.05 64
3.99 67
2.5 69
0.50 70
4.00 72
3.98 76
2.75
𝐻 0 :𝜌=0 𝐻 𝑎 :𝜌≠0
STAT–TEST–F
𝑡=−.565
𝑝=.597
𝑟=−.245
𝑦=−.065𝑥+7.553
Since 𝑝>𝛼, Fail to reject the null.
The correlation is NOT significant.
𝑥=65 𝑎𝑛𝑑 71

7. Using the two data sets below: 1) Draw a scatterplot for each.
2) Test whether the correlations are significant.
Use 0.01 for α
a) If the correlation(s) are/is significant, use the equation of best fit to find 𝑦 for each given x.
Height (Inches)
G.P.A. 61
4.05 64
3.99 67
2.5 69
0.50 70
4.00 72
3.98 76
2.75
We can not use the equation to make any predictions, because the correlation is NOT significant.
𝑥=65 𝑎𝑛𝑑 71