Question 1
Paper 1Easy6 marksA running coach records the weekly training time, hours, and 5 km race time, minutes, for six runners.
| 2 | 4 | 5 | 7 | 9 | 10 | |
|---|---|---|---|---|---|---|
| 31.8 | 29.4 | 28.7 | 26.3 | 25.5 | 23.9 |
(a)[1]
Use your graphic display calculator to find Pearson’s product-moment correlation coefficient, Give your answer to three significant figures.
(b)[1]
Describe the direction and strength of the correlation.
(c)[2]
Use your graphic display calculator to find the equation of the regression line of on in the form Give the values of and to three significant figures.
(d)[1]
Use the regression line to estimate the 5 km race time for a runner who trains for 6.5 hours per week. Give your answer to three significant figures.
(e)[1]
Interpret the value of in this context.