10. In a study of the legibility and visibility of highway signs the maximum distance at which each of 3-0 drivers could read a newly designed sign was determined. The 30 participants in the study ranged in age from 13 to 32 years. One goal of this study was to determine the relationship between 3 = age (years) and y = maximum distance {metres} the newly designed sign can be read. Summary statistics for the data are: E r; = 1530, E as? = 91732. X yt- = 12703,ny = 5. 570. 000. 2 rise = 606350. i I' I' 0 i i I 33\" = 13752. as\" = 193, mamas\" = 41350 The collected data is shown in the following scatterplot {a} (3 marks} Comment on the scatterplot depicting the association between the age and the maximum distance the new sign can he read. (b) (6 marks) Find the least squares regression line for predicting the distance based on the age. (c) (6 marks) Give an interpretation of the values of the intercept and slope in this context. What are their practical relevance? (d) (5 marks) Calculate Pearson's Correlation Coefficient for age and distance the sign can be read. Interpret. (e) (5 marks) A 99% confidence interval for the slope was found to be (-4.18, -1.83). Interpret this result