this question:

A study was conducted on the relationship between a drivers age and the distance (in feet) at which they are able to read a traffic sign. The data was fit into a linear regression model, which gave the predicted regression line as y = -3.38x + 549.39, where x represents the age of the driver. It is known that r2 = 0.7208 . A scatterplot of the data and a table of the data are shown below. Age Vs. Visual Legibility of Traffic Sign (ft) Age Legibility Age Legibility Distance(ft) Distance(ft) 550 18 439.8279 43 353.5275 20 561.1337 49 423.2779 21 473.5782 50 378.7858 500 23 483.9888 51 405.3261 27 469.1335 52 372.737 450 28 532.6251 52 351.2903 28 479.5722 53 328.929 400 y = -3.38x+549.39 30 413.0458 57 312.9966 Traffic Sign Legibility Distance (ft) 30 452.7906 67 341.6418 32 365.8802 67 354.3762 350 32 397.5584 69 282.2558 37 389.4082 71 284.2212 300 37 499.4397 73 335.9578 40 422.5386 77 301.9466 250 43 353.5275 83 211.757 49 423.2779 89 316.512 70 75 80 85 90 200 56 60 65 20 25 30 35 40 45 50 AgeFill in the answer in the space provided. Use decimals only. a) What is the slope of the regression line? (2 points) _~ b) Calculate the correlation between age of driver and the distance at which they are able to read a traffic sign. (2 points) _~ c) Would this correlation be classied as strong, moderate, or weak? Write one of these in the space. (Make sure to spell correctly.) (2 points) i l 6/ d) Find the predicted distance at which a 16 year-old driver is able to visually read a traffic sign. (Enter the distance only, DO NOT include units.) (2 points) l l 6/ e) Is the predicted distance that you found in part d) a valid prediction? Answer yes or no in the space. (1 point) '3/ l f) Find the residual for the 23 year-old driver. (2 points) 6/ g) If the age of a driver is changed from 23 to 45, what is the predicted change (in magnitude) of the distance they are able to read a traffic sign? (2 points) '3/ h) Is the predicted change from g) a positive or negative change? (1 point) 6/ i) What percent of the distance a driver is able to visually read a traffic sign is NOT explained by the linear relationship with the age of the driver? (Give your answer as a percent to 2 decimal places) (2 points) i n