Question

The accompanying data table includes the engine size (in liters) and horsepower (HP) of 20 types of cars sold last year. Complete parts (a) through (9) below. Click the icon to view the data table. (a) Create a scatterplot of the horsepower on the engine displacement of the car. Does the trend in average horsepower seem linear? Choose the correct graph below. Engine Size (L) Engine Size (L) Horsepower (HP) Horsepower (HP) HT8 550 Horsepower (HP) 550 Horsepower (HP) Engine Size (L) Engine Size (L) Does the pattern in the plot seem linear? A. Yes, because the scatterplot does not show any obvious pattern. B. Yes, because the scatterplot shows an approximate linear pattern. c. No, because the scatterplot does not show any obvious pattern. OD. No, because the scatterplot shows an obvious curved line.

Engine_Size Horsepower

5.9 488

6.0 404

6.2 416

3.4 249

3.0 251

3.5 262

3.8 299

4.0 304

4.2 309

1.4 124

1.5 154

3.6 268

1.6 139

1.8 148

5.9 466

2.0 185

2.3 183

2.4 191

2.5 228

2.8 247

Answer 1

- 1 The pattern of plot seems linean because the scattenplot shows an approximate linean pattena the linear model is- Y= 39.62€ 66.7X re, B-Estimated HP & 39.620 + 66.700 Engine Size (2) D The intercept of 39.620 Up is lange extra- polation & not directly interprelable A The slope is 66.700 HP/L. for every one litten of engine size & increases, the average омрочил селае bе a go Hр @ re² o. 9 alle sländand ennor - 22.7 le the value of ² mean that the equation describes about a 90% of the maniation The nature se means that the standard driation of the residuals is 22.7 UP. • It is given (14) & (2, 185) Now, ŷ = 39.62 + (667x2) - 173.02 i nevidual a yoy a 11.98 of The data point lies above the fitted line, since, y z