Question

. A convenience store manager notices that sales of soft drinks are higher on hotter days, so he assembles the data in thetable. Hewantstousethisdatatohelppredicthowmuchinventorytopurchase.
Temperature SodaSales
52◦ 380

76◦    473
59◦ 397
66◦    430
83◦ 510
72◦ 451
87 555
91◦    583
56◦ 376
74◦    484
64◦ 453
84◦ 500
94◦    578
61◦    402
(a) Whatisthevalueofthecorrelationcoefficient,r?
(b) Is the correlation strong enough to use the regressionlineasapredictor? Usethecriticalvalueatan α = 0.05 toshowwhyorwhynot.
(c) Givetheequationofthelinearregressionline.
(d) Whatdoestheslopetellyouaboutthedata?
(e) Predictthenumberofsodacansthestoremanager shouldpurchasewhenthetemperatureis 45◦.
(f) Predictthenumberofsodacansthestoremanager shouldpurchasewhenthetemperatureis 85◦.

Answer 1