A bakery is interested in the effect of six baking temperatures on the quality of its cakes. The bakers agree on a measure of cake quality, Y. A large batch of cake mix is prepared and 36 cakes are poured. The baking temperature is assigned at random to the cakes such that six cakes are baked at each temperature. Results are as follows: Temperature (ºF) 175 185 195 205 215 225 22 4 10 22 32 20 10 21 22 14 27 36 18 18 18 21 22 33 26 28 32 25 37 33 21 21 28 26 27 20 21 28 25 25 31 25 Do a complete analysis of these data and write the "best" fitting model for predicting cake quality from temperature.

Step-by-step explanation:

The results of the temperature(°F) can be grouped in six colunms

18      21      22       27       32         178

20     21      25       27       32         185

20     21      25       28       33         195

21      22      25      28       33          205

21      22      26      28       36          215

21      22     26       31        37          225

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05