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f2-bedroom Toronto 265.66 2-bedroom Toronto 370.09 2-bedroom Toronto 379.31 2-bedroom Toronto 299.93 2-bedroom Toronto 277.30 2-bedroom Toronto 298.53 2-bedroom Toronto 290.22 2-bedroom Toronto 282.36 2-bedroom

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\f2-bedroom Toronto 265.66 2-bedroom Toronto 370.09 2-bedroom Toronto 379.31 2-bedroom Toronto 299.93 2-bedroom Toronto 277.30 2-bedroom Toronto 298.53 2-bedroom Toronto 290.22 2-bedroom Toronto 282.36 2-bedroom Toronto 215.88 3-bedroom Toronto 360.99 3-bedroom Toronto 433.41 3-bedroom Toronto 402.80 3-bedroom Toronto 432.45 3-bedroom Toronto 338.85 3-bedroom Toronto 289.35 3-bedroom Toronto 370.12 3-bedroom Toronto 357.06 3-bedroom Toronto 370.07 4-bedroom Toronto 452.35 4-bedroom Toronto 407.70 4-bedroom Toronto 336.70 4-bedroom Toronto 375.80 4-bedroom Toronto 386.38 4-bedroom Toronto 419.22 4-bedroom Toronto 525.27 4-bedroom Toronto 356.28 4-bedroom Toronto 351.762-bedroom London 219.16 2-bedroom London 272.94 2-bedroom London 254.60 2-bedroom London 276.84 2-bedroom London 258.08 2-bedroom London 298.33 2-bedroom London 273.84 2-bedroom London 188.17 2-bedroom London 302.51 3-bedroom London 334.46 3-bedroom London 205.39 3-bedroom London 329.45 3-bedroom London 379.03 3-bedroom London 388.49 3-bedroom London 340.54 3-bedroom London 325.65 3-bedroom London 297.92 3-bedroom London 364.53 4-bedroom London 390.08 4-bedroom London 381.91 4-bedroom London 374.20 4-bedroom London 324.30 4-bedroom London 330.98 4-bedroom London 391.65 4-bedroom London 350.69 4-bedroom London 349.00 4-bedroom London 477.20Question 2 - Utility Bills Supposed that. when comparing utility bills. a researcher was interested in determining whether residential utility bills differed among different cities in Canada. and also whether they differed depending on the number of bedrooms in a house. As part of the study, a random sample of households in different Canadian cities was selected, and their monthly utility bills and number of bedrooms were recorded The data is provided in the dataset Utility Bills a] Plot the residuals against the tted values corresponding to the two-way ANDVA model for this analysis What two key model assumptions can be examined with this plot and do they appear to be warranted? b] Test the following hypothesis at the 1% signicance level; make sure you follow all the steps for hypothesis testing indicated in the instructions section. Use software to generate the corresponding two-way ANOVA table, but show any other computations. I Signicant interaction effect between number of bedrooms and city: . Signicant main effect of the number of bedrooms factor [if warranted); 0 Signicant main effect of the city factor [if warranted]. c] Create the corresponding interaction plot and explain if it shows interaction between number of bedrooms and city. is this consistent with your results for part b) above

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