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1)A fast food company is remodeling their stores and putting in new food preparation equipment

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1)A fast food company is remodeling their stores and putting in new food preparation equipment. It is hoped that this inve # Stores Remodeled 1 2 3 4 5 6 7 8 9 10 Chain Sales Increase per Week $3.000 $6.200 $9.600 $11.500 $12.000 $16.800 $21.000 $22.500 $26.700 $25.000 Here is a linear regression model with the “number of stores remodeled” as the “X Variable 1.” SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations 0,9853 0,970817 0,967169 1482,376 10 ANOVA df Regression Residual Total SS MS F Significance F 1 5,85E+08 5,85E+08 266,1286 2,01E-07 8 17579515 2197439 9 6,02E+08 CoefficientsStandard Error t Stat P-value Lower 95% Upper 95% Intercept 786,6667 1012,656 0,776835 0,459607 -1548,52 3121,857 X Variable 1 2662,424 163,2043 16,31345 2,01E-07 2286,074 3038,774 Answer the following questions regarding this model: a. Draw a scatter diagram showing the trendline - write down the regression equation here: b. According to this model, if two stores were remodeled, then what would the expected chain sales increase be. b. What does the value .97 in the “R Square” row mean, in plain English. c. Would you accept this as a statistically sound model – why or why not. Support your answer by numbers and proof based quipment. It is hoped that this investment will result in higher sales, higher customer counts, and better profits. Suppose that the chain’s s profits. Suppose that the chain’s sales improvements per week, seasonally adjusted, are below. 2. A person takes a new job and is experimenting with different routes into work. Two different routes are taken. The first ro Commuter Drive train 31 26 22 25 27 50 42 21 24 51 27 20 23 34 45 26 28 27 32 33 62 45 30 train average 30,5 Drive average 35 H0 = H1 the train is faster than the drive b. State the alternative hypothesis. H0 =/ H1 the train isn't faster than the drive c. State the significance level. the significance level is 0.05, the corresponding confidence le a. State the null hypothesis. d. Perform the calculations. e. Should we fail to reject the null hypothesis? Answer only one. Yes, because: or No, because: outes are taken. The first route is by commuter train, and 12 transit times in minutes are recorded. Then, the person drives in for 11 days H0 (innocent) is rejected if H1 (guilty) is supported by evidence beyond “reasonable doubt.” Failure to orresponding confidence level is 95%. If the P value is less than your significance (alpha) level, the hypothesis test is statistically significan n, the person drives in for 11 days, and records those transit times. At the 95% confidence level, is there enough evidence at this time to i nd “reasonable doubt.” Failure to reject H0 (prove guilty) does not imply innocence, only that the evidence is insufficient to reject it. thesis test is statistically significant. If the confidence interval does not contain the null hypothesis value, the results are statistically signifi enough evidence at this time to indicate that the commuter train is faster than driving. 3. Describe some of the advantages and disadvantages of using the Mann-Whitney test rather than a version of the two-sam One advantage is that it can compare two data sets that are different sizes. This makes the test much more versat makes the test much more versatile, and can be applied to a range of different data sets. Secondly, the test is not based on observed valu test is not based on observed values. Name - date On my honor, I pledge that I have neither given nor received help on this work.