1.A chocolatier used a simple linear regression to estimate the energy content (calories) of a new block of chocolate, based on the sugar content (grams).The following information was found:

Estimated energy content = 47.68 + 4.78 Sugarwithr = 0.49andn = 33

What is the residual for this block of chocolate that has68.46 grams of sugar, if you are told that the actual energy content for this same block of chocolate is 579.7 calories?Please give your answer correctly rounded to two decimal places.Do NOT give units.

2.

Is there a relationship between weekly sales revenue [$000) of a coffee shop and the size of the coffee shop [square metres}. the number ofchairs in the coffee shop and the number of hours. per week; a competitor coffee shop is open? A random sample of coffee shops was selected, data collected on these variables and EXCEL then used to create a regression. Part of the regression output is provided here: Which of the following is the correct statement when testing the coefficients of the independent variables, at oof.5? _m \"m 29022-8 mmmmm-m mm D None of the coefcients are significantly different to zero. D None of these choices is correct. D Only the coefcient of Chairs is signicantly different to zero. D The coefcients of Size and Hours are each signicantly different to zero. D The coefcients of Size, l[hairs and Hours are significantly different to zero. A researcher was interested in the relationship between annual electricity bills {HUD} of an ofce; average outside temperature \"C and ofce size [square metres]. A random sample was selected, and data collected. EXCEL was used to create a multiple linear regression, with a portion of the output provided here: --- n--- --- --- --- IWhat is the upper confidence limit for a 95% confidence interval for the coefficient of Office Size? Please give your answer correct to two decimal places and do NOT include units in your