A candy maker surveyed chocolate bars available in a local supermarket and found

Question

A candy maker surveyed chocolate bars available in a local supermarket and found the least squares regression model shown below. Use the model to answer parts a through c below. Calories = 29.9 + 10.39Fat(g) + 2.58Sugar(g) a) The hand-crafted chocolate she makes has 15g of fat and 15g of sugar. How many calories does the mode predict for a serving? __________ calories (Type an integer or a decimal.) b) In fact, a laboratory test shows that her candy has 189 calories per serving. Find the residual corresponding to this candy. ________ calories (Type an integer or a decimal.) c) What does that residual say about her candy? Choose the correct choice below and fill in the answer box within your choice. A. Her candy has ______________ more calories than might be expected from the model. B. Her candy has ______________ fewer calories than might be expected from the model. Find the critical value t* for the following situations. a) a 90% confidence interval based on df = 20. b) a 95% confidence interval based on df = 92. ^1 Click the icon to view the t-table. a) What is the critical value of t for a 90% confidence interval with df = 20? _________ (Round to two decimal places as needed.) b) What is the critical value of t for a 95% confidence interval with df = 92? __________ (Round to two decimal places as needed.) 1: t-table

Explanation / Answer

we are given that

Calories = 29.9 + 10.39*Fat + 2.58*sugar

a) now if fat = 15 and sugar = 15 , we put the values in the regression equation to get

Calories = 29.9 + 10.39*15 + 2.58*15 = 224.45

b)

We are given that the observed value of calories is 189 , so we know the

Residual = Actual value - Predicted value = 189-224.45 = -35.45

c) as the observed value is 189 and predicted value is 224.45 , hence correct answer is b.

her candy has 35.45 calories less than that predicted by the model

Please note that we can answer only 1 full question at a time , as per the answering guidelines

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