Regression Assignment #7 (Summer 2022)

Instructions: Read the following scenario, and then answer the questions that follow (5 points)

Several years ago, some researchers studied Miami drivers, measuring their aggression levels when they were forced to wait for the driver ahead of them to move when a red stoplight turned green. The researchers found that drivers were less likely to honk their horns when they were identifiable (in a convertible with the top down) than when they were unidentifiable (in a convertible with the top up)!

You decide to test a slightly different version of this study looking at temperature. After all, there is a strong correlation between aggression and temperature, with people being more aggressive as the temperature increases. You and a research assistant drive around Miami and stop at red stoplights. When the light turns green, you do not move for 10 seconds. During those 10 seconds, your research assistant counts how many times the car right behind you honks their horn. You make sure to run your experiment across different temperatures, predicting that you will hear more horn honks the higher the temperature.Below are the data for a sample of n=10 cars. Using Outside Temperature (X) and Number of Horn Honks (Y), fill in the blank spaces in following chart to assess this relationship:

	Temperature (X)	Number of Honks (Y)	X2	Y2	XY
	77	3
	78	3
	79	4
	82	3
	85	6
	87	7
	88	7
	90	8
	92	10
	92	9
Total

1. Which of the following is correct?

A). The predictor (independent) variable is Temperature. The criterion (dependent) variable is Honks. The researchers are trying to see if Temperature predicts Honks

B). The predictor (independent) variable is Temperature. The criterion (dependent) variable is Honks. The researchers are trying to see if Honks predicts Temperature

C). The predictor (independent) variable is Honks. The criterion (dependent) variable is Temperature. The researchers are trying to see if Temperature predicts Honks

D). The predictor (independent) variable is Honks. The criterion (dependent) variable is Temperature. The researchers are trying to see if Honks predicts Temperature

2. What is the correct regression weight (b)? (round to three decimal places here). (1 point)

A). -31.580

B). -4.42

C). -0.442

D). 0.442

E). 31.580

3. What is the correct regression intercept (a)? (round to three decimal places here) (1 point)

A). -31.580

B). -4.42

C). -0.442

D). 0.442

E). 31.580

4. What is the correct regression equation (Y')? (use three decimal places here) (1 point)

A). Y' = -31.580X + 0.442

B). Y' = .442X + 31.580

C). Y' = .442X - 31.580

D). Y' = -4.42X - 31.580

E). X = .442Y' - 31.580

5. Imagine the temperature outside is 83 degrees. Given your regression equation, how many times would you expect the driver behind you to honk? (For your final answer, please round to two decimal places - your answer might differ by a few decimals, so choose the BEST option from those below) (1 point)

A). -0.82 honks

B). 5.11 honks

C). 8.75 honks

D). 9.76 honks

E). 68.27 honks