1.Select statement below that is not true about linear regression.

Group of answer choices

Linear regression assumes the underlying relationship between the independent variable and the dependent variable is linear

Linear regression assumes the variances of the outcome is not constant across all values of the independent variable

Linear regression assumes the residuals are normally distributed

Linear regression is used to explain how changes in the values of the independent variable impact the dependent variable

Linear regression is used to predict the value of a dependent variable based on the value of at least one independent variable

2.Select the appropriate null and alternative hypothesis for the following research question:

Do people enjoy playing video games more than playing sports?

phat1 = proportion of people who enjoy playing video games more than sports

phat2 proportion of people who enjoy playing sports more than video games

Group of answer choices

Null Hypothesis:

People enjoy playing video games a different amount than playing sports i.e.phat1 =/= phat2

Alternative Hypothesis:

People enjoy playing video games the same as playing sports i.e.phat1 = phat2

Null Hypothesis:

People enjoy playing video games the same as playing sports i.e.phat1 = phat2

Alternative Hypothesis:

People enjoy playing video games a different amount than playing sports i.e.phat1 =\= phat2

Null Hypothesis:

People enjoy playing video games less than or equal to playing sports i.e.phat1 <= phat2

Alternative Hypothesis:

People enjoy playing video games more than playing sports i.e.phat1 > phat2

Null Hypothesis:

People enjoy playing video games more than playing sports i.e.phat1 > phat2

Alternative Hypothesis:

People enjoy playing video games less than or equal to playing sports i.e.phat1 <= phat2

Null Hypothesis:

People enjoy playing video games more than or equal to playing sports i.e.phat1 >= phat2

Alternative Hypothesis:

People enjoy playing video games less than playing sports i.e.phat1 < phat2

Null Hypothesis:

People enjoy playing video games less than playing sports i.e.phat1 < phat2

Alternative Hypothesis:

People enjoy playing video games more than or equal to playing sports i.e.phat1 >= phat2

3.Calculate the appropriate test statistic based on the information provided (round your answer to 4 decimal places):

Research Question: Do carpenters make a different salary than crane operators?

DO NOTASSUME THE POPULATION STANDARD DEVIATIONS OF THE TWO SAMPLES ARE EQUAL

Group 1: Carpenter

Sample mean = 60000

Sample standard deviation = 5500

Sample size = 10

Group 2: Crane Operator

Sample mean = 62500

Sample standard deviation = 2500

Sample size = 14