A statistics practitioner in a large university is investigating the factors that affect salary of professors. He wondered if evaluations by students are related to salaries. To this end, he collected 100 observations on:y = Annual salary (in dollars)x = Mean score on teaching evaluationTo accomplish his goal, he assumes the following relationship:y = β(0) + β(1)x + ε Then, using Data Analysis, he obtained the following result. R2=0.23 Coefficient Standard Error Intercept 25675.5 11393x 5321 2119Required:What are the null and alternative hypotheses, respectively?

Complete Question

The complete question is shown on the first uploaded image

The null hypothesis is  

 The alternative hypothesis is  

Step-by-step explanation:

From the question we are told that

        The number observations is  

         The  annual salary (in dollars) is  y

          The  mean score on teaching evaluation is  x

          The the relationship between the y and  x is

Where   is the mean of the equation so

  The null hypothesis is  

   The alternative hypothesis is  

i can't read the graph

step-by-step explanation:

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.