In this context, we analyze a linear regression where Y is the variable "Annual salary" predicted by X, which denotes "Mean score on teaching evaluation" for university professors. The goal is to ascertain whether there is a correlation between student evaluations and professor salaries. The population regression equation can be stated as E(Y)= β₀ + β₁X. Given an n = 100 sample, data shows an R² of 0.23. Further statistical calculations yield the estimated equation as ^Y= 25675.5 + 5321X. To verify if teaching evaluations impact salaries, the null and alternative hypotheses are H₀: β = 0 and H₁: β ≠ 0. A two-tailed t-test can be performed, with the calculated t-value being approximately 25.1109. The resulting two-tailed p-value is found to be significantly less than 0.00001.
Detailed explanation:
To determine height:
draw a perpendicular from A to CD
height = (13) ² - (5) ² = 12 cm
area = (10+20) / 2 × 12 = 180 cm²
The selections that are below 2.312 include A, D, and E. Step-by-step explanation: I believe this is correct.
