A mathematics teacher wanted to see the correlation between test scores and homework. The homework grade (x) and test grade (y) are given in the accompanying table. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, find the projected test grade, to the nearest integer, for a student with a homework grade of 72.Homework Grade (x) Test Grade (y)6565 52527878 82827171 70707676 73738484 84845656 45456868 60607272 57577878 7777Copy Values for CalculatorOpen Statistics CalculatorAnswerAttempt 1 out of 2Regression Equation: Final Answer:

The director of admissions of a small college selected 120 students at random from the new freshman class in a study to determine whether a student’s grade point average (GPA) at the end of the freshman year (Y) can be predicted from the ACT test score (X). So the director would like to fit a simple linear regression on Y and X.Based on the summary statistics below, please calculate the estimate of .=2666=2385.328=368.886=1183.379 = 93.928

Find the regression line associated with the set of points. (Round all coefficients to four decimal places.)(5, 7), (7, 11), (11, 15), (13, 3)y(x) = −0.1786x+9.9643 Graph the data and the best-fit line. (Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.)

The annual profits for a company are given in the following table, where x represents the number of years since 2012, and y represents the profit in thousands of dollars. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the projected profit (in thousands of dollars) for 2021, rounded to the nearest thousand dollars.Years since 2012 (x) Profits (y)(in thousands of dollars)00 12212211 13713722 13313333 15815844 16716755 175175

A school district wants to understand the relationship between SOL testing, teacher salary, and teacher tenure. They fit a multiple linear regression model, with the output shown below.Use this output to answer the following TWO questions. Flag question: Question 18Question 18Tips8.5 ptsWhat is the slope for teacher tenure? Round to four decimal places.

Suppose the linear regression line y = 3.009x – 77.131 predicts a pizza parlor's profits based on the number of pizzas sold. If x represents the number of pizzas sold, and y represents the pizza parlor's profits in dollars, about how much can the pizza parlor expect in profits if it sells 275 pizzas?A.$825B.$750C.$675D.$900SUBMITarrow_backPREVIOUS