Chloe surveyed students in her class about the numbers of text messages they sent and received the previous day. An approximate least-squares regression line was used to predict the number of text
messages received from a given number of text messages sent.
80+
70-
60+
50+
Text messages received
40-
30
20+
10+
10 20 30 40 50 60 70 80
Text messages sent
Interpret the residual for the student indicated in the scatterplot above.

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.

Delbert keeps track of total of the total number of points he earns on homework assignments, each of which is worth 60 points. at the end of the semester he has 810 points. write an equation for delbert’s average homework score a in terms of the number of assignments n.

Ascientist studied a population of workers to determine whether verbal praise and/or tangible rewards affect employee productivity. in the study, some workers were offered verbal praise, some were offered tangible rewards (gift cards, presents, and some were offered neither. the productivity of each participant was measured throughout the study by recording the number of daily tasks completed by each employee. which inference might the scientists make based on the given information? a.) the number of daily tasks completed by each employee may influence the dependent variable, which is whether the employee receives verbal praise, tangible rewards, or neither. b.) verbal praise and/or tangible rewards may influence the independent variable, which is the number of daily tasks completed by each employee. c.) verbal praise and/or tangible rewards may influence the dependent variable, which is the number of daily tasks completed by each employee. d.) the dependent variables, which are verbal praise and tangible rewards, may influence the number of daily tasks completed by each employee.