Review linear modeling

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Review linear modeling P 49

Warm up John uses 2/3 of a cup of oats per serving to make oatmeal. How many cups of oats does he need to make 6 servings? The cost of an afternoon movie ticket last year was $4.00. This year an afternoon movie ticket costs $5.00. What is the percent increase of the ticket from last year to this year? The price of a calculator has decreased from $12.00 to $9.00. What is the percent of decrease?

1. The table shows test averages of eight students. If x = the U.S. History Test Average, and y= the Science Test Average, the equation of the least-squares line for the data is y = 077x + 17.65 and r = 0.87. Discuss eorrelation and causation for the data set

2. The table shows numbers of books read by students in an English class over a summer and the students’ grades for the following semester. Find an equation for the line of best fit. Calculate Find and interpret the correlation coefficient Then use your equation to predict the grade of a student who read 7 books.

Some students were surveyed about how much time they spent playing video games last week and their overall test averages. The equation of the least-squares line for the data is y = x -2.82x + 87.50 and r = -0.89. Choose True or False for each statement. A. The variables are time spent playing games and test averages. B. The variables have a negative correlation. C. The variables have a negative weak correlation.

2. Consider f(x)= -3v - 12. Choose True or False for each statement. A. The slope is -3. B. The y-intercept is -12. C. The x-intercept is 4.

3. Look at each equation. Does the equation have a solution of x =3? Select Yes or No for each statement. A. 2x – 8 = 19 – 7x B. – 2(3x – 4) = 10 C. (– 6x/2) = – 9

4. Use your calculator to write an equation for the line of best fit for the following data. Calculate and interpret the correlation coefficient. Use your equation to predict the value of y when x = 25.