Linear Regression on the Calculator, Schemes and Mind Maps of Mathematics

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Name ______________________________________ Date_______________ Math 8A Mantay/Urso Aim: How do we do Linear Regression on the Calculator? Do Now: Let f(x) = 9 – x , g(x) = x^2 + x, and h(x) = x – 2. Compute the following:

1. g(f(3)) 2. h(f(-6)) Linear Regression Buttons 1. STAT Edit… 2. Put lists into L 1 and L 2 3. STAT → CALC 4. 4:LinReg(ax + b) 5. XList: L1 YList: L (FreqList and Store RegEQ can be left blank) **If your calculator still uses the old operating system after step 4, you will hit 2 ND^1 , 2 ND^2 **

1. The data table below shows water temperatures at various depths in an ocean. Write the linear regression equation for this set of data, rounding all values to the nearest thousandth. Using this equation, predict the temperature (°𝑪), to the nearest integer, at a water depth of 255 meters.

2. In a mathematics class of ten students, the teacher wanted to determine how a homework grade influenced a student’s performance on the subsequent test. The homework grade and subsequent test grade for each student are given in the accompanying table. a. Give the equation of the linear regression line for this set of data. b. A new student comes to the class and earns a homework grade of 78. Based on the equation in part a, what grade would the teacher predict the student would receive on the subsequent test, to the nearest integer?

3. The table below shows the number of grams of carbohydrates, x, and the number of Calories, y, of

six different foods. Which equation best represents the line of best fit for this set of data?