Question

1. if the line of best fit for a dataset is y = 5x + 10, what is the predicted value of y when x = 6? a) 35 b) 40 c) 45 9. which regression model would best describe a relationship that forms a u - shaped curve on a scatter plot? a) linear b) quadratic c) exponential

Explanation:

Step1: Substitute \(x = 6\) into the equation

Given the line of best - fit \(y=5x + 10\). Substitute \(x = 6\) into the equation: \(y=5\times6+10\).

Step2: Calculate the value of \(y\)

First, calculate \(5\times6=30\). Then, \(y=30 + 10\).

A linear regression model (\(y=mx + b\)) is for a straight - line relationship. An exponential regression model (\(y = a\cdot b^{x}\)) has a characteristic growth or decay curve (not U - shaped). A quadratic regression model (\(y=ax^{2}+bx + c\)) has a parabola - shaped graph. When \(a>0\), the parabola opens upwards (U - shaped).

Answer:

B. 40