Linear Regression and Correlation Practice

If a man has a shoe size of 10.5, what would be his predicted height? Round to the nearest hundredth (2 decimal places).

The table below shows the lengths and corresponding ideal weights of sand sharks.

Predict the weight of a sand shark whose length is 75 inches. Round to the nearest whole number.

A person travels by car.  They record their miles driven in a data table.  Calculate the linear regression equation of this data.

• y = 61.93x - 1.79

• y = -1.79x + 61.93

• y = 0.016x + 0.03

• y = 0.03x + 0.016

The chart below tracts starting salaries for health care workers since the year 2000. Using linear regression, find the equation of best fit. Round decimals to 3 places.

• y = 839.721x + 27541.812

• y = 27541.812x - 839.721

• y = 27541.812x + 839.721

• y = 839.721x - 27541.812

Write the linear regression equation for the following data points. Round to the nearest hundredth.

The table shown is comparing a person's foot length to their height in cm. Calculate a line of best fit.

• f(x) = 25.05x + 5.57

• f(x) = 5.57x + 25.05

• f(x) = -5.57x + 25.05

• f(x) = 5.57x - 25.05

A restaurant sells pizza for the prices in the data table.  Calculate the linear regression equation of the data.

• y = 1.5x + 12

• y = 12x + 1.5

• y = 0.67x - 8

• y = -8x + 0.67

Shelia collected data on ticket sales for the homecoming dance.  If she plots the data on the scatterplot shown above, which equation best models the table?

• y = 4.22x + 20.98

• y = 4.22x - 20.98

• y = -4.22x + 20.98

• y = -4.22x - 20.98

Data was collected on the weight of a male  laboratory rat for the first 25 weeks after its birth. The linear regression equation is 
y= 40x+100, where x is number of weeks and y is weight in grams. 
What does the y-intercept mean in context of the problem?

• The predicted weight of the rat in year 0. 

• The predicted weight of the rat at birth. 

• The current weight of the rat. 

• The average increase in the rat's weight.