Fitting a Linear Model to Data

This graph shows what type of relationship between the variables?

• Positive

• Negative

• No Relationship

• m = 0

• 29% of the variation in the y-variable is explained by the variation of the x - variable

• 7.1% can be explained by other factors

• 71% of the variation in the y-variable is explained by the variation of the x - variable

• The data is unrelated

Determine the correlation of the points on the scatterplot.

• Positive Correlation

• Negative Correlation

• No Correlation

• Zero Correlation

• y = 1.45x + 22
• y = -2x + 15
• y = 1.33x + 30
• y = -1.5x + 24

Morgan has $263.49 in her bank account.  She babysits two days each week.  Each time she babysits she earns $36.  She deposits all the money she earns into her bank account at the end of the week.  Which linear equation below best models the relationship between the total amount of money in Morgan's bank account(T) and the number of weeks(w) that have passed?

• T = 72w + 263.49

• T = 36w + 263.49

• T = 263.49w + 36

• w = 72T + 263.49

The table shows the lengths and corresponding ideal weights of sand sharks. Which r-value is more accurate for the data?

• r = 0.99

• r = -0.90

• r = 0.09

• r = -0.099

What is the equation of the line of best fit?

• y= 6x + 2

• y = -2x +6

Estimate the correlation coefficient for this scatterplot.

• r = -0.9

• r = 1

• r = 0.9

• r = -1

What is the line of best fit?

• f(x)= 5x+1.82

• cannot be determined

• f(x)= 1.82x + 5.02

• f(x)= 1.1x + 4.2

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