Question: A scatterplot has a horizontal axis labeled Speed (mph) with values from 0 to 70 and a vertical axis labeled Distance (ft) with values from

A scatterplot has a horizontal axis labeled "Speed (mph)" with values from 0 to 70 and a vertical axis labeled "Distance (ft)" with values from 0 to 400. A line is also imposed on the graph.

  • The following text is at the top of the scatterplot: "Distance = 44.2 + 5.67 Speed s = 34.2 R2 = 95.1%"

Which of the four necessary conditions for linear regression appears to be violated in this situation? (Select all that apply.)

The standard deviation of the values of y from the mean y is the same regardless of the value of the x variable. In other words, y values are similarly spread out at all values of x.This condition can be relaxed if the sample size is large.The form of the equation that links the mean value of y to x must be correct. For instance, we will not make proper inferences if we use a straight line to describe a curved relationship.For individuals in the population with the same particular value of x, the distribution of the values of y is a normal distribution. Equivalently, the distribution of deviations from the mean value of x is a normal distribution with no outliers that influence the results unduly.Observations in the sample are independent of each other.

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