Zillow.com is a site that can be used to assess the value of homes in your neighborhood. The organization provides a list of homes for sale as well as a Zestimate, which is the price Zillow believes the home will sell for. The following data represent the Zestimate and sale price (in thousands of dollars) of a random sample of recently sold homes in Charleston, South Carolina.

(a) Draw a scatter diagram of the data, treating the Zestimate as the explanatory variable and sale price as the response variable.
(b) Determine the least-squares regression line. Test whether there is a relation between the Zestimate and sale price at the α = 0.05 level of significance.
(c) A home with a Zestimate of $370,000 recently sold for $150,000. Determine the least-squares regression line with this home included. Test whether there is a relation between the Zestimate and sale price at the α = 0.05 level of significance. Do you think this observation is influential?

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Sale Price Zestimate 362 370 309 315 365.5 371.9 215 218 186.5 184 252.5 260 247.5 250.8 244 251