Passive and active solar energy systems are becoming viable options to home builders as installation and operating costs decrease. Laminated solar modules utilize high-quality, single-crystal, silicon solar cells, connected electrically in series, to deliver a specified power output. Research was conducted to investigate the relationship between the solar cell temperature (°C) rise above ambient and the amount of insulation (megawatts per square centimeter). Data collected for six solar cells sampled under identical experimental conditions are recorded in the table on p. 555.

a. Fit a least-squares line to the data.

b. Plot the data and graph the line as a check on your calculations.

c. Calculate r and r^{2}. Interpret their values.

d. Is the model useful for predicting temperature rise above ambient? (Use α =.01.)

e. Estimate the mean temperature rise above ambient for solar cells with insulation of 35 megawatts per square centimeter. Use a 99% confidence interval.